c© 2010 by Mathew Oliver Muether. All rights reserved.STRANGE QUARK CONTRIBUTIONS TO NUCLEON ELECTRIC AND MAGNETICFORM FACTORS FROM PARITY-VIOLATING ELECTRON SCATTERINGASYMMETRIES IN THE BACKWARD ANGLE G0 EXPERIMENTBYMATHEW OLIVER MUETHERDISSERTATIONSubmitted in partial fulfillment of the requirementsfor the degree of Doctor of Philosophy in Physicsin the Graduate College of theUniversity of Illinois at Urbana-Champaign, 2010Urbana, IllinoisDoctoral Committee:Professor Jen-Chieh Peng, ChairProfessor Douglas H. Beck, Director of Dissertation ResearchProfessor Scott S. WillenbrockAssociate Professor Peter Michael AbbamonteAbstractThe G0 collaboration has measured parity-violating asymmetries in elastic electron-proton andquasi-elastic electron-deuteron scattering at Q2 = 0.22, 0.63 GeV2. These asymmetries are sensitiveto strange quark contributions to electric and magnetic properties of the nucleon, as well as to theaxial current of the nucleon. The measurements were made using the polarized beam at JeffersonLaboratory by detecting electrons scattered at ∼110o from liquid targets. Together with previousresults from the G0 forward angle measurement, the form factors which characterize the strangeelectric, strange magnetic and axial contributions were found to beGsE(0.221 GeV2) = −0.0142305 ± 0.035562 ± 0.0181952 ± 0.0176497GsM (0.221 GeV2) = 0.0833777 ± 0.18337 ± 0.0854892 ± 0.0780912GeA(0.221 GeV2) = −0.501236 ± 0.317127 ± 0.193005 ± 0.0878386GsE(0.628 GeV2) = 0.110227 ± 0.0488068 ± 0.0296044 ± 0.0236998GsM (0.628 GeV2) = −0.12354 ± 0.10953 ± 0.0614285 ± 0.0316972GeA(0.628 GeV2) = −0.197329 ± 0.425414 ± 0.256755 ± 0.0948741with statistical, point-to-point systematic and global systematic uncertainties given respectively.These results indicate small (<10%) strange quark contributions to the charge and magnetic nu-cleon form factors at the measured momentum transfers and are also consistent with a signcantreduction in the magnitude of the effective axial form factor compared with that measured in neu-trino scattering experiments, providing the first experimental information on the nucleon anapolemoment.iiFor my loving wife, Angie.iiiAcknowledgmentsThis work would not have been possible without the support and hard work of many importantpeople.First, many thanks are owed to my advisor, Professor Douglas Beck. His passion for scienceand love of learning were truly an inspiration. As spokesman for the experiment, his trust in theeffort of the hard working G0 collaborators and steadfast belief in value of our work provided thefoundation that was needed carry this 10+ year endeavor through to completion. I also thoroughlyenjoyed the many conversations about physics and Cardinals baseball that we had throughout theyears while on shift, over coffee or flying between Illinois and JLab. I will carry a great deal ofconfidence with me as I leave the University of Illinois, and I owe a large portion of that to Doug.Steve Williamson also deserves a very special “thank you” for devoting himself completely tothe operation and maintenance of the G0 magnet, and helping me develop technical skills I wouldnot have otherwise learned. We spent many long hours together tweaking control software, cablingsensors, exercising the coils, and watching movies in the ResFac common room while waiting forthe magnet to cool. I am truly going to miss working with Steve.I also thank the backward angle G0 graduate students (the G0-Unit, not the B-team), CarissaCapuano, Alex Coppens, Colleen Ellis, Juliette Mammei, John Schaub, Maud Versteegen andStephanie Bailey. All were all great friends and coworkers. Fatiha Benmokhtar, who served asthe postdoc during the entire backward angle running and analysis periods, also deserves specialrecognition for her passionate work and guidance of the students. The open and friendly attitudesthat everyone above shared made my graduate experience truly special. I had a wonderful timevisiting everyone’s home institutions during post running analysis tour. Best wishes to all the otherstudents as they begin their careers; I hope to work with everyone in the near future.Many additional collaborators also deserve special recognition. Professors Elizabeth Beise,ivDavid Armstrong, and Mark Pitt were always willing to help me with any problem I may have beenstruggling with, and I’m honestly not sure if this experiment could have been completed withoutthem. Paul King, Julie Roche and Damon Spayde’s experience as postdocs on the froward angleG0 experiments provided an invaluable resource to the backward angle students and postdocs andtheir continued involvement was crucial in my work personally. Kaz Nakahara and Jianglai Jiu, assenior G0 graduate students on the forward angle experiment, helped show me the ropes during myfirst years and set the example for what is expected of a student working on this project. TomislavSeva, Liguang Tang and Steve Wood graciously shared their HKS drift chambers and helped memake them function; also thanks to Brian Quinn for offering CMU’s machining capabilities tofabricate the chamber mounting system. Additionally, Dave Gaskell, Steve Wood, Greg Smith,Rolf Ent, Tonja Horn, Bill Vulcan, Joe Beaufait, Andy Kenyon, Walter Kellner and countless otherJLab staff members were always friendly and hard working, making the prolonged stays in NewportNews all the more tolerable.All of the collaborators on the G0 experiment were great to work with. I regret not mentioningall here, but do extend my sincere appreciation to everyone who put in time helping to make thisexperiment a success.Thanks to all my fellow students, faculty and staff in the NPL group, especially Penny Sigler whomade traveling to and from JLab as smooth as possible. Also thanks to my committee members,Jen-Chieh Peng, Peter Michael Abbamonte, and Scott Willenbrock.I would like to thank my parents, who encouraged me from such a young age to pursue mydreams, and my friends who’s distractions from work were vital to my sanity. Lastly, I would liketo thank the love of my life, my wife, Angie. She has stood by me every step of the way. She putup with me waiting for qual results the day of our wedding rehearsal day. She tolerated my monthsaway during data taking, and remained patient as I worked to completion the last several months.She is more than I deserve. This is for both of us. I love you.This work has been generously supported by the Department of Energy (DOE), National ScienceFoundation (NSF), French National Center for Scientific Research (CNRS), and Natural Sciencesand Engineering Research Council of Canada (NSERC).vTable of ContentsList of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ixList of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiChapter 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.1 Strange Quarks in the Nucleon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21.1.1 Strangeness Contribution to the Nucleon’s Longitudinal Momentum . . . . . 21.1.2 Strange Contribution to the Nucleon Mass . . . . . . . . . . . . . . . . . . . . 31.1.3 Strangeness in the Nucleon Spin . . . . . . . . . . . . . . . . . . . . . . . . . 51.2 Strange Form factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.2.1 Ordinary Form Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.2.2 Flavor Decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101.2.3 Parity Violating Electron Scattering (PVES) . . . . . . . . . . . . . . . . . . 111.3 Theoretical Predictions of Strange Vector Form Factors . . . . . . . . . . . . . . . . 141.3.1 Hadronic Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141.3.2 Lattice Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171.3.3 Results Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.4 Axial Form Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.4.1 Axial form factor formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.4.2 Ge(T=1)A from deuterium PVES . . . . . . . . . . . . . . . . . . . . . . . . . . 211.5 Radiative Corrections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211.6 Previous Results and Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261.6.1 Form factors Measurements at Low Q2 . . . . . . . . . . . . . . . . . . . . . . 261.6.2 Neutrino nucleon scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291.6.3 Previous Parity Violating Electron Scattering Experiments . . . . . . . . . . 301.6.4 PVA4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331.6.5 HAPPEx . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361.6.6 G0 Forward Angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391.6.7 Global analysis at Q2 = 0.1 GeV2 . . . . . . . . . . . . . . . . . . . . . . . . 42Chapter 2 G0 Backward Angle Experiment . . . . . . . . . . . . . . . . . . . . . . 452.1 Polarized Beam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 452.1.1 CEBAF Polarized Source . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 462.1.2 Injector System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 512.1.3 CEBAF Accelerator System . . . . . . . . . . . . . . . . . . . . . . . . . . . . 532.1.4 Beam Line Diagnostics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 542.1.5 Beam Polarization Diagnostics . . . . . . . . . . . . . . . . . . . . . . . . . . 59vi2.1.6 G0 Beam Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 632.2 Target System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 642.3 Superconducting Magnet System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 682.3.1 SMS Cryogenic System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 692.3.2 SMS Vacuum System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702.3.3 SMS Electrical System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702.3.4 SMS Control System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702.3.5 SMS Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 722.4 Detector System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752.4.1 Scintillator Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752.4.2 Cˇerenkov Detectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 772.4.3 Neutron Shielding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 802.4.4 Electronics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80Chapter 3 Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 863.1 G0 Analysis software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 863.1.1 CODA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 863.1.2 g0analysis and mySQL Database . . . . . . . . . . . . . . . . . . . . . . . . . 883.1.3 Running Periods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 933.2 Multi-pass Analysis Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 933.2.1 Pass 1: Beam current, zero count cuts . . . . . . . . . . . . . . . . . . . . . . 943.2.2 Pass 2: Raw yield cuts and scalers effects . . . . . . . . . . . . . . . . . . . . 963.2.3 Pass 3: Electronics Rate Corrections . . . . . . . . . . . . . . . . . . . . . . . 1023.2.4 Pass 4: Helicity Correlated (HC) Beam Properties Corrections . . . . . . . . 1083.2.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1103.3 Oﬄine Run Averaged Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1123.3.1 Monte carlo Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1123.3.2 Aluminum Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1193.3.3 General Background Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . 1213.3.4 Field Scan Dilution Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 1223.3.5 EM Radiative Correction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1383.3.6 Q2 Determination . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1413.3.7 Beam Polarization Corrections . . . . . . . . . . . . . . . . . . . . . . . . . . 1433.3.8 Two boson exchange correction . . . . . . . . . . . . . . . . . . . . . . . . . . 1473.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148Chapter 4 Results and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . 1514.1 Final G0 asymmetry values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1524.1.1 Adjusted Backward Angle Values . . . . . . . . . . . . . . . . . . . . . . . . . 1524.1.2 Forward Angle Results interpolation . . . . . . . . . . . . . . . . . . . . . . . 1534.2 Form factor extraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1544.2.1 Extracted form factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1564.3 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1574.4 Outlook and related future measurements . . . . . . . . . . . . . . . . . . . . . . . . 161Appendix A Systematic Uncertainties: Point-to-point and Global . . . . . . . . 163viiAppendix B Radiative correction calculation details. . . . . . . . . . . . . . . . . 164B.1 Hydrogen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164B.2 Deuterium Simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167Appendix C Cˇerenkov Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170C.0.1 Efficiencies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170C.0.2 Misidentified Pions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172Appendix D Drift Chambers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174Appendix E Songsheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179Appendix F Cell by Cell field scan tables . . . . . . . . . . . . . . . . . . . . . . . 181References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214viiiList of Tables1.1 Electroweak charges of elementary fermions in the Standard Model. . . . . . . . . . 91.2 The tree level and radiatively corrected (“one-quark”) electroweak coupling param-eters for electron-quark interactions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 241.3 The tree level (SM) and (“one-quark”) radiatively corrected weak charges, and theradiative correction factors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241.4 The “one-quark” [22] and “many-quark” [64] corrections to the axial charges, bothin MS, as well as the total corrections. . . . . . . . . . . . . . . . . . . . . . . . . . . 251.5 MA(GeV/c2) values published by µν-deuterium and ν¯µH experiments with ga =−1.267 and M2v = .842. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302.1 Summary table of the helicity-correlated beam parameters throughout the entire run. 633.1 Blinding factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 913.2 Summary of running periods. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 933.3 Typical beam current limits for various running periods. . . . . . . . . . . . . . . . . 953.4 Deadtime contributions from analyzer routine. . . . . . . . . . . . . . . . . . . . . . 1063.5 Deadtime residuals in ppm. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1073.6 362 MeV final slope and false asymmetry values from the HCBP linear regression. . 1123.7 687 MeV final slope and false asymmetry values from the HCBP linear regression. . 1133.8 The final HCBP correction applied to the Pass 3 asymmetry values. . . . . . . . . . 1143.9 Cross sections used in simulations performed for analysis contained in this paper. . . 1173.10 Primary Field Scan Run List . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1233.11 Octant dependant field scalings. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1303.12 LD2 687 M2 (see Table 3.2) pi− Contamination (cont) in percent, σsys,global = 0.3·cont1353.13 LD2 687 M3 (see Table 3.2) pi− Contamination (cont) in percent, σsys,global = 0.3·cont1353.14 Octant averaged pion asymmetry uncertainties in ppm. . . . . . . . . . . . . . . . . 1363.15 The primary background contributions to the electron yield . . . . . . . . . . . . . . 1383.16 Ameas = raw measured asymmetry. Abc = Background corrected . . . . . . . . . . . 1393.17 Deuterium Electromagnetic Radiative Corrections. . . . . . . . . . . . . . . . . . . . 1413.18 Hydrogen Electromagnetic Radiative Corrections Hydrogen Electromagnetic Radia-tive Corrections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1423.19 Q2 sensitivities assuming ∆Q2Q2 = 1%. . . . . . . . . . . . . . . . . . . . . . . . . . . . 1423.20 Q2 Summary; uncertainties include 0.4% model uncertainty. . . . . . . . . . . . . . . 1433.21 Summary of the magnitude of the transverse asymmetries in each dataset. . . . . . . 1443.22 Summary of the magnitude of the transverse correction in each dataset. . . . . . . . 1463.23 TBE corrections for the nucleon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1493.24 The TBE corrections for HAPPEX, A4, and G0 experiments from [139] . . . . . . . 150ix3.25 Corrections to the raw elastic asymmetries after background correction . . . . . . . . 1504.1 Standard Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1554.2 Radiative Terms and GsA used in the G0 form factor extraction . . . . . . . . . . . . 1554.3 Form Factor uncertainties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1554.4 Final energies and Q2 values. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1564.5 Additional uncertainty contributions to extracted form factors: systematic. . . . . . 1604.6 Additional uncertainty contributions to extracted form factors: global . . . . . . . . 160D.1 HKS Drift Chamber Specifications . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174D.2 Drift chamber runs are shown with active CED/FPD pairs in octant 7 and HallC/G0 DAQ run numbering. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177F.1 Pass 3 Target LH2, Energy 687, Octant 1, sbfil= 1.00800 ± 0.00500, r= 15.07922. . 182F.2 Pass 3 Target LH2, Energy 687, Octant 2, sbfil= 1.01200 ± 0.00500, r= 15.11645. . 183F.3 Pass 3 Target LH2, Energy 687, Octant 3, sbfil= 1.02200 ± 0.00500, r= 15.20827. . 184F.4 Pass 3 Target LH2, Energy 687, Octant 4, sbfil= 1.03200 ± 0.00500, r= 15.29830. . 185F.5 Pass 3 Target LH2, Energy 687, Octant 5, sbfil= 1.05100 ± 0.00500, r= 15.46465. . 186F.6 Pass 3 Target LH2, Energy 687, Octant 6, sbfil= 1.03200 ± 0.00500, r= 15.29830. . 187F.7 Pass 3 Target LH2, Energy 687, Octant 7, sbfil= 1.02400 ± 0.00500, r= 15.22642. . 188F.8 Pass 3 Target LH2, Energy 687, Octant 8, sbfil= 1.00000 ± 0.00500, r= 15.00385. . 189F.9 Pass 3 Target LH2, Energy 362, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.69683. . . 190F.10 Pass 3 Target LH2, Energy 362, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.55837. . . 191F.11 Pass 3 Target LH2, Energy 362, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.21696. . . 192F.12 Pass 3 Target LH2, Energy 362, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.88217. . . 193F.13 Pass 3 Target LH2, Energy 362, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.26362. . . 194F.14 Pass 3 Target LH2, Energy 362, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.88217. . . 195F.15 Pass 3 Target LH2, Energy 362, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.14948. . . 196F.16 Pass 3 Target LH2, Energy 362, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.97707. . . 197F.17 Pass 3 Target LD2, Energy 687, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.77019 . . 198F.18 Pass 3 Target LD2, Energy 687, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.67426 . . 199F.19 Pass 3 Target LD2, Energy 687, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.43772 . . 200F.20 Pass 3 Target LD2, Energy 687, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.20577 . . 201F.21 Pass 3 Target LD2, Energy 687, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.77721 . . 202F.22 Pass 3 Target LD2, Energy 687, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.20577 . . 203F.23 Pass 3 Target LD2, Energy 687, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.39097 . . 204F.24 Pass 3 Target LD2, Energy 687, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.96435 . . 205F.25 Pass 3 Target LD2, Energy 362, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.63378. . . 206F.26 Pass 3 Target LD2, Energy 362, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.58187 . . 207F.27 Pass 3 Target LD2, Energy 362, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.45387 . . 208F.28 Pass 3 Target LD2, Energy 362, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.32834 . . 209F.29 Pass 3 Target LD2, Energy 362, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.09643 . . 210F.30 Pass 3 Target LD2, Energy 362, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.32834 . . 211F.31 Pass 3 Target LD2, Energy 362, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.42856 . . 212F.32 Pass 3 Target LD2, Energy 362, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.73885 . . 213xList of Figures1.1 Parton distribution functions for Q = 2 GeV. . . . . . . . . . . . . . . . . . . . . . . 31.2 The Feynman diagrams of three types of electroweak currents and their couplings tothe gauge bosons. [75] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81.3 The tree level Feynman diagrams of the elastic electron-nucleon scattering via EMand neutral current interactions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121.4 Example of phenological hadronic models which introduce strangeness into the proton. 151.5 Lattice results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181.6 Theoretical predictions for µs ≡ GsM (Q2 = 0) and r2s . . . . . . . . . . . . . . . . . . . 191.7 Two representative “one-quark” radiative correction diagrams. . . . . . . . . . . . . 221.8 The form factor fits for GpE , GpM , GnE and GnM with a range of Q2 from 0.1 to1.1 (GeV/c)2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281.9 World data on GnE from double-polarization experiments. . . . . . . . . . . . . . . . 291.10 The schematic setup of the SAMPLE experiment. . . . . . . . . . . . . . . . . . . . . 311.11 The SAMPLE hydrogen and deuterium results plotted in the GsM vs. Ge(T=1)A plane. 331.12 Comparison of the two SAMPLE deuterium measurements to expectation from the-ory using axial radiative corrections as computed by Zhu. . . . . . . . . . . . . . . . 341.13 The setup of the PVA4 forward angle experiment. . . . . . . . . . . . . . . . . . . . 341.14 A typical energy spectrum of detected particles in PVA4. . . . . . . . . . . . . . . . 351.15 The linear combination of GsE + ηGsM from A4 backangle together with the A4forward angle measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371.16 The setup of the HAPPEx experiment. . . . . . . . . . . . . . . . . . . . . . . . . . . 381.17 The combined result for all HAPPEx measurements, taken with Q2 between 0.077and 0.109 GeV2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391.18 Schematic of the G0 forward angle detector setup. . . . . . . . . . . . . . . . . . . . 401.19 Example of the raw asymmetry, Ameas, (data points) and yield (histogram) as afunction of t.o.f. for detector 8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411.20 The combination GsE + ηGsM for the G0 forward angle measurement. . . . . . . . . . 421.21 The world data constraints on (GsE , GsM ) at Q2 = 0.1 (GeV/c)2. . . . . . . . . . . . 432.1 Schematic of the CEBAF beam delivery system. . . . . . . . . . . . . . . . . . . . . 462.2 Laser Table Schematic. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 472.3 Schematic of the fiber-based laser system. . . . . . . . . . . . . . . . . . . . . . . . . 482.4 The Pockel cell acts as a controllable quarter-wave plate, turning linear light intocircularly polarized light. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 492.5 Band gaps shown for the bulk and strained GaAs crystals. . . . . . . . . . . . . . . . 52xi2.6 Diagram of a Wien filter indicating the rotation of the beam polarization relative tothe beam direction (ηWien) in crossed magnetic and electric fields (EB = β ). . . . . 532.7 Schematic of cavity BCM. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 552.8 Schematic of stripline BPM. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562.9 Positions of halo target and G0 girder halo detectors. . . . . . . . . . . . . . . . . . . 572.10 G0 luminosity detector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 572.11 Schematic of the Hall C Møller polarimeter. . . . . . . . . . . . . . . . . . . . . . . . 602.12 Møller polarization measurements taken during 687 MeV running. . . . . . . . . . . 612.13 Schematic of the Mott polarimeter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 622.14 Mott measurements during the G0 Backward experiment. . . . . . . . . . . . . . . . 632.15 Overview of the G0 liquid hydrogen cryotarget. . . . . . . . . . . . . . . . . . . . . . 642.16 A detailed view of the G0 target manifold which houses the primary hydrogen celland the secondary helium cell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652.17 LUMI widths versus beam current for 687 MeV hydrogen. . . . . . . . . . . . . . . . 672.18 A view of the octants and an side-view of sms field in one octant . . . . . . . . . . . 682.19 G0 SMS cryogenic circuit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 692.20 G0 SMS electrical circuit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 712.21 Location of feedthrough ports. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 722.22 SMS control system. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 732.23 A picture of the custom transistorized board added to the relay switching boxes. . . 732.24 A schematic of the custom transistorized board added to the relay switching boxes. 742.25 G0 backward angle detector system. . . . . . . . . . . . . . . . . . . . . . . . . . . . 762.26 G0 backward angle Cˇerenkov electron detector system. . . . . . . . . . . . . . . . . . 782.27 Gain of Cˇerenkov electron detector system versus axial field . . . . . . . . . . . . . . 792.28 Count rate per neutron as a function of distance from the center of the photo-sensitivewindow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 812.29 Basic timing diagram of signals in the coincidence board. . . . . . . . . . . . . . . . 822.30 NA Electronics Schematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 832.31 FR Electronics Schematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 853.1 DAQ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 873.2 Structure of the analysis database . . . . . . . . . . . . . . . . . . . . . . . . . . . . 893.3 Structure of the slow control database . . . . . . . . . . . . . . . . . . . . . . . . . . 903.4 Matrix plot of yield (Hz/µA) for each electron CED/FPD coincidence. . . . . . . . . 923.5 Structure of the multi-pass analysis. Scaler yield correction (SYC), Linear regressioncorrection (LRC). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 943.6 The ratio of simulated asymmetry data generated by averaging quartets with arunning average (Arun) to asymmetries generated by summing common helicitystate counts and forming the asymmetry from the totals (Asum) versus the averagecounts in a given MPS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 963.7 Simulation of the RCS effect versus data from pulser. . . . . . . . . . . . . . . . . . . 973.8 Example of near timing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 983.9 Example of yield cut effect on the asymmetry for yield cuts at n sigma from the mean 993.10 Comparison of NA asymmetry before and after electronics fix for an example coin-cidence cell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1003.11 684 MeV LH2: The asymmetry histograms are shown for a large sample of quartets. 1013.12 684 MeV LD2: The asymmetry histograms are shown for a large sample of quartets. 101xii3.13 359 MeV LH2: The asymmetry histograms are shown for a large sample of quartets. 1023.14 359 MeV LD2: The asymmetry histograms are shown for a large sample of quartets. 1023.15 Measured rates in Hz/µA as a function of beam current in µA before and after ratecorrections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1073.16 Wells plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1083.17 Slopes versus octant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1113.18 362 MeV summary of the four passes effects on asymmetry. . . . . . . . . . . . . . . 1143.19 687 MeV summary of the four passes effects on asymmetry. . . . . . . . . . . . . . . 1153.20 Asymmetry coefficients a0-a3 are shown for deuterium at 362 MeV . . . . . . . . . . 1183.21 Asymmetry coefficients a0-a3 are shown for deuterium at 687 MeV . . . . . . . . . . 1193.22 dσdΩdE (nb/sr/GeV) vs ω (MeV): Y-scaling simulation (line), data from [125]. . . . . . 1203.23 Flyswatter data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1213.24 687 MeV Empty target rate data (blue), shown with simulation scaled by a factorof 2 (red). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1223.25 D684 - Rate matrix at multiple field setting. . . . . . . . . . . . . . . . . . . . . . . . 1243.26 H684 - Rate matrix at multiple field setting. . . . . . . . . . . . . . . . . . . . . . . . 1253.27 D359 - Rate matrix at multiple field setting . . . . . . . . . . . . . . . . . . . . . . . 1263.28 H359 - Rate matrix at multiple field setting. . . . . . . . . . . . . . . . . . . . . . . . 1273.29 Octant 5 - Field scan from single elastic cell on the inelastic edge of elastic locus. . . 1283.30 Octant 5 - Example of scalings applied to the simulation for fitting. . . . . . . . . . . 1283.31 Universal field scalings applied to the simulated fields . . . . . . . . . . . . . . . . . 1303.32 CED 6, FPD 10-12 theta versus momentum detector acceptance plot for 687 LH2. . 1333.33 Single cell dilutions from octant 3 for each target energy setting. . . . . . . . . . . . 1343.34 Summary of the dilution correction and the effect of the multiplicative blinding factoron asymmetry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1373.35 Amplitudes for virtual internal radiative corrections. . . . . . . . . . . . . . . . . . . 1403.36 Amplitudes for real internal radiative corrections. . . . . . . . . . . . . . . . . . . . . 1403.37 Sinusoidal fits to asymmetries versus azimuthal detector package number to deter-mine transverse correction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1453.38 Two boson exchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1483.39 (a) TPE and (b) γZE box diagrams with ∆ intermediate states. . . . . . . . . . . . . 1484.1 Fit of the G0 Forward Angle results. . . . . . . . . . . . . . . . . . . . . . . . . . . . 1544.2 Error bands of the GsE , GsM and GeA for Q2 =0.63 GeV2. . . . . . . . . . . . . . . . . 1574.3 Error bands of the GsE , GsM and GeA for Q2 =0.22 GeV2. . . . . . . . . . . . . . . . . 1584.4 The form factors a) GsE , b) GsM , and c) GeA . . . . . . . . . . . . . . . . . . . . . . . 1594.5 Charge collected by HappeX-III. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162B.1 Comparison of radiative correction models in deuterium. . . . . . . . . . . . . . . . . 169C.1 TOF spectra with the summed two Gaussian fit results . . . . . . . . . . . . . . . . 171C.2 Cˇerenkov Efficiency Matrix (M2 Trigger) . . . . . . . . . . . . . . . . . . . . . . . . . 172C.3 Efficiency Comparisons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173C.4 ARS spectra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173D.1 Wire chamber plane orientation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175D.2 Drift chamber installation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175D.3 CED/FPD and drift chamber acceptance shown in CED/FPD space. . . . . . . . . . 176xiiiD.4 Drift chamber simulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176D.5 Drift chamber tracking results. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178E.1 Songsheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180xivChapter 1IntroductionThe late 1940’s and early 1950’s were highly productive times in nuclear physics which sawthe discovery pi and K mesons along with Σ, Λ and ∆ baryons. Grouping and categorizing thesenew particles by charge and isospin together with the proton and neutron lead Gell-Mann andNishijima to introduce a new quantum number related to the strong interaction, “strangeness“.This eventually lead to the birth of the constituent quark model of hadronic matter in 1963 byGell-Mann and Zweig in which hadrons are composed from three favors (up, down and strange) offundamental spin 1/2 Dirac particles known as quarks [1]. In 1965, in an attempt to explain theexistence of the ∆++ (uuu) particle, an additional SU(3) gauge degree of freedom (color charge)was proposed for the quarks, implying for the first time that quarks may interact via exchangeof gauge bosons, called gluons. In 1969 deep inelastic scattering experiments conducted at SLACconfirmed that hadrons were indeed composed of real point-like quarks which were not simply amathematical formalism. By the early 1970s, the quantum field theory describing the interactionbetween quarks and gluons, Quantum Chromodynamics (QCD), had been established, eventuallyincluding three additional heavier quarks, charm, top, and bottom. This, together with electroweakinteraction, comprises the Standard Model (SM) of particle physics.One of the most interesting features of QCD is that the interaction strength between quarksgrows with distance. This leads to the phenomenon of color confinement, in which an individualquark cannot be liberated from hadronic mater. It also means that perturbative versions of QCDare only valid at distance scales much smaller than the typical size of a nucleon. Describing QCDat this scale, ∼1 fermi (fm), on the other hand, is a complicated problem. At the correspondingenergy scales, protons and neutrons are composed of up and down valences quarks as well as asea of gluons which fluctuate into quark/anti-quark pairs comprising u, d and s flavors. In muchthe same way that understanding how the vacuum fluctuation effects from photons contribute to1properties of the electron helped solidify QED, studying the quark-gluon sea helps us understandQCD and ultimately the composition of matter in general.Since ordinary nucleons have valence quarks with u and d flavors, the properties to whichthe strange quarks may contribute in these systems uniquely reflect effects of the sea. Thus, aconsiderable amount of effort has been put into both theoretical and experimental development tomeasure and describe the contributions of strange quarks to fundamental properties of nucleonsover a large range of energies. What follows in this chapter is a summary of efforts to characterizethe physics of strange quarks in the nucleon, with particular emphasis on the main focus of thisthesis, the nucleon vector form factors, a large part of which follows the notation and formalismused in [32, 75, 76].1.1 Strange Quarks in the NucleonA large international experimental program has been underway since the 1970s, with the explicitpurpose (sometimes within larger experiments) of measuring the various strange observables of theproton and neutron over a broad range of four-momentum transfers.1.1.1 Strangeness Contribution to the Nucleon’s Longitudinal MomentumThe NuTeV collaboration at Fermi Lab measured the existence of s quark contributions to nu-cleon properties through deep inelastic neutrino-nucleon scattering. They used charm productionfrom the charged current weak interactions between muon neutrinos νµ and quarks (predominantlysensitive to the s quarks due to Cabibbo suppression of the d contribution) to probe quark distri-bution functions, qi(x), which indicate the number density of finding a quark of flavor i carryinga fraction, x, of the nucleon’s total momentum. They report a ratio of the total fraction of themomentum of the nucleon carried by strange quarks (s and s¯) to that by the “non-strange” seaof [2]12∫ 10 s(x) + s¯(x)dx∫ 10 u¯(x) + d¯(x)dx= 0.42± 0.07 ± 0.06 , (1.1)at Q2 = 16 (GeV/c)2. They also report the total fraction of the nucleon momentum carried bystrange (anti-strange) quarks at ∼ 2%. This is also evidenced in the CTEQ parton distribution2functions [3] (Fig. 1.1) which show sea partons (s, gluons etc.) dominate only for low momentumfraction, x. Additionally, the difference between strange and anti-strange distributions have beenfound to be small, 0.00203± 0.00056(stat)± 0.00055(syst)+0.00150−0.00109(external) [4]. This result repre-sents a clear signal that the existence of strangeness in the quark/antiquark sea plays a significantrole in the description of the nucleon.Figure 1.1: Parton distribution functions for Q = 2 GeV, where x is the momentum fraction of thetotal nucleon momentum carried by the parton.1.1.2 Strange Contribution to the Nucleon MassThe mass contribution of the strange quark to the nucleon has been studied using pion-nucleonscattering measurements in conjunction with input from hyperon mass determinations. As thequark masses approach zero, the chiral limit, the mass of the nucleon approaches a non-zero valueM0, coming from the gluon and q¯q condensate alone. However, when the masses of the quarks areallowed physical values, additional terms in the scalar matrix element contribute to the mass of3the nucleon asMN = M0 + σˆ + σs + heavy quark terms (1.2)σˆ = mˆ〈N |u¯u+ d¯d|N〉 , (1.3)σs = ms〈N |s¯s|N〉 , (1.4)where mˆ =mu +md2. The effect from the heavy quark terms is typically taken to be small andnegligible.Hyperon mass splitting effects due to the SU(3) breaking [5] provide one channel to explorethese scalar matrix element contributions. To first order the mass difference between Λ and Ξhyperons is sensitive to the strange mass13(1− msmˆ)(1− y)σˆ =MΛ −MΞ (1.5)where MΛ and MΞ are the masses of Λ and Ξ hyperons, respectively, andy =2〈N |s¯s|N〉〈N |u¯u+ d¯d|N〉 . (1.6)Usingms/mˆ ∼ 26 [6], and y = 0 gives σˆ ∼ 25 MeV (35 MeV [7] with higher order chiral corrections).These results can be compared directly with the analysis of the pi−N “sigma term”, ΣpiN .Experimentally, ΣpiN is related to the isospin even pi−N scattering amplitude which is sensitive tothe mass terms throughΣpiN ' σˆ(t = 2m2pi), (1.7)where t is the four-momentum transfer squared to the nucleon. Obtaining a physically meaningfulvalue using this experimental technique however requires an extrapolation of the experimental datausing phase-shift analysis and dispersion calculations [8]. This has been done [7] for data with tranging between -5000 and -300 MeV2. The result at t = 0 (needed for mass relations) is a valuefor σˆ of ∼ 45 MeV with a strong dependance on t.The discrepancy between 35 and 45 MeV is an indication that strange quarks contribute to thescalar matrix element with y ∼ 0.2. Using a typical bare light quark mass of mˆ ∼ 5 MeV [9] and4ms/mˆ ∼ 26 [6] leads to a determination of the strange mass termσs = ms〈N |s¯s|N〉 ∼ 130 MeV , (1.8)suggesting that the strange quarks contribute sizably to the nucleon mass. One should take notethat these techniques are highly model dependent and systematics limited. Comparing to latticecalculations, σˆ(t = 0) ∼ 45 − 55 MeV [10][11] and varied results for separate analyses [12][13] theuncertainty of the strange scalar matrix element 〈N |s¯s|N〉 is at the 100% level.1.1.3 Strangeness in the Nucleon SpinFor a polarized nucleon, qi(x) (described above) can be written qi(x) = q↑i (x)+q↓i (x), with ↑ (↓)indicating the component of quark spin aligned (anti-aligned) to the total spin of the nucleon. Thetotal quark flavor i contribution to the first moment of the spin of the nucleon is then∆qi =∫ 10[q↑i (x)− q↓i (x)] dx , (1.9)where qi can be a quark or anti-quark of flavor i (u,d,s,. . . ). It has been determined experimentallythat the total spin from the quarks does not make up the total spin of the nucleon. This ”spin crisis”is the origin of extensive ongoing study of the spin-flavor structure of the nucleon in deep-inelasticscattering(DIS), the details of which will not be described here. Additionally, ∆qi is related to thenucleon axial current matrix element as∆qiσµ = 〈p,(σ|q¯iγµγ5qi|p,(σ〉. (1.10)where σµ is the covariant spin vector of the nucleon.Polarized inclusive DIS of electrons (or muons) from the nucleon is described by two polar-ized structure functions, g1(x,Q2) and g2(x,Q2). To the leading order in parton models, g1 isindependent of Q2 givingg1(x) =12∑ie2qi[q↑i (x)− q¯↑i (x)]. (1.11)5Taking into account only light quarks, one gets a g1 sum rule ofΓ1 =∫ 10g1(x) dx =12(49∆u+19∆d+19∆s), (1.12)in which the contributions of a quark and anti-quark of a given flavor are combined. Multipleexperiments have been carried out at CERN [14, 15], SLAC [16, 17] and DESY [18] to determineg1 over a large range of x and Q2, and thus constrain ∆s. Additionally, the Bjorken sum rule putsa second constraint on ∆u and ∆d as [19]∆u−∆d = F +D = −gAgV(1.13)where gA and gV are the charged current weak axial and vector charges of the neutron and F and Dare parameters characterizing the charged current matrix element (W±)of the baryon octet [20, 21].These parameters also characterize the SU(3) relation∆u+∆d− 2∆s = 3F −D ≡ 2√3g8A (1.14)and have been determined through beta decay measurements with F +D ≡ −gA/gV = 1.2695 ±0.0029 [22] from neutron beta decay and 3F − D = 0.585 ± 0.025 from hyperon beta decay data[23].Simply solving Eqns. 1.12 and 1.14 for the values of ∆qi with the values of Γ1, gA/gV and3F −D given above gives∆u = 0.76± 0.03 , ∆d = −0.51± 0.03 , ∆s = −0.17± 0.03 , (1.15)indicating that the overall contribution of quarks to the nucleon spin is quite small and ∆s is smalland negative. This historic result [24], was more recently confirmed by HERMES and COMPASSwhich obtained ∆s+∆s¯ = −0.09± 0.01(stat .)± 0.02(syst .) at Q2 = 10(GeV )2 at leading order inQCD. However, this technique is still largely model dependent due to its reliance on spin structurefunctions for x dependance as well as relying on the assumption that ∆s = ∆s¯. For these reasons,determining these values precisely is still extremely challenging.6Semi-inclusive DIS experiments, in which the scattered lepton and a specific flavored hadronin the final state are detected in coincidence, can help isolate the contributions to spin from theindividual quark flavors. In particular, by looking at the kaon channels in polarized semi-inclusiveDIS, the HERMES [25] and COMPASS [26] collaborations, have measured ∆s. In a full flavordecomposition analysis, HERMES has obtained ∆s = 0.028 ± 0.033(stat.) ± 0.009(syst.) in therange 0.023 < x < 0.6. COMPASS measures ∆s = −0.01 ± 0.01(stat.) ± 0.02(syst.) (with globalfragmentation functions from [27]) in the extended range 0.004 < x < 0.3. The discrepancy betweenthese results and those from inclusive DIS indicate the current size of model uncertainty in ∆s.Neutral weak probes are also sensitive to ∆s. It contributes to neutrino-nucleon scattering andto a lesser degree (suppressed due to the smallness of electron’s weak charge) parity violating elasticelectron scattering. The relevance of this to the axial form factor of the nucleon is described insections below.1.2 Strange Form factorsThe measurements described above (in which s and s¯ effects are additive) establish that thestrange quark sea does indeed contribute to the global properties of the nucleon. The remainder ofthis document will focus on an extension of this exploration to measuring the strange electric andmagnetic form factors GsE , GsM which are sensitive to differences in the distributions of s and s¯ inthe nucleon.1.2.1 Ordinary Form FactorsA typical quantity used in scattering experiments to describe properties of objects with extendeddistributions is the form factor. In general, the form factor, F (Q), is a four-momentum transfer, Q,dependent function that quantifies the difference between the cross section for scattering (typicallyusing electrons) from the extended object and scattering from a point-like charge [28] asdσdΩ= (dσdΩ)point|F (Q)|2. (1.16)7For a heavy spin 0 target and non-relativistic scattering, the form factor above is simply equal tothe Fourier transform of the charge distribution. In scattering electrons from nucleons, things areslightly more complicated as both charge and magnetization distributions are involved, and thenucleon can have significant recoil momentum.In the Standard Model of particle physics, electron (a point-like fermion) nucleon scattering ismediated via the exchange of vector gauge bosons. In this theory, there are three types of fermioncurrents in the electroweak sector, electromagnetic (EM), neutral current (NC) and charged current(CC), which couple via γ (photon), Z0 and W± exchange, respectively. The relevant Feynmandiagrams are shown in Fig. 1.2.(a) EM Current (b) Neutral Current (c) Charged CurrentFigure 1.2: The Feynman diagrams of three types of electroweak currents and their couplings tothe gauge bosons. [75]These interactions are typically written in the language of current operators whereJˆ µEM = Qψ¯γµψ , (1.17)Jˆ µNC = ψ¯γµ(cV + cAγ5)ψ , (1.18)Jˆ µCC = ψ¯′γµ(1− γ5)ψ . (1.19)in which ψ (ψ¯) is the annihilation (creation) operator of the fermion field, γµ (µ = 0, 1, 2, 3)are the Dirac matrices, Q is the electric charge of the fermion (in units of the proton charge),γ5 = iγ0γ1γ2γ3, and cV = 2T 3−4Q sin2 θW and cA = −2T 3 are the so-called weak vector and axialcharges of the fermion [75]. The electric, weak vector and axial charges of different elementaryfermions are listed in Table 1.1 where T 3 = ±12 is the third isospin component of the (left-handed)fermion in the SU(2) weak isospin space, and θW is the Weinberg (weak mixing) angle. It is8important to note that the EM current is purely a Lorentz vector while the neutral and chargedcurrents both have a vector and an axial (V−A) component. Here, we focus on the γ and Z0currents.Fermion Q T 3 cV cAνe, νµ, ντ 012 1 −1e, µ, τ −1 −12 −1 + 4 sin2 θW 1u, c, t 2312 1− 83 sin2 θW −1d, s, b −13 −12 −1 + 43 sin2 θW 1Table 1.1: Electroweak charges of elementary fermions in the Standard Model.Applying this picture to the nucleon, its current operator can be written as a sum of the quarkcurrent operators. Eqns. 1.17 and 1.18 lead to electromagnetic and neutral currents for the nucleonJ µ,NEM ≡ 〈N(p′)|Jˆ µEM,N|N(p)〉 = 〈N(p′)|∑j=quarksq¯jQjγµqj|N(p)〉 (1.20)J µ,NNC ≡ 〈N(p′)|Jˆ µ,NNC |N(p)〉 = 〈N(p′)|∑j=quarksq¯jγµ(cjV + cjAγ5)qj |N(p)〉 , (1.21)in which p and p′ represent the initial and final four-momenta of the nucleon, j represents the quarkspecies, qj and q¯j are the quark fields, and Qj , cjV and cjA are the electric, weak vector and axialcharges of quark flavor j, respectively [75].Due to the extended structure of the nucleon, form factors are defined to capture the internalstructure for vector and axial vector couplings asVµ = 〈N(p′)|ψ¯γµψ|N(p)〉 = ¯U(p′)[F1γµ + F2iσµνqν2M]U(p) , (1.22)Aµ = 〈N(p′)|ψ¯γµγ5ψ|N(p)〉 = ¯U(p′)[GAγµγ5 +GP2Mqµγ5]U(p) , (1.23)in which σµν = i2 [γµ, γν ], q ≡ p′ − p is the four-momentum transfer to the nucleon, M is the massof the nucleon, and U and U¯ are nucleon spinors. F1, F2 and GA are the Dirac, Pauli and axial formfactors, respectively [75]. The form factors are dimensionless functions of four-momentum transfer9squared (q2 or Q2 = −q2 > 0). The pseudoscalar form factor, GP , which changes sign under parityinversion does not contribute to parity violating electron scattering (PVES) described below. F γ1and F γ2 , the Dirac and Pauli EM form factors of the nucleon, are normalized asF γ1 (0) = QN , Fγ2 (0) = κN , (1.24)at Q2 = 0 where QN is the electric charge of the nucleon (in units of |e|), and κN is the anomalousmagnetic moment of the nucleon (in units of the Bohr magneton). It is customary when discussingthe form factors of the proton to use the Sachs form factors, which are linear combinations of theDirac and Pauli form factorsGE = F1 − τF2GM = F1 + F2 (1.25)where τ ≡ Q2/4M2N > 0. In this language the electric, GE , and magnetic GM form factors reduceto the charge and magnetic moment at Q2 = 0, and, in the Breit frame of reference, recover thephysical interpretation of Fourier transforms of charge and magnetic moment distributions [28].1.2.2 Flavor DecompositionIf one treats the nucleon as being built from its quark content and applying standard electroweakmodel coupling to the up, down, and strange quarks, the form factors can be expanded into flavorcomponents by interaction type. The heavier quarks (c, t, b) have been shown to provide negligiblecontributions to the nucleon EM structure [29]. For the standard electromagnetic interaction withthe nucleon the quark form factors simply add linearly with quark charge coefficients to make thetotal form factorGγE,M =23GuE,M −13GdE,M −13GsE,M (1.26)10whereas, for the neutral weak interaction, the EM quark charges are replaced by the correspondingNC chargesGZE,M = (1−83sin2 θW )GuE,M + (−1 +43sin2 θW )GdE,M + (−1 +43sin2 θW )GsE,M . (1.27)The ”weak charges” in Eq. 1.27 depend on the weak mixing angle which is very accurately known(sin2 θW = 0.23120 ± 0.00015 [22]). The flavor form factors, Gu,d,sE,M , include contributions fromboth quarks and anti-quarks with opposite signs. Utilizing the charge symmetry of the proton andneutron [30, 31],Gu,pE,M = Gd,nE,M , Gd,pE,M = Gu,nE,M , Gs,pE,M = Gs,nE,M . (1.28)the up and down quark contributions can be eliminated from the weak neutral form factor revealinga direct relationship between the strange and electromagnetic form factorsGZ,pE,M = (1− 4 sin2 θW )Gγ,pE,M −Gγ,nE,M −GsE,M . (1.29)The breaking of the equalities in Eq. 1.28 is generally at the level of 1% or less [30] which issmall compared with the experimental precision with which GZ,pE,M can be measured. The ordinaryelectromagnetic form factors of the nucleons, Gγ,pE,M and Gγ,nE,M , are well determined in the Q2 rangeof current experimental interest as described in Sec. 1.6.1 below. Thus, measurements of GZ,pE,Mallow for a unique determination of GsE,M which reflects purely sea effects of the nucleon.1.2.3 Parity Violating Electron Scattering (PVES)Elastic e−N scattering is dominated by the EM interaction, in which the electron and nucleonexchange a photon, γ with a small contribution from neutral current, Z0 boson exchange. Treelevel Feynman diagrams describing these scattering processes are shown in Fig. 1.3.The invariant amplitude of these scattering processes are obtained by placing the gauge bosonpropagators between the electron and nucleon currents with relevant coupling constants of theinteraction. For the EM interaction in Fig. 1.3(a), this amplitude is given byMγ = 4piαJ µ,eEMgµνQ2J ν,NEM , (1.30)11(a) γ exchange. (b) Z0 exchangeFigure 1.3: The tree level Feynman diagrams of the elastic electron-nucleon scattering via EM andneutral current interactions.in which α = 7.297×10−3 is the fine structure constant, Q2 is the four-momentum transfer squared.J µ,eEM is the electron EM current, which takes the simple point-like form Eq. 1.17, and J ν,NEM is thenucleon EM current given by Eq. 1.20 [75]. The neutral current amplitude, shown in Fig. 1.3(b) issimilarlyMZ = g216 cos2 θWJ µ,eNCgµν − qµqν/M2ZQ2 −M2ZJ ν,NNC , (1.31)where g = 0.653 is a dimensionless electroweak coupling constant [22], θW is the Weinberg angle,MZ = 91.19 GeV is the mass of the Z boson [22], and J µ,eNC and J ν,NNC are the electron and nucleonneutral currents from Eqs. 1.18 and 1.21, respectively [75]. For Q2 < 1 (GeV/c)2, the neutralcurrent interaction can expressed as a simple contact interaction with associated coupling constantGF . With this simplification [75]MZ = −GF gµν2√2J µ,eNCJ ν,NNC , (1.32)GF ≡√2g28M2Z cos2 θW= 1.16637 × 10−5GeV−2 . (1.33)The total invariant amplitude of e−N elastic scattering is given by the sumMtot =Mγ +MZ . (1.34)12This amplitude can then be related to the measurable scattering probability dσ asdσ ∝ |Mtot|2 = |Mγ |2 + 2M∗γMZ + |MZ |2 , (1.35)in which the “*” on Mγ indicates the complex conjugate. The orders of magnitude of the threeterms in Eq. 1.35 can be estimated be examining the relative sizes of couplings. For Q2 < 1 GeV2,|Mγ |2 : 2M∗γMZ : |MZ |2 ∼(4piαQ2)2: 24piαQ2GF2√2:(GF2√2)2∼ 1 : 2× 10−4 : 9× 10−9 .For this reason the electron scattering cross section, which depends on the two independent formfactors F1(Q2) and F2(Q2) is conventionally writtendσdΩ|lab = ( α24E2sin4Θ2)E′E[(F 21 +κ2Q24M2F 22 )cos2Θ2+ (Q22M2(F1 + κF2)2sin2Θ2)] (1.36)where κ is the anomalous magnetic moment, M is the mass of the nucleon, α is the fine structureconstant, E is the initial electron energy, and E’ is the final electron energy [28] because it isdominated by the EM interaction. As described below in Sec. 1.6.1, a Rosenbluth separation,from measurements at multiple θ values, can be performed to determine the EM form factors.However, this technique does not provide sensitivity to weak neutral form factors needed for flavorseparation. Nevertheless, since the weak interaction violates parity (mirror symmetry), parity-violation in e−N elastic scattering is generated from the interference term 2M∗γMZ . Therefore, ameasurement of the parity-violating asymmetry in elastic e−N scattering provides an experimentalobservable which reveals the neutral current contribution.Experimentally, one measures the neutral weak form factors using the asymmetry present inparity violating electron-proton elastic scattering [32]A =dσR − dσLdσR + dσL(1.37)where σR and σL are cross sections for right and left-handed longitudinally polarized electronsscattered from unpolarized targets, respectively. Arising from the interference between the electro-13magnetic and neutral weak interaction, the asymmetry is given by [32]A =−GFQ24√2piαεGγEGZE + τGγMGZM − (1− 4 sin2 θW )ε′GγMGeAε(GγE)2 + τ(GM )2(1.38)whereε =11 + 2(1 + τ) tan2 θ2, ε′ =√τ(1 + τ)(1− ε2)andτ =Q24M2p(1.39)are kinematic quantities, Q2 > 0 is the four-momentum transfer, and θ is the laboratory electronscattering angle. In addition to the electromagnetic and neutral weak form factors described above,this expression also contains a dependence on the axial vector coupling GeA (described below). Thus,in order to completely separate GZE , GZM , and GeA at least three independent measurements areneeded. These form factors combined with existing GγE,M measurement allow for the determinationof the flavor form factors, and in particular GsE,M . A detailed description of the experimentaltechnique is presented in Chapter 2.1.3 Theoretical Predictions of Strange Vector Form FactorsDue to the non-perturbative nature of QCD, in the accessible Q2 range, theoretical predictionsof the s quark charge and magnetic form factors rely heavily on modeling and experimental inputparameters. Most calculations focus on the leading Q2 characteristics of the form factors, themagnetic moment µs, and charge radius rs. The common methods for calculating µs and rsare through loop or pole hadronic modeling, or lattice calculations. A brief description of thesetechniques is given below.1.3.1 Hadronic ModelsHadronic models rely on strange intermediate states to introduce strangeness into proton andneutron calculations. The most common of these are loop and pole contributions in which theproton either fluctuates into a lambda, Λ0, and charged kaon or the exchange boson fluctuates into,14for example, a vector meson with strangeness, such as the φ. These two models are demonstrateddiagrammatically in Fig. 1.4Λ  φ Figure 1.4: Example of phenological hadronic models which introduce strangeness into the proton.Kaon loop (left) and phi meson poles (right) diagrams are shown.Many of the loop models start from an exact SU(3)L × SU(3)R flavor symmetry for u, d ands quarks and from the chiral (massless quark) limit - so called chiral perturbation theory (CHPT)[32]. In this limit, CHPT represents an exact solution of QCD, and has been very success atdescribing physics in the Meson sector where the physical quark masses, and the mass of the pion(∼140 MeV) are well below the 1 GeV scale set by Lambda . The treatment of the nucleon withCHPT is less clear as the mass the the nucleon (roughly the same scale as Λ) becomes a relevantparameter, thus perturbative calculations are more challenging. In addition to dealing with thelarge size of the nucleon, this technique is one which relies on the input of measured quantities,called counter terms, needed to cancel divergences coming from kaon loops, for predictive powereg.[51, 32]. For strange properties of the nucleon, this theory is non-predictive as µs and rs comefrom sums over the counterterm and loop contributions. Calculations beyond CHPT or clevermodeling are needed to obtain predictions that might guide nucleon strangeness measurements.In the kaon loop model, a consistent chiral expansion is abandoned and the proton is typicallytaken to fluctuate into a strange meson and a hyperon state. Most typically this ’intermediatestate’ is modeled as a kaon (K+) containing an s and a Λ hyperon containing an s quark. Thisallows the strange content to spatially separate, resulting in a non-zero strange magnetic moment15and charge radius. A common feature among the various calculations using this method is theprediction of a positive strange charge radius, arising from the fact that the lighter Kaon carryingthe positively charged anti-strange quark is further from center of mass of the system than theheavier hyperon. This model is appealing because it is directly motivated by the pion loop modelused successfully in chiral perturbation calculations for the nucleon. However, for studying thestrange form factors, higher order terms as well as re-scattering effects are import for an accuratepicture. Geiger and Isgur made a quark level calculations, including a complete set of allowedintermediate loops (beyond Λ excitations), and from cancellations between contributions from allintermediate states, arrived at a small but positive µs (in the closure limit, where all intermediatestate energies are equal, rs and ms = 0) [49].In the pole model (vector meson dominance), the strange content of the proton is introducedby allowing the exchange photon or Z boson to fluctuates to a vector meson, typically ω and φ, forthe isoscalar response. One should note the φ is primarily an ss state. This technique involves thefitting of the measured isoscalar form factors with vector meson polesF T=02 (q2) = ΣVm2vbT=0Vm2v − q2; F T=01 (q2) = F T=01 + ΣVq2aT=0Vm2v − q2(1.40)where mv is the vector meson mass [32]. In one calculation performed independently by Megrellet. al. and Hoehler et. al. three poles were required: two to recover observed dipole dependenceand a third to achieve reasonable χ2 values for fits. Jaffe has identified the third pole as that ofthe φ meson [35], giving a negative µs.Other attempts have been made to combine the two approaches described above using dispersionrelation analyses which sum over all intermediate states and assume only analyticity [34]. The fulldispersion relationship for the electric and magnetic radii is given by< r2s >M,E =6pi∫ ∞9m2piIm[GsM,E(t)]t2dt (1.41)(1.42)where ImGsM,E(t) is proportional to all nucleon states carrying quantum number of s¯γµs. For16example the 3pi state can resonate into an ω which mixes with the φ (s¯s) providing strangeness asdiscussed above. K+K− loops also contribute, but so do kaon contributions at all orders includingthe φ(1020) resonance [34]. The result of such calculations including known strange producingresonance measurements indicates a sizeable strange contribution and is provided in Sec. 1.3.3.Additionally, SU(3) extensions of the Skyrme model which treats baryons as solitons from mesonfields have been attempted [32]; however these models are only justified in the large Nc limit ofQCD, and have no explicit quark degrees of freedom. Therefore, their prediction of strange nucleonproperties are somewhat unstable. Constituent quark type approaches such as the Nambu-Jona-Lasinio model have also been used with results shown below. Excited hyperons and strange mesonsare also included in some treatments, and these contributions seem to be numerically significant.1.3.2 Lattice CalculationsLattice Quantum Chromodynamics (LQCD) offers a non-perturbative, first principles approachto calculating strangeness in the proton, by applying QCD on a lattice of spacetime points. How-ever, current limits in computational technique and power keep full calculations in the future.Typically, lattice calculations have used a quenched (static) approximation and are only possibleusing unphysically large quark masses. They have also primarily been performed at low Q2 valuesfor comparison with the existing world data set.The results of many of these calculations are shown in (Figure 1.6). Recently Wang et. al. [36]have determined the u and d quark contributions to the proton magnetic form factor at finite mo-mentum transfer with chiral corrections to quenched lattice ”data”. They use HB(Heavy Baryon)CHPT at next-to-leading order and include disconnected quark loop terms which are calculable onthe lattice in the valance sector with relations established by assuming charge symmetry. Thesevalues are combined with the experimental values of the proton and neutron magnetic form factorsalong with charge symmetry assumptions to deduce values for the strange magnetic form factor atQ2 = 0.23 GeV2 ofGsM = −0.034 ± 0.021. (1.43)Additionally the χQCD collaboration has performed a chiral extrapolation over a broad Q2 rangefor the strange form factors shown in Fig. 1.5 [37]. This is a full QCD lattice simulation which17includes effects from disconnected quark loops. Q2 and chiral extrapolations were performed and-0.04-0.02 0 0.02 0 0.5 1 1.5Gs M (Q2 )Q2 (GeV2)κud = 0.13760κud = 0.13800κud = 0.13825 0.06-0.02 0 0.02 0.04 0.06 0 0.5 1 1.5Gs E (Q2 )Q2 (GeV2)κud = 0.13760κud = 0.13800κud = 0.13825Figure 1.5: Lattice results from [37]. The chiral extrapolated results for GsM (left) and GsE (right)plotted with solid lines. The shaded area represents the error band (both statistical and systematic)from the chiral extrapolation. Shown together are the lattice data with statistical uncertainties formpi= 0.60 (circles), 0.70 (triangles), and 0.84 (squares) GeV respectively.give GsM (0) = -0.017(25)(07), where the first uncertainty is statistical, and the second reflects theuncertainties in Q2 and chiral extrapolations.1.3.3 Results SummaryWhen the results from the various hadronic models, lattice calculations, and other techniquesare compared, a picture which is quite varied in both sign and magnitude appears (Fig. 1.6), yetseems to favor negative values for µs. Experimental data at low Q2, however, if anything, favorthe opposite, namely that µs has a non-negligible positive value.1.4 Axial Form Factors1.4.1 Axial form factor formalismThe axial current contribution to scattering from the nucleon are parameterized in terms ofform factors as well. With the axial charge of u, d and s, and assuming charge symmetry between18!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!! "Figure 1.6: Theoretical predictions for µs ≡ GsM (Q2 = 0) (blue) and r2s (red). (a) Poles [35] (b)Kaon Loops [38] (c) Kaon Loops [39] (d) Kaon Loops [40] (e) SU(3) Skyrme (broken) [41] (f) SU(3)Skyrme (symmetric) [41] (g) SU(3) chiral hyperbag [42] (h) SU(3) chiral color dielectric [43] (i)SU(3) chiral soliton [44] (j) Poles [45] (k) Kaon Loops [46] (l) NJL soliton [47] (m) QCD equalities[48] (n) Loops [49] (o) Loops [50] (p) Dispersion [33] (q) Chiral models [51] (r) Poles [52] (s) SU(3)Skyrme (broken) [53] (t) Lattice (quenched) [54] (u) Lattice [55] (v) Lattice (chiral) [56] (w) Chiralquark [57] (x) Quark soliton [58] (y) Lattice [59] (z) Lattice [36]the proton and neutron, a flavor decomposition can be written as [75]GZ,pA =∑j=quarkscjAGj,pA = −(GuA −GdA) +GsA ,GZ,nA =∑j=quarkscjAGj,nA = (GuA −GdA) +GsA . (1.44)Here, the zero momentum transfer axial flavor form factor GjA of quark j is simply the contributionof quark j to the net spin of the proton from Eq. 1.10 [75]GjA(0) = ∆qj . (1.45)19The form factors in Eq. 1.44 can also be written to isolate the dominant isovector form factorGT=1A , from the isoscalar SU(3) octet form factor G(8)A , and GsA as [75]GZA = τ3QT=1A GT=1A +QT=0A G(8)A +Q(0)A GsA , (1.46)with τ3 = +1(−1) for the proton(neutron), and with GT=1A , G(8)A ([60]) defined asGT=1A ≡ 2G(3)A = GuA −GdA , (1.47)G(8)A =12√3(GuA +GdA − 2GsA) (1.48)with corresponding isovector, isoscalar and the flavor singlet chargesQT=1A =12(cuA − cdA) , (1.49)QT=0A =√3(cuA + cdA) , (1.50)Q(0)A = cuA + cdA + csA . (1.51)With QT=1A = −1 , QT=0A = 0 , QsA = 1, a tree level expressionGZ,treeA = −τ3GT=1A +GsA . (1.52)gives a very good approximation of the axial form factor measured in neutrino-nucleon scatteringexperiments. However, the electroweak radiative corrections to the axial current could play animportant role in electron scattering and for this purpose the form factor GeA, instead of GZA,represents the radiatively corrected axial form factor measured explicitly in G0.The Q2 behavior of GT=1A is typically parameterized with a dipole form asGT=1A (Q2) =GT=1A (0)(1 + Q2Λ2A)2, (1.53)A summary of the experimental determinations of these parameters is given below.20As mentioned in Sec. 1.1.3 and in Eq. 1.45, at zero momentum transfer,GsA(0) = ∆s ∼ −0.09 (1.54)The Q2 dependance of GsA is often assumed to be the same dipole form as GT=1A .1.4.2 Ge(T=1)A from deuterium PVESUnder the static approximation, the quasi-elastic asymmetry from a nucleus isAd =Apσp +Anσnσp + σn, (1.55)whereAp (An) and σp (σn) are the parity violating asymmetry and cross section for elastic scatteringfrom proton (neutron). This provides an additional measurement which is sensitive to Ge(T=1)A atbackward proton angles [60]. Therefore, this measurement allows for determination of electroweakradiative correction to the axial form factor and is important for properly interpreting the result ofbackward angle experiments. Obviously one has to apply nuclear corrections to Eq. 1.55. For thepropose of this analysis a complete nuclear model of deuterium including 2-body effects has beenused [61], and compared with partial wave and phenomenological models. A discussion of this ispresented in Chapter 4.1.5 Radiative CorrectionsEq. 1.38 contains the lowest order contributions from perturbation theory. The inclusion ofhigher order (“radiative”) corrections requires redefinition of the theory to make such effects finiteand calculable. One such “renormalization scheme” is MS (or modified minimum subtraction) [63],in which the correction depends on a renormalization scale µ (typically set toMz = 91.19 GeV). Allradiative corrections to APV described below are evaluated using MS renomalization. A detaileddiscussion of these electroweak radiative corrections for parity violating electron scattering areavailable in [62], with summary of the main points following below.Equation 1.32 shows the electroweak interaction reduced to a contact coupling. To maintain this21simple picture, higher order corrections modify the associated coupling constant at the interactionvertex, in effect, modifying the weak vector and axial charges. The weak from factors in Eq. 1.38use six weak charges (three vector, conventionally, “W”, and three axial vector, “A”), defined inTable 1.56 in terms of the associate quark charges from Eq. 1.21. The corrections to the tree levelvalues are made asTree level =⇒ Rad. Corr. IncludedQpW = 2cuV + cdV = 1− 4 sin2 θW =⇒ QpW = (1 +RpV )(1− 4 sin2 θW ) ,QnW = 2cdV + cuV = −1 =⇒ QnW = −(1 +RnV ) ,Q(0)W = cuV + cdV + csV = −1 =⇒ Q(0)W = −(1 +R(0)V ) ,QT=1A =12(cuA − cdA) = −1 =⇒ QT=1A = −(1 +RT=1A ) ,QT=0A =√3(cuA + cdA) = 0 =⇒ QT=0A =√3RT=0A ,Q(0)A = cuA + cdA + csA = 1 =⇒ Q(0)A = 1 +R(0)A . (1.56)The “one-quark” corrections to the scattering, in which only a single quark is involved [60, 64]typically dominate these terms. Two representative higher order “one-quark” diagrams are shownin Fig. 1.7. Fig. 1.7(a), showing the γ−Z0 mixing diagram, in which a Z0 and γ couple to a qq¯ loop,is referred to as the vacuum polarization correction and is analogous to e+e− loop effects QED.Fig. 1.7(b) shows a γ−Z0 box diagram and is one classification of 2-boson effects that include γ−γand Z0−Z0 effects as well.(a) γ−Z0 mixing diagram (b) γ−Z0 box diagramFigure 1.7: Two representative “one-quark” radiative correction diagrams.The R parameters above are common in the parity violation literature and can be written in22terms of the more general radiative correction parameters defined in the Particle Data Book (PDG)[22]. The PDG parameters are introduced into the formalism for PVES as a set of constants, C1u,C1d, C2u and C2d, to describe the coupling of the electron current to the quark current. Specifically,C1u and C1d (C2u and C2d) are the parity violating coupling of A(e)×V (q) (V (e)×A(q)) with “e”and “q” representing the electron and quark, respectively. The C parameters are, in turn, writtenin the radiatively corrected form as [22]C1u = ρ1(−12+43κ1sˆ2Z) + λ1u ,C1d = ρ1(12− 23κ1sˆ2Z) + λ1d ,C2u = ρ2(−12 + 2κ2sˆ2Z) + λ2u ,C2d = ρ2(12− 2κ2sˆ2Z) + λ2d , (1.57)in which all quantities are evaluated in MS, and sˆ2Z = 0.23120(15) is sin2 θW with the renormal-ization scale at MZ . At the tree level, ρ1 = ρ2 = κ1 = κ2 = 1 and λ1u = λ1d = λ2u = λ2d = 0.For reference, the connections between these set of C parameters and the cV and cA parameters inEq. 1.56 arecu,c,tV = −2C1u , cd,s,bV = −2C1d ,cu,c,tA =2C2u1− 4 sin2 θW, cd,s,bA =2C2d1− 4 sin2 θW. (1.58)In Table 1.2, the ρ,κ,λ parameters from [22], as well as associated values of the C and c aregiven. The standard model (SM) values of the weak charges of the nucleon, and the correspondingR factors, are computed by substituting for the tree level c parameters their SM values. Thetree level weak charges, SM weak charges, and their corresponding correction R factors are shownin Table 1.3. The uncertainties associated with these one-quark corrections are negligibly smallcompared to the “many-quark” correction to the axial charges discussed below.The radiative correction to the weak couplings, in addition to “one-quark” corrections shownabove, also contains heavier quark contributions, and “many-quark” electroweak radiative correc-23PDG ρ,κ,λ parameters C and c parametersParameter Tree SMsˆ2Z 0.230ρ1 1 0.99ρ2 1 1.0004κ1 1 1.003κ2 1 1.03λ1u 0 −1.80 × 10−5λ1d 0 3.6 × 10−5λ2u 0 −0.012λ2d 0 0.0026Parameter Tree SMC1u −0.191733 −0.188607C1d 0.345867 0.341205C2u −0.0376 −0.0359506C2d 0.0376 0.0264506cu,c,tV 0.383467 0.377214cd,s,bV −0.691733 −0.682411cu,c,tA −1 −0.955625cd,s,bA 1 0.70310Table 1.2: The tree level and radiatively corrected (“one-quark”) electroweak coupling parametersfor electron-quark interactions. The table on the left contains the values from [22]. The right tablecontains the C and c parameters calculated from Eq. 1.57 and Eq. 1.58.Quantity Tree SM R Factor ValueQpW 0.0752 0.0711 RpV −0.054568QnW −1 −0.99 RnV −0.011679Q(0)W −1 −0.99 R(0)V −0.011789QT=1A −1 −0.82 RT=1A −0.173QT=0A 0 −0.44 RT=0A −0.253Q(0)A 1 0.45 R(0)A −0.550Table 1.3: The tree level (SM) and (“one-quark”) radiatively corrected weak charges, and theradiative correction factors, defined in Eq. 1.56.tions. The complete radiative values then depend on the sum of all these contributions asR = Rheavy +Rone−quark +Rmany−quark . (1.59)The modification of the hadronic NC coupling due to the heavy quark (c, b, t) contributions [29] issmall and Rheavy is therefore neglected for the purpose of the G0 analysis.24The “many-quark” or anapole correction to the parity violating asymmetry involves an ax-ial coupling of the photon to the nucleon, which leads to the so-called anapole moment of thenucleon [32]. This correction is a many body effect caused by the quarks inside the nucleon inter-acting via a weak boson exchange and modifying the nucleon axial coupling.Zhu et al. have calculated the anapole correction to the axial form factor [64]. They completecalculations of the “many-quark” diagrams in HBCHPT, to the order of p2Λ2χ, resulting in two terms,RT=1A (“many-quark”) and RT=0A (“many-quark”). They use on-shell renormalization (OSR) schemewhich is converted to MS via a simple ratio [64]RM¯SROSR=1− 4s2W1− 4sˆ2Z= 1.45 , (1.60)in which sˆ2Z = 0.23120(15) is sin2 θW in MS, and s2W = 0.2228(4) is that in the OSR [22]. Thebackward angle SAMPLE ([65]) and G0 measurements can be used together with the neutrinomeasurements (discussed in Section 1.6.2) to effectively determine RT=1A and check the predictionsof this theory (the isoscalar contribution is significantly smaller [64, 66, 25]).The “many-quark” corrections are combined with the corresponding “one-quark” correctionsfrom Table 1.3 in Table 1.5. With no evaluation of R(0)A (many-quark) available, the “one-quark”value for R(0)A (small in Zhu’s HBCPT calculation) is used alone with 100% fractional uncertainty.RT=1A RT=0A R(0)Aone-quark −0.173 −0.253 −0.550many-quark −0.087 ± 0.35 0.015 ± 0.20 N/Atotal −0.26(0.35) −0.24(0.20) −0.55(0.55)Table 1.4: The “one-quark” [22] and “many-quark” [64] corrections to the axial charges, both inMS, as well as the total corrections.The asymmetry expression in Eq. 1.38 can then be expanded with the radiatively correctedweak charges in Eq. 1.56 to give the full expression of parity violating asymmetry for the proton25becomesAPV = − GFQ24√2piα1[3(GpE)2 + τ(GpM )2]× {(3(GpE)2 + τ(GpM )2)(1− 4 sin2 θW )(1 +RpV )− (3GpEGnE + τGpMGnM )(1 +RnV )− 3GpE(GsE + ηGsM )(1 +R(0)V )− 3′(1− 4sin2θW )GpMGeA} , (1.61)in whichGeA = −(1 +RT=1A )GT=1A +√3RT=0A G(8)A + (1 +R(0)A )GsA . (1.62)andτ =Q24M2p, 3 =(1 + 2(1 + τ)tan2θ2)−1, 3′ =√τ(1 + τ)(1− 32) , η = τGpM3GpE.This full expression is used in the final form factor extractions. Additionally, 2-boson radiativecorrections for PVES at the experimental Q2 have also been provided [67, 139] and ordinaryradiative corrections are calculated per Tsai as described in the analysis chapter below.1.6 Previous Results and Experiments1.6.1 Form factors Measurements at Low Q2Determining the nucleon EM form factors can be accomplished experimentally using eitherunpolarized cross section measurement and Rosenbluth separation [68] or through polarized degreesof freedom in elastic scattering [69] which are sensitive to form factor ratios. At higher at four-momentum transfers greater than 1 (GeV/c)2, the two methods give inconsistent results. Thecause for this discrepancy (believed to be related to radiative effects) is under investigation [77].The measurements from the polarization measurements are typically more precise and provide themore trusted data at four-momentum transfers greater than 1 (GeV/c)2. However, in the Q2 rangeof interest to G0 the picture is consistent.26Fitting the large amount of existing experimental data is an industry of its own. Using a basicdipole or a modified Galster parameterization [70] form to fit GpE , GpM and GnM is no longer avalid method in light of data now available on the form factors. For example, the dipole fit of GnMdisagrees with the data by ∼ 6% at Q2 = 1 (GeV/c)2 (see Fig. 1.8(a) where the ratios of the datato the dipole fit are shown). Several new parameterization have been developed to better describethe data over the entire measured Q2 range. Kelly provides a simple parameterization, consistentwith 1/Q4 scaling for GpE , GpM and GnM and a Galster fit for GnE [73]. These fits use data sets whichemphasize recoil or target polarization measurements. Friedrich and Walcher have also treated allfour form factors [74] with a seperate phenomenological model using a data set similar to that ofKelly. Additionally, a parameterization of GpE and GpM , based on available cross section data alone,was made by Arrington in [71], and later extended to include polarized data and two photon effects[72].A comparison of these three parameterizations for all four form factors is shown presented inFig. 1.8(a) over the low four-momentum transfer range of interest to G0 [75]. The data points inthe plots are Kelly’s choice of data sets from 2004 [73] and despite the differences in each model,the three fits are reasonably consistent. Kelly’s parameterization is the simplest and lacks many ofthe underlying physics assumptions from the other models and is therefore adopted in the analysisdescribed in the chapters below, both for calculation of ANV S , other asymmetry coefficients forhydrogen, and for a use in a model of deuterium. In Fig. 1.8(b), the statistical error bands calculatedfrom the Kelly fits are displayed, together with the fits from the other two models.Additional polarization measurements from the BLAST collaboration (Fig. 1.9) [77] and forth-coming results from the E08-007 experiment at JLab will add detail to this picture. New fits areunder investigation to accommodate the preliminary data reported from these experiments. Inany case, uncertainties in the existing data and models make relatively small contributions in theanalysis of PVES experiments. The details of the application of ordinary EM form factors to theextraction of the strange form factors is explained in Chapter 4.272(GeV/c)2Q0.2 0.4 0.6 0.8 1D/Gp EG0.850.90.9511.051.11.151.2 DATAKellyArringtonFriedrich&Walcher2(GeV/c)2Q0.2 0.4 0.6 0.8 1D/G pµ/p MG0.960.9811.021.041.061.081.12(GeV/c)2Q0.2 0.4 0.6 0.8 1n EG00.010.020.030.040.050.060.070.080.090.12(GeV/c)2Q0.2 0.4 0.6 0.8 1D/G nµ/n MG0.940.960.9811.021.041.06(a) Fits of EM Form Factors with Data2(GeV/c)2Q0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1D/Gp EG0.940.950.960.970.980.991 KellyArringtonFriedrich&WalcherKelly error band2(GeV/c)2Q0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1D/G pµ/p MG0.970.980.9911.011.021.031.041.052(GeV/c)2Q0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1n EG0.0350.040.0450.050.0552(GeV/c)2Q0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1D/G nµ/n MG0.960.9811.021.041.061.08(b) Kelly fit uncertainties.Figure 1.8: The form factor fits for GpE , GpM , GnE and GnM with a range of Q2 from 0.1 to1.1 (GeV/c)2. GpE , GpM and GnM normalized by a corresponding dipole fits. The experimentaldata in [73] are displayed in (a). The curves are: [blue solid = Kelly [73], pink dot-dashed = Ar-rington (2004) [71], and black dashed = Friedrich-Walcher [74]]. The Arrington parameterizationis for GpE and GpM only. The lower figure (b) contains shows the ±1σ error bands computed fromthe Kelly fits. [75].28   Figure 1.9: [77] World data on GnE from double-polarization experiments. The data correspondto neutron recoil polarization experiments with unpolarized 2H target (open triangles) and exper-iments with polarized 2H (open circles; solid red dots - BLAST) and 3He targets (open squares).The data are shown with statistical and systematic uncertainty contributions. The BLAST fit(blue solid line) is a parameterization of all data displayed based on the sum of two dipoles and isshown with a one-sigma error band.1.6.2 Neutrino nucleon scatteringAs indicated by Eq. 1.61, the contribution of the GeA term to the parity violating asymmetryis suppressed by a factor of −1 + 4 sin2 θW ∼ −0.07, the weak charge of the electron. Because thisfactor is small, the uncertainty of the axial form factor also contributes proportionately less to thedetermination of the strange form factors. Asymmetry measurements for deuterium at backwardangles are sensitive to GeA; determining any effects from a nuclear anapole moment or highercorrections in general requires knowledge of the form factors observed in neutrino measurements.The tree level expression of the proton axial form factor given in Sec. 1.4 is a good approximationof the axial form factor as measured with neutrino scattering. The isovector form factor GT=1A (Q2)can be measured via charged current quasi-elastic scattering of νµ(ν¯µ) + n(p) → µ− + p(n), andthe resulting Q2 dependence of GT=1A is commonly parameterized in a dipole form asGT=1A (Q2) =gA(1 +Q2/M2A)2 , (1.63)29where gA = 1.2695 ± 0.0029 is well-measured in neutron β decay, and MA is the “axial mass” ofthe nucleon.Since the early 1970s, data collection from deuterium bubble chamber measurements at BNL,Fermilab and Cern together with pion electro-production have helped to precisely constrain thevalue of MA (Table 1.5) [78]. With this data and updated EM form factors of the nucleon, aTable 1.5: MA(GeV/c2) values published by µν-deuterium and ν¯µH experiments with ga = −1.267and M2v = .842.Experiment QE events Q2 (GeV/c2) E¯ν GeV Vector FF MA (pub.)Mann 166 .05-1.6 0.7 Bartl, Gen = 0 0.95 ± .12Barish 500 .05-1.6 0.7 Ollsn, Gen = 0 0.95 ± .09Miller 1737 .05-2.5 0.7 Ollsn, Gen = 0 1.00 ± .05Baker 1138 .06-3.0 1.6 Ollsn, Gen = 0 1.07 ± .06Kitagaki 362 .11-3.0 20 Ollsn, Gen = 0 1.05+.12−.16Kitagaki 2544 .10-3.0 1.6 Ollsn, Gen = 0 1.070+.040−0.045Allasia 552 .1-3.75 20 dipole, Gen = 0 1.080 ± .08Av. νµd 5780 above BBBA2007 1.051 ± .026ν¯µH → µ+n 13 0-1.0 1.1 dipole, Gen = 0 0.9± 0.35ν¯µH → µ+n 13 0-1.0 1.1 BBBA2007 σQErecent global fit of neutrino data was presented in [78], using a parameterization with additionalQ2 dependence while obeying quark-hadron duality constraints at high-Q2. This analysis results inMA = 1.014±0.014 GeV and serves as the basis of investigations of anapole corrections in electronscattering.1.6.3 Previous Parity Violating Electron Scattering ExperimentsSAMPLEThe SAMPLE experiment, conducted at the MIT-BATES laboratory beginning in 1998, ledthe way in experiments measuring the contributions of strange quarks to the nucleons magneticmoment. One e-p and two e-d backward scattering were conducted and the combined analysis(including radiative corrections and coherent neutral pion production) of this data to extract GsMas well as GeA is described in this chapter.The experimental setup for SAMPLE is shown in Fig. 1.10. The detector consisted of a set of30air Cˇerenkov modules designed to detect electrons scattered from a hydrogen or deuterium targetat backward angle (θe ∼ 145◦). An array of ten ellipsoidal mirrors focused the Cˇerenkov lightcones onto an array of ten 8” PMTs. The beam was pulsed at 600 Hz, with the duration of eachpulse ∼25 µs, and a helicity pseudo-randomly selected. Anode currents from the phototubes wereintegrated over 60 µs and digitized by ADCs, which were then read out by the data acquisitionsystem.TargetScattering ChamberLead ShieldingPMTMirrorFigure 1.10: The schematic setup of the SAMPLE experiment. The Cˇerenkov photons frombackward-scattered electrons were reflected by the mirrors and focused onto phototubes. Figuretaken from [79].Data were taken with a beam energy of ∼200 MeV on both liquid hydrogen and deuteriumtargets; there was an additional deuterium run at 125 MeV. Detecting backward-scattered electrons,these measurements were sensitive to the nucleon strange magnetic and axial form factors, withthe contribution from GsE being kinematically suppressed, and deuterium measurement largely31reflecting GeA alone. The measured asymmetries with hydrogen and deuterium targets were [80]Ap(Q2 = 0.1GeV 2) = −5.61 ± 0.67(stat) ± 0.88(sys)= −5.56 + 3.37GsM + 1.54Ge(T=1)A ppm , (1.64)Ad(Q2 = 0.1GeV 2) = −7.77 ± 0.73(stat) ± 0.72(sys)= −7.06 + 0.72GsM + 1.66Ge(T=1)A ppm , (1.65)Ad(Q2 = 0.038GeV 2) = −3.51 ± 0.57(stat) ± 0.58(sys)= −2.14 + 0.27GsM + 0.76Ge(T=1)A ppm . (1.66)In these results, the systematic uncertainty is dominated by backgrounds in the data. The secondequality in each expression represents the theoretical predication obtained in GEANT simulation,and Ge(T=1)A is the isovector component of the axial form factor discussed above. Fig. 1.11 showsthe two results for 200 MeV plotted in the space of GsM vs. Ge(T=1)A . The dark pink ellipse isthe 1σ error ellipse obtained from combining the hydrogen and deuterium results. The theoreticalprediction of Ge(T=1)A = −0.83 ± 0.26 (the vertical band) by Zhu et al. [64] is also presented forcomparison. The light yellow ellipse in Fig. 1.11 is the 1σ contour obtained by combining thehydrogen result with the theoretical Ge(T=1)A . The extracted values of GsM and Ge(T=1)A from thesedata alone was found to beGsM (Q2 = 0.1) = 0.23 ± 0.36(stat) ± 0.40(sys) (1.67)Ge(T=1)A (Q2 = 0.1) = −0.53 ± 0.57(stat) ± 0.50(sys). (1.68)The second SAMPLE deuterium measurement was performed at Q2 = 0.038 (GeV/c)2 with abeam energy of 125 MeV. The measured value of Ge(T=1)A was extracted with an assigned value forGsM of 0.29 ± 0.26 and found to be:Ge(T=1)A (Q2 = 0.038) = −1.91 ± 0.75(stat) ± .76(sys). (1.69)A comparison of the sample deuterium result compared with expectation from theory by Zhuare shown in Figure 1.1232Figure 1.11: The SAMPLE hydrogen (blue diagonal band) and deuterium (red band in crossedhatch) results plotted in the GsM vs. Ge(T=1)A plane. The inner and outer error bands are thestatistical and total uncertainties respectively. The dark pink ellipse is the 69% confidence (1 σ)error ellipse from combining the two measurements. The light green vertical band is the theoreticalcalculation of Ge(T=1)A = −0.83 ± 0.26 from [64]. The light yellow ellipse is the 1σ error ellipse bycombining the SAMPLE hydrogen results with this theoretical prediction. Figure taken from [80].1.6.4 PVA4The PVA4 experiment is being carried out at the MAMI accelerator facility in Mainz, Germany.They have measured elastically scattering electrons from a liquid hydrogen target for forward anglesat Q2 = 0.108 and 0.230 GeV2 with a corresponding backward angle measurement at the high Q2value.The electron beam helicity is flipped at ∼25 Hz. A schematic of the forward angle setupis shown in Fig. 1.13. Scattered electrons were detected by an array of PbF2 Cˇerenkov total-absorptive calorimeters, which covered elastically scattered electrons between 30◦ to 40◦ in forwardmode and 140◦ to 150◦ in backward mode. For backward angle running, 72 plastic scintillatorswere placed in front of the PbF2 crystals. Used in coincidence with the calorimeter, they enable theseparation of charged from neutral particles. In addition, eight auxiliary water Cˇerenkov luminositydetectors were placed at very small angle.33         Figure 1.12: Comparison of the two SAMPLE deuterium measurements (solid circles) to expecta-tion from theory (open circles) using axial radiative corrections as computed by Zhu. The theoryalso assumes a value of GsM of 0.15 nuclear magnetons. The grey bands represent a change in GsMof 0.6 n.m.Figure 1.13: The setup of the PVA4 forward angle experiment. Forward-scattered electrons arwdetected PbF2 Cˇerenkov detectors. Cˇerenkov luminosity detectors placed at very small angle arealso shown. Figure taken from [81].34The Cˇerenkov photons in the PbF2 crystals resulting from scattered electrons are collected byphototubes. In forward mode, inelastic electrons and photons from pi0 decays are also detectedand the separation of the elastic signals and the inelastic background is made based on theirdiffering energy loss in the PbF2 crystals. The electronics of this experiment work like a veryfast ADC: the pulses from the phototubes are integrated over ∼20ns, digitized by a fast digitizerwith a threshold trigger, and stored in a first-in-first-out (FIFO) pipeline chip. By this means, theindividual particles are counted, and histograms of the deposited energy of these particles are readout by the DAQ. A typical energy spectrum for the particles striking the crystals in forward modeis plotted in Fig. 1.14.100 150 200 2500200400600800100012001400160018002x10Elastic PeakElastic CutElastic CutADC-Channel 32Counts∆pi00 50Figure 1.14: A typical energy spectrum of detected particles in PVA4. The red histogram is theraw spectrum and the smooth black histogram has been corrected for the non-uniform energy binwidth of the ADC. The energy losses corresponding to ∆ excitation and pi0 production, as well asthe cuts on the elastic electrons are also indicated in the plot. Figure taken from [82].After careful reanalysis of the electron polarization measurements and using an up-to-dateparametrization of the electromagnetic form factors, the two forward angle measurements of Q2 =0.230 (PVA4-I) and 0.108 GeV/c2 (PVA4-II), respectively result in [82, 83]Ap(Q2 = 0.230) = −5.44 ± 0.54(stat) ± 0.26(sys) ppm , (1.70)(GsE + 0.224GsM )(Q2 = 0.230) = 0.020 ± 0.029 ± 0.016 , (1.71)35andAp(Q2 = 0.108) = −1.36 ± 0.29(stat) ± 0.13(sys) ppm , (1.72)(GsE + 0.106GsM )(Q2 = 0.108) = 0.071 ± 0.036 . (1.73)The uncertainty for the Q2 = 0.108 GeV2 linear combination of GsE and GsM combines the statis-tical, systematic, and the nucleon form factor uncertainties.For the backward measurement [84]:Ap(Q2 = 0.22) = −17.23 ± 0.82(stat) ± 0.89(sys) ppm , (1.74)(GsM + 0.26GsE)(Q2 = 0.22) = −0.12 ± 0.11 ± 0.11 . (1.75)Using,A0 = −15.87 ± 1.22 × 10−6 (1.76)where A0 is the no vector strange asymmetry and a value of GeA taken from Zhu et al., the twoQ2=0.23 GeV2 PVA4 measurements, taken alone, giveGsM = −0.14± 0.11 ± 0.11 (1.77)GsE = 0.050 ± 0.038 ± 0.019 (1.78)This results is shown graphically in Figure 1.15.Future PVA4 backward angle measurements at Q2 = 0.63 GeV2 are expected along with a0.23 GeV2 backward angle deuterium result currently under analysis (see Sec. 4.4).1.6.5 HAPPExHAPPEx is a parity violating electron scattering program in Hall A at Jefferson Lab. Forward-scattered electrons from hydrogen or 4He targets are focused by two high resolution spectrometersonto total-absorption detectors situated in heavily-shielded detector huts, creating a clean sepa-ration between elastically scattered electrons and inelastic backgrounds. The spectrometers are36Figure 1.15: From [84] at 0.22 GeV2. The linear combination of GsE+ηGsM from A4 backangle (solidband) together with the A4 forward angle measurement (hatched band), where η(Q2) =τGγM'GγE. Thebands represent the possible values of GsE + ηGsM within the one-σ uncertainty with statistical andsystematic uncertainties added in quadrature. The ellipses show the 68% and 95% C.L. constraintsin the GsE −GsM plane.Theoretical prediction shown are: Diamond, A. Silva et al. [58]; Triangle,H. Weigel et al. [47]; Square, V. Lyubovitsij et al. [57]; Dashed line, P. Wang [36]; Circle R. Bijker[85].arranged to create an approximately left-right symmetric acceptance. Similar to SAMPLE, thephototube signals from the Cˇerenkov photons are integrated for each helicity state (1/30 s). Theexperimental setup is shown in Figure 1.16.There have been four HAPPEx measurements completed. The first (HAPPEx-1) was performedin 1998 with a liquid hydrogen target at Q2 ∼ 0.477(GeV/c)2 and θlab = 12.3◦ [86] resulting inAp(Q2 = 0.477) = −15.05 ± 0.98(stat) ± 0.56(sys) ppm , (1.79)which leads to(GsE + 0.39GsM )(Q2 = 0.477) = 0.014 ± 0.020 ± 0.010 , (1.80)with the first uncertainty being experimental (statistical plus systemtic), and the second uncertaintyarising from the uncertainties of the nucleon EM form factors.37Figure 1.16: The setup of the HAPPEx experiment. The forward-scattered electrons are detectedby the high-resolution spectrometers. Figure taken from [86].The next two HAPPEx measurements were performed after the addition of septum magnets toaccept very-forward angle electrons, and the introduction of radiation-hard focal plane detectorswhich could survive the increased scattered electron rate. These measurements were performed onhydrogen (HAPPEx-H-II) [87] and 4He (HAPPEx-He) [88] targets at Q2 ∼ 0.1 (GeV/c)2 (θlab ∼6◦). The results at Q2 ∼ 0.1 (GeV/c)2 [89] were found to beAp(Q2 = 0.109) = −1.58 ± 0.12(stat) ± 0.04(sys) ppm , (1.81)(GsE + 0.109GsM )(Q2 = 0.099) = 0.007 ± 0.011(stat) ± 0.006(sys) ± 0.012(model) , (1.82)andAHe(Q2 = 0.077) = 6.40 ± 0.23(stat) ± 0.12(sys) ppm , (1.83)GsE(Q2 = 0.077) = 0.002 ± 0.014(stat) ± 0.007(sys) . (1.84)38Figure 1.17 displays the combined result for all HAPPEx measurements, taken with Q2 between0.077 and 0.109 GeV2. The requisite small extrapolation to a common Q2 = 0.1 GeV2 was madeassuming that GsE is proportional to Q2 and that GsM is constant.      Figure 1.17: The combined result for all HAPPEx measurements, taken with Q2 between 0.077and 0.109 GeV2The valuesGsE = −0.005 ± 0.019 (1.85)GsM = 0.18± 0.27 (1.86)are obtained. The results are found to be insensitive to variations in GZA.Future HAPPEx forward angle measurements at Q2 = 0.63 (GeV/c)2 are planned (see Sec. 4.4).1.6.6 G0 Forward AngleThe G0 forward angle experiment measured PVES from a cryogenic hydrogen target in HallC at Jefferson Lab using a 40 µA polarized electron beam with an energy of ∼3 GeV [90]. Thebeam was generated with a strained GaAs polarized source with 32 ns pulse timing (rather thanthe standard 2 ns) to allow for time-of-flight (t.o.f.) measurements. The polarized electrons were39scattered from a 20 cm liquid hydrogen target. The recoiling elastic protons were detected using atoroidal spectrometer designed to allow simultaneous measurement of a wide range of momentumtransfer, 0.12 ≤ Q2 ≤ 1.0 GeV2. The spectrometer includes an eight-coil superconducting magnetand eight sets of scintillator detectors (Figure 1.18). Figure 1.19 shows the backgrounds whichFigure 1.18: Schematic of the G0 forward angle detector setup.extend on both sides of the elastic proton peak at a t.o.f. of 20 ns. This background is dominatedby quasi-elastic protons from the aluminum target windows and inelastic protons from both thehydrogen and the aluminum. The measured asymmetry has two components taken asAmeas = (1− f)Ael + f Aback (1.87)where Ael is the raw elastic asymmetry and f is the background fraction. The yield was mod-eled with a Gaussian elastic peak and a polynomial background, while the asymmetry model wascomprised of a quadratic background and a constant for the elastic.The results of the experiment are shown as a function of momentum transfer in Fig. 1.20.The statistical uncertainties include those from the measured and the background asymmetries.The systematic uncertainties are dominated by those from the background correction. The global40Figure 1.19: Example of the raw asymmetry, Ameas, (data points) and yield (histogram) as afunction of t.o.f. for detector 8.and point-to-point contributions to the systematic uncertainty are included. The global terms aredetermined from the extent to which a change in, e.g., the background asymmetry functional form,consistently changes the asymmetries in all the affected detectors (shown as grey bars in figure1.20).The quantityGsE + ηGsM =4√2piαGFQ2D3GgammaE(Aphys −ANV S), (1.88)where η(Q2) = τGpM/3GpE , and D = 3(GγE)2 + τ(GγM )2, is determined from the difference betweenthe experimental asymmetry and the no-vector-strange asymmetry, ANV S . ANV S is calculatedfrom Eq. 1.38 with GsE = GsM = 0 for all values of Q2, and using the Kelly electromagnetic formfactors. The HAPPEx measurements made at nearly the same kinematic points are also shown.The sensitivity of the result to electromagnetic form factors is shown separately by the lines on theplot.The GsE + ηGsM data shown in Fig. 1.20 have a systematic Q2 dependence, the details of whichare explored with the G0 measurements at backward angles, and MAMI (Mainz).41Figure 1.20: The combination GsE + ηGsM for the G0 measurement. The gray bands indicatesystematic uncertainties (global in dark grey and model in light grey) to be added in quadrature(see Appendix A). The results from the HappeX collaboration are also provided.1.6.7 Global analysis at Q2 = 0.1 GeV2A global analysis combining the many asymmetries at low Q2 can be performed to provide themost precise values for GsE and GsM . This has been done most recently by Liu et. al. [91] wherethe measured physics asymmetries, Aiphys are fit to the formAiphys = ANV S + ηEGsE + ηMGsM (1.89)where ηE,M are the appropriate kinematic terms, and ANV S the “no vector strange” term takenfrom the Kelly form factors as above. This analysis includes data sets (described above) fromSAMPLE-H, SAMPLE-D, HAPPEx-H, HAPPEx-He, PVA4-H, and Q2 data from G0 forward angleup to 0.164 GeV2, each of which appear as band in Fig. 1.6.7. This technique obtainsGsE = −0.008 ± 0.016 (1.90)GsM = 0.29± 0.21 (1.91)42with minimum χ2 = 9.90 for 8 degrees of freedom (dof). This result is represented as 1 and 2 σconfidence ellipses in Fig. 1.6.7.sMG-1 0 1 2s EG-0.2-0.10.00.10.22=0.1 (GeV/c)2QSAMPLE-HSAMPLE-DHAPPEx-H-aHAPPEx-H-bHAPPEx-He-aHAPPEx-He-bPVA4-H-b0G(0,0)Figure 1.21: The world data constraints on (GsE , GsM ) at Q2 = 0.1 (GeV/c)2 using the form factorsof Kelly. SAMPLE-H (Eq. 1.64) (solid red), SAMPLE-D (Eq. 1.65) (dashed red), HAPPEx-H-a (Eq. 1.79) (dashed blue), HAPPEx-H-b (Eq. 1.81) (solid blue), HAPPEx-He-a (Eq. 1.83)(dashed pink), HAPPEx-He-b (Eq. 1.83) (solid pink), PVA4-H-b (Eq. 1.72) (solid green), and thelowest three Q2 bins in G0 forward angle (solid black). The yellow and gray blue (dark) ellipsesrepresent 68% and 95% confidence contours around the point of maximum likelihood. The blackcross represents GsE=GsM=0.This analysis disfavors the substantially negative values of GsM predicted by some models andis consistent with GsE = 0 at Q2= 0.1(GeV/c)2 . Significant strange quark contributions to the43magnetic form factor are not ruled out, and point to the need for additional constraints. G0backward-angle results together with the forward-angle results will provide the first complete de-termination of the strange form factors at values greater than Q2= 0.1(GeV/c)2 . This will furtherconstrain the global analysis result and help to clarify the picture of strange quark contributions tonucleon. Additionally, the first indications of the effects of an anapole moment in the nucleon willbe accessible through the measurement of GeA. The rest of this document will present the analysisand result of the G0 experiments determination of these form factors at Q2= 0.23, 0.62 GeV2.44Chapter 2G0 Backward Angle ExperimentThe G0 backward angle experiment was conducted in Hall C at Jefferson Lab (Jlab) in NewportNews, Virginia. The experiment measured parity violating asymmetries from electrons scatteredat ∼ 110o from both hydrogen and deuterium cryogenic targets at two different beam energies, 362MeV and 687 MeV (359 MeV and 684 MeV at target center). These four measurements, combinedwith the previous results from the G0 forward angle program, allow for the determination ofGsE , GsM , and Ge(T=1)A at momentum transfers (Q2) values of 0.22 and 0.63 GeV 2. This chapterdescribes the experimental details of the apparatus, with details from [103, 75, 76], used to makethese measurements emphasizing the changes between forward and backward angle running. Thedescription starts with the generation of polarized electrons and ends with the recording of rawelectron asymmetries in the G0 electronics.2.1 Polarized BeamOf critical importance to the measurement of small helicity asymmetries is the availability of awell-controlled source of polarized electrons. For the G0 experiment, the Continuous Electron BeamAccelerator Facility (CEBAF) at Jlab served this purpose. The beam system at Jefferson Lab canbe broken down into three main segments: the polarized source where the electrons originate, thetransport system, and the beam delivered to the three experimental halls, as shown in Figure 2.1.This section provides a brief discussion of the techniques used in these three segments to generatethe polarized beam along with a characterization the the most important systematic uncertainties.45HeliumRefrigeratorNorth Linac(600 MeV)South Linac(600 MeV)RecombinerRecombinerPolarizedSourceSpinRotators5 MevPre-acceleration 45 MeVInjectorSpreaderExtraction ElementsBeam SwitchyardEnd StationsSpreader180o BendingElementsRecirculationArcsABCARC 2ARC 4ARC 6ARC 8ARC 1ARC 3ARC 5ARC 7ARC 9Figure 2.1: Schematic of the CEBAF beam delivery system.2.1.1 CEBAF Polarized SourceThe CEBAF electron beam is generated via the photo-electric effect, where polarized electronsare ejected from a cathode under exposure to the proper laser light. The polarized source for G0begins with a 5 Watt fiber laser which generates a train of 780 nm pulses at a rate of 499 MHz.This laser offers improved locking and power capabilities over the Ti-Sapphire laser system usedin the forward angle experiment. The laser beam passes through a series of optical elements on itsway to the electron emission gun system; a schematic of the laser table is shown in Figure 2.2. Adescription of the key optical components as well as major systematics follows.Fiber LaserDuring the G0 forward angle experiment, mode-locked Ti-Sapphire lasers were used to drivethe CEBAF DC high voltage GaAs photoguns for each experimental hall [92, 93]. For backwardangle running, the laser system was upgraded to run a fiber laser system (Figure 2.3) [93]. This46PPLN SHGFiber Laser 2Hall CLasersfrom Halls A and BHall C TuneGeneratorATTEN CHall C IAShutterBeamCombiner PSS ShuttersInsertablehalf-waveplatePolarizationControlPockels CellRotatinghalf-waveplatePeriscopefor Gun 3 operationVacuum window to gun 2Figure 2.2: Laser Table Schematic. The PPLN (periodically poled lithium niobate) fiber laserpasses through a series of optical elements notably the (IA) intensity attenuator, insertable half-wave plate, rotatable half-wave plate and polarization Pockels cell. Note: PSS - personal safteysystem.system uses a low power (mW) laser diode that is typically used in the communications industryto seed the final amplified output light. The key advantage of the fiber-based laser is that opticalpulses are created via gain-switching, a purely electrical technique driven by an input sinusoidalsignal. The lack of an adjustable laser cavity eliminates the need for feedback loops to maintainphase-lock of the optical pulse train to the accelerator RF.The fiber-based laser system has other advantages as well. In particular, fiber-based componentsrequire no cleaning or alignment after connection and generate high powers (several Watts) at 1560nm. The fiber-based drive laser produces four times the optical power provided by the mode-lockedTi-Sapphire lasers used previously. This light must be frequency-doubled to be useful for GaAsphotoguns, but at 40% doubling efficiency the total power still exceeds that of the previous setup.47 λ/2    Figure 2.3: Schematic of the fiber-based laser system. DFB, distributed feedback Bragg reflectordiode laser; ISO, fiber isolator; SRD, step recovery diode; L, lens; PPLN, periodically poled lithiumniobate frequency doubling crystal; DM, dichroic mirror.Pockels CellThe Pockels Cell controls the polarization of the laser light using a voltage controlled birefringentcrystal [92]. When voltage is applied to the crystal the index of refraction along one axis is changedrelative to that along the other. For the G0 experiment, laser light is first passed through a passivelinear polarizer then the Pockels Cell. The Pockels Cell is oriented so that its axes are rotated 45◦with respect to the direction of the polarized light. High voltage (∼ 700 V) is the applied to thecell so that the phase of one of the two components of the laser light becomes retarded relative tothe other by a quarter-wave length by the time the light exits, creating circularly polarized lightwith a helicity depending on which axis retards more strongly (Fig 2.4).In essence, the Pockels Cell acts as a quarter-wave plate with a user controllable retardationsign. It allows the helicity of the light to be changed on an interval by interval basis which in turnallows the polarization sign of the electrons leaving the gun to be controlled. This is crucial for theG0 experiment as it allows the helicity dependent asymmetry of the electron-proton cross sectionto be sampled on a time scale much shorter than typical slow drifts in beam properties. In practice,48Figure 2.4: The Pockel cell acts as a controllable quarter-wave plate, turning linear light intocircularly polarized light.the helicity (left- or right-handed or +/-) of the beam is changed every 1/30 second (a macropulse,MPS). The 130 second interval was chosen to make the asymmetry measurements insensitive to 60Hzline frequency noise (integrating over two full cycles) as well as all other noise from harmonics of 30Hz. Four such macropulses are pseudorandomly (artificially generated random number) arrangedinto one of two ”quartet” structures, + - - + or - + + -; the electron cross-section asymmetry ofeach quartet is eventually measured. The quartet structure is chosen such that the positive andnegative helicity pulses are measured at the same average time, thereby eliminating the effect oflinear drifts. The asymmetries measure by G0 are calculated quartet by quartet asAqrt =Y1+ + Y4+ − Y2− − Y3−Y1+ + Y2− + Y3− + Y4+(2.1)Aqrt =Y2+ + Y3+ − Y1− − Y4−Y1− + Y2+ + Y3+ + Y4−(2.2)for the two quartet patterns where Y is the yield, and the indices represent the 4 MPS within aquartet and the +(-) helicity states. The final measured asymmetry is the mean of all quartetasymmetries measured over the entire run. This measurement scheme reduces the beam stability49requirements to a level that makes measurements on the ppm scale achievable.Insertable half-wave plateThe insertable half-wave plate (IHWP) (Fig. 2.2) is a fixed birefringent optical element witha thickness chosen to shift the phase of light along the slow axis by pi relative to that along thefast axis [92]. It has the effect of changing the handedness of circularly polarized light from left toright and right to left. The G0 experiment uses the IHWP to study systematic false asymmetrieswhich may be induced by electronic or beam transport effects. With the insertable half-wave plateinserted into the laser line, the MPS structures listed above are changed from + - - + or - + + -to - + + - or + - - + effectively changing the the sign of any true helicity-correlated asymmetry.Non-helicity correlated false asymmetries will not change sign with IHWP state and thus can bedetermined by comparing asymmetries with the IHWP in and out.Intensity AttenuatorThe Intensity Attenuator (IA) (Fig. 2.2) is an optical system consisting of an upstream linearpolarizer, a wave plate, a Pockels Cell and a downstream linear polarizer [92]. This system allowsthe Pockels cell voltage (0-200 V in operation) to vary the intensity of polarized light leavingthe downstream polarizer by rotating the initial linear polarization through a small angle. Usingthe IA, the intensity of light can be varied MPS to MPS, to either balance the charge in eachhelicity state to drive the charge asymmetry to very small values or induce charge asymmetriesin the resulting beam structure. In standard running mode this fast charge feedback system isused to automatically reduce the charge asymmetry. Dedicated studies were also taken with large,fixed charge asymmetries to study the effectiveness of various asymmetry corrections. These arediscussed further in the Analysis chapter below.Rotatable Half-wave plateIn addition to the controls described above a rotatable half-wave plate (RHWP) (Fig. 2.2) isplaced in the laser line [92]. The photo-cathode generally has higher emission efficiency for lightwith a particular linear polarization direction - its “optical analyzing power”. The axis of the50RHWP can be rotated to ensure that any ellipticity in the final ”circular” polarized light has itsmajor axis oriented 45◦ relative to the optical analyzing-power axis of the photo-cathode with andwithout the IHWP in the system. Aligning the final light in this way minimizes charge asymmetries.Ga-As CathodeWhen perfectly circular light is shown on a bulk type GaAs crystal, photo-emmited electronsleave the surface with a maximum polarization of 50% due to the availability of two excitationchannels of the electron into the crystals conduction band (Figure 2.5). To improve the polarization,a single layer of GaAs can be placed under strain which breaks the energy level degeneraciesin the valance band and allows one to theoretically achieve 100% polarizations. Typical realworld polarizations achieved from such strained crystal cathodes (used in the forward angle G0experiment) range form 70% to 85%. However, placing the crystal under stain also tends to lowerthe quantum efficiency (electron to photon ratio) from values well over 1% to values 0.02-1%,depending on the wavelength of the incident light.For the G0 backward angle experiment, a superlattice GaAs photocathode was used [92]. Thiscrystal was installed and through exposure to atomic hydrogen activated with a negative electronaffinity in 2004. The superlattice cathode is a layered series of GaAs bonded to a substrate tocreate the strain. This setup can deliver a maximum polarization of 87% using the laser setupdescribed above. The QE of the cathode was monitored daily throughout the experiment and thelaser intensity was adjusted accordingly to maintain the beam current required in the experimentalhall. When the QE dropped to a value too low to maintain operation the spot position was changedor the surface was re-activated.2.1.2 Injector SystemSpin rotation via Wein FilterThe spin rotator used by CEBAF is a Wien filter located in the 100 keV beam line followingthe electron gun. The Wien filter is a static electromagnetic device with electric ( (E) and magnetic( (B) fields perpendicular to both the particle velocity ((β) and each other as shown in Figure 2.6[94]. This filter is used to tune the initial horizontal polarization of the electrons to compensate51        Figure 2.5: Band gaps shown for the bulk (a) and strained (b) GaAs crystals. The bulk GaAsshows a degenerate valance state, which limits the polarization to 50%. Shown here are the leftcircularly polarized excitations. The circled numbers indicate the relative transition strengths.for g-2 precession in the accelerator, without changing the beam orbit, and deliver longitudinallypolarized electron to the halls.The Wien angle (ηWien) is the angle by which the beam polarization is rotated, in the planedefined by the electric field and the beam momentum. The Wien angle is directly proportional tothe applied fields (ηWien = η (E + η (B). At the injector beam energy (100 keV) this is dominated bythe contribution from the electric field integralη (Bη (E=−αγg2γ − αγ= −.17% (2.3)where the Lorentz factor γ = 1.1957 at 100 keV, g is the electron gyromagnetic factor, and α =g−22 = 1.159652 × 103. The transverse electric field is produced by two electrodes which span the52length of the filter. A magnetic field normal to the electric field is applied to balance the Lorentzforce on the beam axis,(F = q( (E + (β × (B) = 0 (2.4)requiring that |EB | = β. The overall sign of the spin rotation is controllable through a high voltagerelay.Following the Wien filter, the beam has in general a horizontal polarization component. Thiscomponent is rotated about the beam axis by any net longitudinal magnetic field integral. Magneticsolenoids, used for beam focusing following the Wien filter, are comprised of segments oriented toprovide equal and opposite longitudinal field integrals, thus giving no net rotation out of the planeto any horizontal polarization component [94]. A vertical component of polarization exiting theinjector can arises from imperfect cancellation of the longitudinal field integral of the focusingsolenoids, but is small.XZP ηWienMAGNETICFIELDELECTRICFIELD Beam Figure 2.6: Diagram of a Wien filter indicating the rotation of the beam polarization relative tothe beam direction (ηWien) in crossed magnetic and electric fields (EB = β ). In this experiment,the electric field and the spin rotation are in the horizontal plane. [94]2.1.3 CEBAF Accelerator SystemAfter the Wien filter orients their spin such that they will be longitudinally polarized uponentering the hall, the electrons enter the accelerator system. The accelerator system, consisting53of two linear accelerators (LINACs), uses microwaves to accelerate the injected electrons by morethan 400 MeV each per pass (Fig. 2.1). The LINACs are connected via return arcs for up to fiverepetitive accelerations. After acceleration to the desired energy (∼690 MeV and ∼360 MeV forG0 in a single pass), the beam is steered into a hall via the ”switchyard” magnets. The energy ofthe beam is measured by a position monitor (IPM3HC12) located near the entrance of the hall ina dispersive section of the beamline.The superconducting radio-frequency (RF) cavities used to accelerate the electrons operate at1499 MHz, with alternating beam delivery to each of the three halls at a rate of 14993 = 499 MHz.The simultaneous three hall delivery of beam is achieved using three different 499 MHz lasers (onefor each hall) incident on the common GaAs cathode. They are timed to be 2pi3 out of phase witheach other. The accelerator is designed such that it is able to deliver a maximum of 200 µA ofelectron beam current at energies up to 6 GeV. The G0 backward angle experiment ran with a 687MeV and 362 MeV electron beams with an intensity up to 60µA.For the G0 forward angle experiment, the repetition rate of the beam (31 MHz) was significantlydifferent from what is usually delivered at JLab in order to identifies particles through time of fightseparation. This condition was relaxed for the backward angle running as a Cˇerenkov detector wasused to provide particle identification.2.1.4 Beam Line DiagnosticsOnce in the hall the polarized electron beam is no longer actively steered or accelerated. Manydiagnostic monitors are available to provide critical characterization of the beam just before andafter interaction with the target. These include luminosity monitors for narrow width electronasymmetry measurements, beam charge, position, and energy monitors used in determining helicitycorrelated corrections, and halo monitoring systems to determine the collimation of the beam inthe hall. The individual components are shown in Appendix E. The primary monitors used in theG0 analysis are the IPM3HG0/B position monitors, IBC3HG0/B charge monitors, IHM3HG0 halomonitors, BPM 3C12/08 for energy determination, and LUMIs 1-8.54Beam Charge MonitorIn order to constantly monitor the beam current, resonant cavity monitors are employed whichprovided relative charge measurements (the absolute value is determined at high energies usinga UNSER monitor). These cavities use cylindrical wave guides whose resonant frequencies aretuned to the 1497MHz beam frequency [95]. In the main body of the detector, a loop antennamagnetic field probe is coupled to one of the resonant modes of the cavity and the output fromthis is proportional to the electron current which passes through (Fig. 2.7). This provided currentinformation at the 0.1 µA level.Figure 2.7: Schematic of cavity BCM.Beam Position MonitorsThe x and y (transverse) position of the beam on the target, is determined continuously byextrapolating the result from two beam position monitors (BPMs) just upstream of the target55position. These BPMs consist of a 4-wire antenna array of open ended thin wire striplines tunedto the beam frequency [95]. A difference-over-sum technique comparing the beam induced signalson each wire asX ∝ X+ −X−X+ +X−(2.5)determines the relative position of the beam to better than 100 microns for currents above 1 µA.A schematic of this monitor is shown in Figure 2.8.XY’YX’Y- X+Y+X-Antennes45 deg.Figure 2.8: Schematic of stripline BPM.HALO MonitorThe CEBAF beam can acquire a diffuse distribution of electrons outside of the primary focusbeam from, e.g, beampipe scraping, scattering from gas in the beam pipe, or self scattering fromthe the electrons themselves. In order to reduce detector noise and physical background, this “halo”was monitored to maintain an acceptable experimental limit (∼ 1 ppm of the beam outside of 3 mmradius). This halo is measured by passing the beam through holes of 3 mm or 5.5 mm in a 2 mmthick sheet of carbon (the halo targets). Beam halo interacting with the carbon is then detectedby a set of 8 detectors (bare scintillators, or scintillators attached to lucite) located upstream ofthe Møller and on the G0 girder (Fig. 2.9). The achieved halo level is given below [96].56Figure 2.9: Positions of halo target and G0 girder halo detectors.Luminosity MonitorsA set of luminosity monitors were installed at small forward electron scattering angles. They areCˇerenkov detectors comprised of a synthetic quartz scintillator, copper wire mesh filter to reducerates seen in the detectors, and photomultiplier tubes. Four monitors were installed at an angle of3.74o and another four at 3.98o [98]. The azimuthal locations of the luminosity monitors can beseen on Fig. 2.10.Figure 2.10: G0 luminosity detector. The upstream detectors are in the even octants and are at ascattering angle of 3.74o. The downstream detectors are in the odd octants and are at a scatteringangle of 3.98oThese monitors are installed to detect the forward scattered Møller and elastic electrons. One57of the advantages that the luminosity monitors have over the main detectors is that the former havea much higher counting rate and therefore a considerably smaller asymmetry width. Whereas themain asymmetries have a width of over 3000 ppm, the luminosity monitors have widths of about300 ppm. This allows for a measurement of asymmetries with much higher precision. At such smallscattering angles, the asymmetry expected to be measured by the luminosity monitor is <0.1 ppm.With an asymmetry width of 300 ppm, the asymmetry can be measured with an uncertainty ofabout 0.1 ppm over the entire production run. The luminosity monitors have another advantagethat standard beam current monitors (BCMs) and beam position monitors (BPMs) do not have,in that they can detect electron scattering rates from small beam currents that BCMs and BPMscannot see. Also, the narrow asymmetry distributions seen by the luminosity monitors providesensitivity to target density fluctuations which cause a measurable broadening of the widths.Parity Quality BeamThe beam parameters monitored for helicity-correlation were beam charge, x and y beamposition, x and y beam angle, and beam energy. The x and y positions and x and y angles atthe target were determined using the BPMs mentioned above and are a few meters upstream ofthe target. Each BPM is capable of measuring both the x and y position of the beam, so the twotransverse positions and two angles of the beam at the target can be determined.Changes of these beam properties with helicity state can induce helicity-correlated (HC) falseasymmetries related to the property differences asAfalse =12YΣidYdPiδPi (2.6)where the dYdPi represent the response of the measured detector yield to changes in the six beamparameters, and the δPi are the HC beam parameter differences. The calculation of these HC beamparameters using the beam line monitors are calculated asCharge asymmetry = Aq =I1 + I4 − I2 − I3I1 + I2 + I3 + I4(2.7)Position Angle and Energy differences = δPi =P1 + P4 − P2 − P32(2.8)58The charge asymmetries induced during helicity flips are controlled via a beam feedback system.These effects are also studied in coil pulsing runs where the beam is modulated to induce controllableposition and energy differences. The associated detector responses are recorded. A linear-regressionprocedure is applied during analysis to further correct remaining helicity-correlated beam param-eter effects and will be described in the Analysis chapter below. The asymmetries measured inthe G0 backward angle experiment are about nine times larger than those in the forward anglemeasurement, so it was expected that previously achieved beam specifications would be more thanadequate to provide ”parity quality” beam. Further natural dampening of the position differences(adiabatic dampening) eliminated the need for position feedback in the backward angle configura-tion. This effect, which scales roughly with γ, occurs as longitudinal momentum increases duringacceleration while transverse momentum does not (although the actual damping effect depends agreat deal on the tune of the beam optics).2.1.5 Beam Polarization DiagnosticsMøller PolarimeterOnce in the hall, the beam’s polarization is measured with a Møller polarimeter [94]. The Møllerpolarimeter measures the left/right asymmetry in polarized e−e− scattering from the beam strikinga thin, vertically magnetized iron target (Figure 2.11). This asymmetry is completely calculable[97] asAM = −79PBz PTz +19PBy PTy −79PBx PTx (2.9)where PBi and PTi are the beam and target polarization along the coordinate i. For the G0 back-ward angle experiment the first quadrupole of the system was shifted about 8.5 inches closer tothe superconducting solenoid, improving focussing of low energy electrons and enabling Møllermeasurements at 687 MeV. However, attempts to make measurements at 362 MeV were largelyunsuccessful (there were a few low precision measurement taken at 0.5 and 1 Tesla) and the Mottpolarimeter, described below, was used instead.The Møller polarimeter was use to take a series of 18 measurements over the span of oneyear. The analyzing power for each measurement was extracted oﬄine using a detailed simulations59which included fringe field effects in the quads, beam offset effects, and the impact of the Møllercollimators. In addition, the analyzing power was corrected for the fact that the polarimetersolenoid ran at 3 T instead of 4 T due to unavoidable beam steering effects at low energy (a +0.1%correction) and for beam heating effects (a +0.2% correction). The individual measurements wereaveraged over half-wave plate states since no difference was seen between half-wave plate IN vs.OUT. The dominate systematic uncertainties were a 1% contribution from observed reproducibilityassociated with beam tuning, followed by .5% uncertainties related to target polarization. Withpoint-to-point systematic uncertainties included, the χ2dof of a single parameter fit over the Møllerdata set was found to be ∼0.80. A single value for the entire running period was extracted from theconstant fit using the statistical uncertainties only, with the systematic uncertainty terms addedin quadrature (Fig. 2.12) [99]P = 85.78 ± 0.07(stat)± 1.38(syst)%. (2.10)!1.0m 7.85mHelmholtzcollimatorQ1beamdetectorsQ23.20mtargetFigure 2.11: Schematic of the Hall C Møller polarimeter.Mott PolarimeterThe Mott polarimeter (Fig. 2.13), installed in the 5 MeV region of the injector, was also usedto make additional polarization measurements during the G0 backward experiment. It provided aconsistency check with the Møller measurements during the 687 MeV running, and was used validatethis beam polarization from the 362 MeV running period [94]. The Mott scattering asymmetry60         Figure 2.12: Møller polarization measurements taken during 687 MeV running measured over theentire G0 backangle running period. The data are fit with a constant and the results is assumed tobe independent of beam energy. Inner error bars denote statistical uncertainties only, while outererror bars denote statistical and pointtopoint uncertainties added in quadrature. The solid line isa constant fit while dashed lines show the uncertainty on the fit.arises from the spin-orbit coupling between the electron spin and its orbital angular momentumin the Coulomb potential of the target nucleus (related to the transverse single spin asymmetrydiscussed in Section 3.3.7).Analysis shows that the trends in the injector Mott measurements are consistent to thoseobserved in the Møller data, although historically showing a negative offset. This discrepancy wasinitially observed to be ∼4%. A large portion this offset was found to come from a 1% photonbackground in the Mott data, verified using a GEANT simulation. Correcting for these effectsreduced the Møller/Mott disagreement to ∼2%. For the Mott measurements, the 687 MeV and362 MeV data sets were found to be consistent when analyzed independently and then compared(Fig. 2.14). Under the assumption that the same consistency holds for the Møller, the value of thebeam polarization extracted from the Møller running taken at high energy is also applied to thelower energy data, with uncertainties obtained from the 5 MeV Mott measurement comparisons atboth energy settings.The 362 MeV Mott measurements were consistent with a constant value within the measured61statistical uncertainties. The 687 MeV Mott measurements are consistent with a constant polariza-tion value only when assigning an additional point-to-point systematic uncertainty. This systematicuncertainty was set equal to the average uncertainty on each point (0.7%) multiplied by√χ2dof of aconstant fit (=√3.59) and when included improves the fit quality. This extra point-to-point system-atic uncertainty (∆ P/P = 1.6%) from the Mott measurements at 687 MeV is added in quadraturewith the uncertainty of the Møller measurements to give the total systematic uncertainty on thepolarization at 362 MeV [99]. The final 362 MeV result isP = 85.78 ± 0.07(stat) ± 1.95(syst)% (2.11)Additional beam polarization cross checks were performed with the Hall A polarimeter during aPHOTOMULTIPLIERSCINTILLATOR ELASTICMOTTELECTRONBEAM DIRECTIONBe RINGTARGET LADDERVACUUMWINDOWLINEARFEEDTHROUGHTHIN AlVACUUMWINDOWCu BAFFLE1.01mFigure 2.13: Schematic of the Mott polarimeter.“Spin Dance” tuning of the Wien filter and further enhances the confidence in the Møller measure-ments [94].62                            Figure 2.14: Mott measurements during the G0 Backward experiment. Points are plotted withstatistical uncertainties only.2.1.6 G0 Beam PropertiesThe final G0 backward angle measurement achieved values for parity quality beam can be foundin Table 2.1. The achieved values are the averages over all good runs defined in Chapter 3. AllParameter value spec∆x (nm) −19± 3 40∆y (nm) −17± 2 40∆θx (nrad) −0.8± 0.2 4∆θy (nrad) 0.0± 0.1 4∆E (eV) 2.5± 0.5 34AQ (ppm) 0.09± 0.08 2Table 2.1: Summary table of the helicity-correlated beam parameters throughout the entire runare given along with the specification required to achieve the goal precision of the experiment. Thequantities in the first 5 rows are defined as the helicity-correlated differences: ∆P = P+ − P−.The last row is the charge asymmetry, defined as AQ =Q+−Q−Q++Q− .parity quality specifications for the G0 backward angle measurement were successfully satisfied.632.2 Target SystemThe G0 backward angle experiment used unpolarized cryogenic liquid targets of hydrogen (LH2)and deuterium (LD2). A complete study of the properties of this target was performed during theforward angle G0 experiment , the results of which are described in [100, 101]. The particular fea-tures of the system important to maintaing a constant target density to achieve a precise asymmetrymeasurement will be described below.The target system is a closed loop of cryogenic target fluid cooled via a helium heat exchangerand guided into a cylindrical target region. The loop and target cell are oriented horizontally insidethe magnet system vacuum enclosure; a schematic of the target loop is shown in Fig. 2.15.Figure 2.15: Overview of the G0 liquid hydrogen cryotarget. Beam is incident from the right inthis view. Exiting scattered electrons of interest emerge at 108◦±8◦ with respect to the beam fromthe hydrogen liquid downstream (left in the figure) of the helium cell.The target loop has a total volume of ∼6.5 L and a high torque cryogenic pump (upper sidein Fig. 2.15) circulates the target liquid rapidly (∼ 0.2 L of liquid per pump revolution) with anominal pump rotation frequency of ∼31 Hz. The liquid is cooled via a heat exchanger (two layersof tightly-packed tubes at the bottom of Fig. 2.15) located on the other leg of the target loop.The exchanger circulates gaseous He coolant (15 K, 12 atm) supplied by the JLab end station64refrigerator (ESR) with a flow rate of ∼6 g/s. The cooling power of the exchanger was ∼50 W perg/s of coolant flow.The main target loop is connected to the target manifold through two aluminum conflat flanges,shown in Fig. 2.16. The manifold assembly contains two cylindrical aluminum cells both placedFigure 2.16: A detailed view of the G0 target manifold which houses the primary hydrogen celland the secondary helium cell. Figure taken from [101].coaxially with the beam. The beam travels through the secondary helium cell on it’s way to theprimary cryogenic cell. The cryogenic cell was a seamless machined piece with length of ∼23cm, wall thickness of ∼0.178 mm, and an inner diameter of ∼5 cm. The downstream wall of thehydrogen cell, the beam “exit window”, was machined to a thickness of ∼0.0762 mm (from ∼0.178mm) in a diameter of ∼8 mm to reduce elastic and, in particular, inelastic electron backgroundsfrom interactions in the aluminum. Further information on these backgrounds are provided in theAnalysis chapter below.The helium cell, a 16 cm long cylinder with an inner diameter of 1.27 cm , was placed upstream ofthe hydrogen cell and served to defined the length of target fluid seen by the beam. The downstreamwindow of the He cell, the beam “entrance window”, was 0.228 mm thick. The distance betweenthis entrance and the exit window of the cell defined the length of the liquid hydrogen target at ∼20cm. The upstream window of helium cell was ∼0.178 mm thick. The helium cell was filled with Hegas, and maintained at the same pressure and temperature as the hydrogen cell thus keeping both65the beam entrance and exit windows of the hydrogen cell spherically convex with a curvature radiusof ∼7.6 cm, reducing helicity correlated changes in target length due to potential parallel beamposition shifts [75]. The liquid enters the target cell from the heat exchanger through a thin-walled(0.0762 mm) conical aluminum tube (the light blue tube in Fig. 2.16) in the hydrogen cell (dubbedthe “windsock”). This guides the cool liquid down the center of the cell and pushes warmed fluidthrough holes in the wall of the conic tube. This perforated conical tube also increases turbulencein the liquid, enhancing the heat transfer and removal.The nominal running condition for the liquid hydrogen target was 19 K (2 degrees belowthe boiling point) with a loop pressure of 1.7 atm. During normal running, the target loop wasconnected to a 2500 gallon ballast tank filled with hydrogen gas, allowing a constant loop pressureto be maintained. For deuterium running, the liquid is maintained at 22 K (3 degrees belowthe boiling point) and 1.7 atm. A separate ballast tank was used for deuterium. Temperaturesensors located at various pionts inside the loop, and a high power heater located upstream ofthe cryopump comprise a Proportional-Integral-Differential (PID) feedback system. The feedbacksystem monitored the beam current incident on the target, and regulated the output of the heaterto maintain the total power of the combined beam and heater system at ∼ 300 W. With thissystem, the temperature excursions after changes in beam current were kept under 0.2 K. In orderto distribute the beam heating, a two magnet system was used to steer the beam (of nominaldiameter 50 µm) at a high frequency (18 kHz) generating a 2 mm×2 mm square of uniform density[102].Despite these efforts, the electron beam creates density fluctuations in the target liquid. Thesefluctuations can increase the width of the measured asymmetry beyond that expected from countingstatistics. In addition, boiling might change the target density globally. These boiling effect werestudied systematically with the LUMIs. If the target density fluctuates from quartet to quartet, itresults in fluctuations in the scattering rate where the statistical precision of the asymmetry couldbe degraded beyond counting statistics. In other words, the width of the asymmetry distributionsmeasured by the LUMIs increases with the onset of boiling. Figure 2.17 shows the LUMI widthsversus beam current for 687 MeV hydrogen along with a typical Poisson curve observed in solidtargets [98]. The difference in these two curves indicate the effects of target boiling.66Figure 2.17: LUMI widths versus beam current for 687 MeV hydrogen. The black is a statisticaltrend followed by the solid carbon target.The contribution to the asymmetry width will be the same for all of the detectors. For example,the contribution to the asymmetry width for the main detectors will also be the ∼280 ppm seen inthe LUMIs. But whereas the typical width of the Lumi asymmetries is ∼300 ppm, by comparison,asymmetry width for one octant of the elastic electron locus was of the order of 19,000 ppm, soboiling effects are small.In a test run, the target loop was also be filled with gaseous hydrogen (GH2) at 33K and2.3 atm to study the contributions of the background arising from the aluminum cell windows.Additionally, two dummy Al targets were located to approximate the entrance and exit windowsof the hydrogen cell, the “aluminum frame” and “flyswatter” respectively. The frame target waslocated 1.7 cm upstream of the entrance window, with a thickness of 0.307 cm, and the flyswattertarget was located 1.0 cm downstream of the exit window, with a thickness 0.076 cm. The target67system could be moved to place only the frame target in the beam; the flyswatter could be movedin and out of the beam line while the cryogenic target was in place. Furthermore a tungsten (W)radiator of 0.0085 cm thick was located 38.5 cm upstream of the flyswatter. The flyswatter couldbe used with or without the W radiator in order to study the contribution of inelastic protons dueto the photo- or electro-production from the exit window in the gas target runs. The results oftarget studies will be summarized in the analysis chapter below.2.3 Superconducting Magnet SystemThe G0 Superconducting Magnet System (SMS) is composed of eight azimuthally symmetrictoroidal windings (octants) [103]. These windings generate a magnetic field (with a maximum fieldintegral of 1.6 T·m) that bends backward scattering electron through a set of lead and aluminumcollimators, which define the acceptance of the scattered particles, and onto the detector system.The eight coils are made of Niobium-Titanium (Ni-Ti) alloy, soldered to a copper substrate, andFigure 2.18: A view of the octants and an side-view of sms field in one octantcooled to a superconducting temperature of 4.5 K using liquid helium. The toroidal windings aredesigned to generate magnetic field lines circulating clockwise looking downstream. The coils areenclosed within a single cryostat and shielded from room temperature by a liquid nitrogen shield68at a temperature of 90 to 130 K. Vacuum of order 10−6 Torr is maintained in the cryostat in orderto minimize heat transfer.2.3.1 SMS Cryogenic SystemThe cryogenic circuit of the SMS is sketched in Fig. 2.19. The 4.5 K liquid helium is suppliedby the JLab Central Helium Liquifier (CHL). With the magnet cold, this supply is fed into areservoir which in turn feed the coolant to the coils. The flow of both helium and nitrogen isregulated to maintain a constant reservoir level with an automated PID loop system, consisting ofa set of Joule-Thompson (JT) valves, and level sensors. Since the coils must be superconducting atmaximum current (5000 A), temperature sensors are placed on the coils, the nitrogen shield, theLHe and LN2 inlets, and the collimators. The temperature sensors used were platinum resistancethermometers (PT-102), ruthenium-oxide (ROX), and CERNOX sensors, each covering a differenttemperature range from 300 K down to 4.5 K.Figure 2.19: G0 SMS cryogenic circuit. The cryogenic system is separated into the LN2 circuitwhich supplies the liquid nitrogen shield with coolant, and the LHe circuit which supplies liquidhelium to the superconducting coils.692.3.2 SMS Vacuum SystemThe vacuum system of the SMS is connected beamline vacuum, and extends without interrup-tion back to the injector. This volume can by isolated using valves at the upstream end of thetarget and the downstream end of the beam line. This allows the magnet and target to be movedout of the beam line, as well as providing protection for the cryo system from vacuum excursionsin the accelerator. Two 1000 l/s turbo-modular vacuum pumps are used. One is mounted onthe pump-out port below the magnet, and another is placed on the downstream end of the exitbeamline. Typical pressures while the experiment is running was measured to be about 10−6 Torr.A set of pressure gauges are installed to measured the vacuum in the magnet including: a cold-cathode gauge installed at the “0o” port, thermocouple gauge located on the reservoir, and athermocouple and a cold-cathode gauge mounted at the bottom on the shear-pin port.2.3.3 SMS Electrical SystemFor the backangle angle run, the SMS operated at a current of 3500 A and 2650 A for thenominal 687 MeV and 362 MeV running respectively. The SMS electrical circuit can be seen onFig. 2.20. The current is provided by a Dynapower 8000 A silicon-controlled-rectifier (SCR) basedsupply with a 20 V output. A zero-field current transducer (ZFCT) measures the magnetic fieldfrom the supplied current and provides feedback to the power supply for current regulation.The current from the power supply is transmitted to the SMS coils using flexible, water-cooledcables. The water-cooled cables are connected to the superconducting buss through vapor cooledleads. These leads are cooled with helium vapor from the LHe reservoir and provide a gradualtransition from room temperature to the superconducting operational temperature of the coils.MKS 1599 flow meters on the vapor cooled leads, and Proteus flow meters on the water supplymonitor these systems.2.3.4 SMS Control SystemThe SMS control system provides continuous monitoring of the electrical, water, vacuum andcryogenic status of the magnet. The system consists of the sensors, the Programmable Logic70  Ω Figure 2.20: G0 SMS electrical circuit. A 8000 A power supply distributes current through theleads to the SMS coils. In the event of a quench, a circuit breaker cuts the connection on one of theleads (fast dump), and dissipates the current through a 0.05 Ω resistor. MCM: thousand circularmils.Controller (PLC), the temperature controllers, and the control system software. The sensor system,which includes the temperature sensors (described above), voltage taps, and pressure gauges, arecontinuously read out through multi-pin ceramaseal connector ports located around the cryo vesselas shown in Fig. 2.21.Fig. 2.22 shows the general schematic of the control system. This system contains two alter-ations to that used for the forward angle running. First, the Direct Logic DL405 programmablelogic controller (PLC) by Automation Direct was moved from its position inside of the hall, to theelectronics room in the Hall C counting house. The control signals and readouts were tranmittedbetween the hall and the electronics room over ethernet using an Ethernet Remote Monitoring/BaseController setup. This was done in an attempt to eliminate the cryo-dumps during the forwardangle experiment initiated by radiation damage to the solid state ROM that holds the controlsequence for the PLC. Second, a transistorized switching board was installed in the relay boxesthat handled the opening and close of the JT values (Figure 2.23, 2.24). This allowed both for thecurrent across the physical relay to be reduced preventing the frequent burnout experienced during71Figure 2.21: Location of feedthrough ports.forward angle running, as well as for control of the actuator speed allowing precise positioning of thevalves. These changes reduced the down time (with beam available) due to magnet related issuesfrom 5% to less than 1%. The PLC software, accessed and controlled through a Labview-basedcontrol system software called LookoutDirect, running on a Windows operating system, receivedonly minor changes from the forward angle version, most related to the new systems just described.2.3.5 SMS StudiesThe SMS is designed for easy reversal of polarity. In order to reverse the polarity, the leads ontop of the power supply were physically swapped, and the orientation of the ZFCT was reversed.During backward angle running, the polarity of the magnet was reversed from its standard electronmode to allow studies of pion backgrounds, including e+ from pi0 decay. These studies are furtherdescribed below.72EBCHall CCountingRoom PLCERMFigure 2.22: SMS control system.Figure 2.23: A picture of the custom transistorized board added to the relay switching boxes.73Figure 2.24: A schematic of the custom transistorized board added to the relay switching boxes.74Additionally, several studies were performed to understand the acceptance of detector systemby varying the current of the SMS ± 50% from the nominal values. This field scan technique wasthe primary technique used to understand the background processes which dilute the true physicsvalues of interest. The complete details are provided in Chapter 3.2.4 Detector SystemThe backward angle G0 detector system consists of a base package of two sets of scintillatorsand an aerogel Cˇerenkov detector [103]. This setup is replicated azimuthially about the beam linein octants. One of the sets of scintillators, the focal plane detector (FPD) array, was used in theforward angle measurement, along with a measurement of time-of-flight, to separate the elasticprotons from inelastic protons and pion background contamination. These detectors providedmeasurements of multiple Q2 bins at forward angle. In backward angle, the measurement of ultrarelativistic electrons makes time-of-flight inadequate for background separations, and due to thephase-space accessible to the spectrometer, essentially only one Q2 value can be measured for anygiven beam energy setting and SMS tune. To this end, a second set of scintillators was added, thecryostat exist detector (CED) array, near the exit windows of the cryostat. With the FPDs, thisallows a rough determination of both scattering angle and momentum.The Cˇerenkov detector provides rejection of pions to reduce backgrounds, especially in thecase of the deuterium target where electron-neutron collisions create a high rate of pi−. With theCˇerenkov, it also becomes possible to separately measure the parity-violating asymmetry of thepion production in deuterium which has its own physical significance [104].2.4.1 Scintillator ArraysFocal Plane DetectorsThe focal plane detector (FPD) array consists of 16 arch-shaped scintillators (numbered from 1 -nearest to the beam line - to 16) which were determined to provide Q2 bins of reasonable resolution,based on simulation, for elastic e-p scattered protons in the forward angle running mode. Eachof the FPD scintillators is paired with a second identically shaped partner to reduce background75Figure 2.25: G0 backward angle detector system.from low energy neutral particles. For backward running each scintillator was viewed with a singlephotomultiplier tube. The tubes were placed on opposite ends of the two scintillators to providegood mean time resolution. Lucite light guides are used to transmit the light produced in thescintillator to photomultiplier tubes mounted in a region of low magnetic field - up to 2 m awayfor the low Q2 FPDs.For several reasons, including both budgetary constraints and technical/scientific grounds, thedetectors and electronics for the four octants numbered 1,3,5, and 7 were built by a North-American(NA) collaboration (USA-Canada), and those for octants 2, 4, 6, and 8 were built by a French(FR) collaboration (IPN- Orsay and LPSC-Grenoble) collaboration. Although the basics of thedetector systems are identical, there are differences in the details of the design and the constructionprocedures between the NA and FR octants. The specifics are described in [103]. Note that theassigned octants for each collaboration are opposite each other when mounted on the Ferris Wheel,in order to reduce possible systematic uncertainties.76Cryostat Exit DetectorsFor the backward angle running, an additional array of detectors was added in each octant,the so-called cryostat exit detectors (CEDs) . Eight octants of CEDs, each composed of an arrayof nine CED detectors, are used in coincidence with the FPDs 3-16. This CED/FPD combinationcorrelates the momentum and scattering angle of the detected electrons after its path in the SMSmagnetic field, and thus allows for the separation of elastic and inelastic events.Constrained by the general shape of the FPD scintillators, the CEDs are also arch-shapeddetectors with 1 cm thick scintillators coupled to BC-800 UVT light guides, and are viewed fromeach end by photomultiplier tubes. The CED light guides have the same rather complicated shapesas the FPD light guides, primarily involving a tight helical bend which guides the light from a high-field, geometrically constrained region, to a lower-field region approximately 1.5 m away where thephotomultiplier tubes are located. The photomultiplier tube arrangement for the CEDs is similarto that used for the FPDs. In fact, the unused photomultiplier tubes FPD pairs are used on theCEDs.The CED and Cˇerenkov detector (described below) subsystems were installed for the backwardangle running using an integrated design for the CED-Cerenkov support. The support structurecenters around the use of prefabricated aluminum extrusions from Bosch because of their strength,versatility, and relatively low cost. The support structure consists of a second, “mini-Ferris Wheel”,which couples to the existing FPD support to the linear rails on the G0 Detector platform, allowingthe entire detector system to be moved relative to the SMS.2.4.2 Cˇerenkov DetectorsIn addition to the scattering angle and momentum measurement provided by the scintillatorarrays, an aerogel Cˇerenkov detector provides pion rejection across the full G0 momentum range.A single Cˇerenkov counter is installed in each octant between the CEDs and FPDs as part of themini-Ferris wheel assembly. Negatively charged particles entering an octant of the G0 spectrometerpass through 5.5 cm of clear aerogel (SP30 from Matsushita Electronics) which has an index ofrefraction of n = 1.035 [103]. If the particle, entering the Cˇerenkov detector exceeds the speed of77  Figure 2.26: G0 backward angle Cˇerenkov electron detector system. n-CER represents the tubenumber scheme use by the DAQ.light in the aerogel,ν >cn(2.12)where c is the speed of light in vacuum and ν is the velocity of the particle, a cone of light willbe emitted along the path though the medium. With the refractive index used here, pions up toa momentum of 570 MeV/c do not produce any light whereas all primary electrons do. The lightemitted enters a downstream cavity lined with a white diffuse reflector to help direct the radiationtowards the top of the box for detector. A total of 4% of the light produced is collected on fourphototubes of the Cˇerenkov.The scintillator and Cˇerenkov operate in coincidence mode for the electron detection, and inveto mode for background studies and pion measurements. The phototubes for each Cˇerenkovcounter for each octant are individually monitored and a firing of multiple tubes in coincidenceis used as the detection signature (M2 for two tube in coincidence; M3 for 3). This signal isthen discriminated and ANDed into the electron trigger. Using monitoring electronics (ARS), theCˇerenkov ADC spectra were used to check the calibration, efficency and pion contamination factor78of each octant (see Appendix C). The typical time-width of the signal from these detectors is ∼20ns (due mainly to collection time in the light box) and dominated the electronic deadtime.The Cˇerenkov photomultiplier tubes (which are very sensitive to magnetic fields) encountermaximum field components of the of 4 mT in the axial direction and about 11 mT in the transversedirection during nominal G0 running. Tests under similar field conditions were performed at theGrenoble High Magnetic Field Laboratory to determine the impact of these field on the performanceof the tubes (Figure 2.27) [142].         Figure 2.27: Gain of Cˇerenkov electron detector system versus axial field. These results are fromthe test performed at Grenoble. The value during running is 4 mT.To reduce such effects, shielding (consisting of three soft iron and one µ-metal tube, each 450mm long) is placed around the photomultiplier tubes along with square soft iron plates on the sideof the tubes closest to the SMS . With this shielding, no significant loss in gain was measured forthe nominal G0 magnetic field. Additionally, the position of the PMT in the tube was backed-offby 10-15 cm relative to the initially design specification.792.4.3 Neutron ShieldingThe Cˇerenkov aerogel detectors use 5” photomultiplier tubes. Initially 5” Photonis XP4572/Btubes with borosilicate windows were used. However, when switching from liquid hydrogen to liquiddeuterium target, the count rates recorded by the phototubes increased much more than expected,to a level restricting the operational luminosity. It was verified, by isolating a phototube fromthe Cˇerenkov detector volume, that more than 80% of the count rate originated in the phototubesthemselves. The suspicion was neutrons captured in the boron of the window produced decayproducts which created scintillation light in the glass, releasing photo electrons in the active photocathode of the tube.This was confirmed by testing of three phototubes with the collimated cold neutron beam atNIST [105]. One 5” borosilicate window tube Philips XP4572/B, one 2” quartz window tubeHamamatsu R375 (G0 luminosity monitor) and one 2” lime glass window tube Philips XP2262B(G0 NA FPD/CED detector) were mounted with their faces either normal to, parallel to the beam.The neutron beam was then scanned over tube in both configurations.It was found that the 5” borosilicate tube face (Fig. 2.28) yields on average about 3.7 singlephoto electrons (SPEs) per neutron in the center of the window, decreasing to less than 2.5 SPEsat 2 inches from the center [105]. A rough estimate for a weighted average over the volume of thewindow yields about 2.5 signals per neutron. The quartz and lime-glass windows produced ratewhich were 50 times less.Based on these results new 5“ Photonis quartz tubes (XP4578/B) were installed at the endof 2006. These tubes allowed the operational beam current with the deuterium to be more thandoubled and also help reduce systematics from rate effect as described below.2.4.4 ElectronicsFor the backward angle running of G0, the electronics for octants 1,3,5, and 7 were built bya North American (NA) group, and those for octants 2,4,6, and 8 were built by a French (FR)group corresponding to the different makes of the various detectors. The signals from all scintillatorPMT anodes go first to a patch panel in Hall C through 36 m RG58 cables then are routed to theelectronics counting room through 107 m RG8 cables for reduced attenuation.80Figure 2.28: From [105]. Count rate per neutron as a function of distance from the center of thephoto-sensitive window across the face of the tube for the borosilicate window 5” tube (black solidsquares), the 2” quartz window tube (red filled circles), and the 2” lime-glass window tube (greenfilled triangles). The quartz and lime- glass window tube data are scaled up by a factor of 20 forthe open symbols, connected by dot-dashed lines.For the backward angle experiment, the signals from the FPDs are put in coincidence withsignals from the CEDs. The trigger signal is generated by first ORing together the signals fromall FPDs and, separately, all CEDs in a given octant, then ANDing these combined signals withina 8 ns window. A logic board then identifies which separate detectors fired during a triggeredevent. Events triggered from a single CED and FPD coincidence are the primary contribution andallow for a separation between the elastic and inelastic electrons. The Cˇerenkov detectors serveas the signal for the scattered electrons, but do not generate a signal from background pis. Thesignal (a majority logic signal of multiple tubes) from the Cˇerenkov detector therefore acts as theenable for the coincidence logic. The coincidence rate is typically on the order of 100 kHz. Therequired coincidences are performed in custom electronics using programmable logic devices (Fig.812.29). Again, different implementations were adopted for the NA and FR octants, and each aredetailed separately below. However, in both cases each octant is independently triggered and thesignals from the MT signals, coincidence logic, and Cˇerenkov boxes are recorded by Grenoble 32-bitlatching scalers for the primary analysis. The meantimed signals from the individual CEDs andFPDs are also recorded by Fastbus timing electronics. The scalers are readout and cleared for eachMPS. Figure 2.29: Basic timing diagram of signals in the coincidence board. A trigger, CED, and FPDcoincidence latch a 15 ns signal which is sent to the scalers. If this signal is in coincidence with the20 ns Cˇerenkov logic signal the signal is sent to the electron counters otherwise it goes to the pionelectronics.North AmericanFor each of the four North American octants, separate common fraction discriminators (CFDs)and meantimer (MT) modules provide signal conditioning for the pairs of PMTs on each scintillatordetector (Fig. 2.30) [106]. The outputs of the CED and FPD meantimer modules are split and onecopy is sent to the Grenoble 32-bit latching scalers for monitoring and recording while the othercopy continues to the main logic board. This board performs the timing coincidence between theCEDs and FPDs, determines if a multiple hit (MH) event (more more than one CED and one FPDfiring in coincidence) occurred, and performs the coincidence logic between the CEDs and FPDs.An ALTERA programmable logic device (PLD) performs these logic functions. The CED-FPDcoincidence information, for events without multiple hits, is encoded into one 8-bit word and senton the crate back plane to a set of three custom boards which decode this information.82In addition to this 8-bit word, one bit (MH) indicating the existence of a multiple hit event,and all CED and FPD singles events which had the correct timing, are sent on the back planeto another custom board which uses another ALTERA programmable logic device to perform acoincidence between the CED and FPD correct-time singles events with the multiple hit signalwhich are need for deadtime calculations. The output signals from this PLD are sent to the scalersfor recording.The 8-bit word containing the CED-FPD coincidence information is taken from the back planeby the three custom decoder boards, latched to avoid extra timing jitter, and compared againstCˇerenkov signal to release the information through the latch. The 8-bit word is then decoded intoindividual CED-FPD coincidence signals, which are sent to the scalers for recording. A delayedversion of the trigger then clears the latch. To accommodate the four NA octants, a custom cratewith 4 separate 5 slot back planes is used.                Figure 2.30: NA Electronics Schematics83FrenchThe FR electronics (Fig. 2.31) [106] used sections of the modules developed for the forwardangle measurement. The custom DMCH modules used for the forward angle measurement performboth the signal discrimination and meantiming for the CED and FPD signals. The signals from theDMCH modules are used for the coincidences counting between the CED and the FPD detectors.These coincidence signals are enabled by the Cˇerenkov signal corresponding to the detection ofelectrons. They are used to input signals to the ALTERA chips described above. Individual countsincluding the Cˇerenkov validation (or not) and counting associated with multihits, where more thanone (FPD or CED) detector is hit, are recorded. This information, as in the North American case,is used for both the actual rate measurements as well as corrections associated with the deadtimelosses and random coincidences.84Figure 2.31: FR Electronics Schematics85Chapter 3AnalysisThis chapter describes the analysis procedure for attaining the physics asymmetries, used todetermine the strange form factors of the proton, from the raw values measured directly by theelectronics described in Chapter 2. The uncertainties associated with each analysis step are alsoreported and are typically divided into point-to-point (affecting a since data set in an uncorre-lated fashion) and global (correlated uncertainties amongst data sets) systematic contributions(see Appendix A).3.1 G0 Analysis softwareThe scaler and timing electronics described in Chapter 2 are readout and stored for every MPS.The raw counts are combined with the helicity data and MPS averaged beam parameters to formthe raw asymmetry values on a quartet by quartet basis. The results are available online for qualitymonitoring and are also stored in ntuples and histograms for oﬄine analysis. This data is also usedto calculate corrections on a quartet by quartet basis to account for rate related electronic andhelicity correlated beam effects. The run averaged values are output to a MySQL database to forma more portable data set for additional oﬄine analysis tasks. The details of the analysis processfrom measured MPS values to the final averaged physics asymmetries are provided in this chapter.3.1.1 CODADuring running, the raw output from the G0 electronics is handled and stored using the JeffersonLab interface known as CODA (CEBAF On-line Data Acquisition), Figure 3.1 [107]. In this scheme,embedded ”Readout Controllers” or ”ROCs” read out the components of a detector including thesingles rates from all detector phototubes, the mean-timed rates of all paired detector phototubes,86the Cˇerenkov phototube rates, and the coincidence rates for all CED/FPD pairs with or withouta Cˇerenkov enable signal in coincidence.Figure 3.1: DAQThe data is buffered in the controller and when enough data has accumulated it is transmittedover the network. Since the data for a particular event is spread over data streams from severalembedded controllers, it is necessary to merge the data streams. This function is performed by the”Event Builder” (EB) which caches incoming buffers of events from the different controllers andmerges the data streams which were taken concurrently in time (i.e. belongs to the same ”event” inthe detector). The event builder also formats the outgoing data stream and provides some measureof flow control to incoming and outgoing data.Run starting and stopping was handled via RunControl, the main graphical user interface(GUI) for CODA. This GUI provided the flexibility to quickly switch hardware configurationsand presented various system vitals including among others the event rates of various electronicssystems. G0 production runs were typically 1 hr long to allow for stable running conditions andthe creation of data files with a size small enough to handle.The CODA system also provided the ability to monitor the the data in realtime. This was done87using a GUI and ROOT [108] scripting which output histograms of yield and asymmetries amongother important experiment vitals to the control computer screen.3.1.2 g0analysis and mySQL DatabaseThe raw DAQ output generated by CODA is next replayed by a custom C++/ROOT analysispackage [109]. This package calculates all detector and beam data on a MPS-by-MPS basis aswell as helicity-correlated values including the detector asymmetries and helicity correlated beamparameters for each QRT. These values are accumulated in histograms for oﬄine analysis and themean and error values for each run are output to a mySQL [110] database (the structure of whichcan be seen in Figures 3.2 and 3.3). These run averaged values are used to perform the averagingover the entire set of runs in addition to other oﬄine analysis tasks, many of which will be describedbelow. Slow controls such as the settings of the high voltage, target temperature, and SMS currentare also read in from the JLAB EPICS system and stored to the database with the other runaveraged values.BlindingIn order to avoid a biased analysis of the asymmetry data, a random multiplicative blindingfactor, b, in the range of 0.75 - 1.25 is applied to all asymmetries and their associated uncertaintieswritten to histograms, ntuples, or the database asAblinded = Aactual ∗ b. (3.1)A separate value was generated for each target and energy combination. The values were generatedrandomly from a seed which is stored in the database. The data were kept blinded until allcorrections to the raw asymmetries were finalized. The data was unblinded at a meeting open toall collaborators. The blinding factors for each data set are shown in Table 3.1.Data Quality CutsThe data quality of all production runs are tagged manually by the shift takers on duty todetermine the initial state of the beam. The runs which have been labeled as “good”, indicating88calibrations+calibration_id: INT UNSIGNED AUTO_INCREMENT-first_run_id: INT UNSIGNED-last_run_id: INT UNSIGNED time: DATETIME comment: TEXT-monitor_calibration_id: INT UNSIGNEDrun+run_id: INT UNSIGNED AUTO_INCREMENT run_number: INT UNSIGNED run_type: TEXT good_for: SET data_quality: SET("good", "bad", "junk", "spiky") start_time: DATETIME end_time: DATETIME n_mps: INT UNSIGNED n_qrt: INT UNSIGNED n_fastbus: INT UNSIGNEDanalysis+analysis_id: INT UNSIGNED AUTO_INCREMENT-run_id: INT UNSIGNED time: DATETIME-calibration_id: INT UNSIGNED-cut_id: INT UNSIGNED-deadtime_rates_id: INT UNSIGNED n_mps_good: INT UNSIGNED n_qrt: INT UNSIGNED first_event: INT UNSIGNED last_event: INT UNSIGNED segment: INT slope_calculation: ENUM("on", "off") slope_correction: ENUM("on", "off") seed_id: INT UNSIGNED bf_checksum: TEXT beam_mode: ENUM(’nbm’,’cp’) tscfg: TEXT fb_setup: TEXT+na_dt: TEXT+fr_dt: TEXT+na_rd: TEXT+french_rd: TEXT+na_e_pi: TEXT+french_e_pi: TEXT+yield_cut: ENUM("on", "off")+high_yield_cut: INT UNSIGNED+low_yield_cut: INT UNSIGNED+analyzer_version: TEXT+NCD_correction_number_mps: INT UNSIGNEDmonitors+monitor_id: INT UNSIGNED AUTO_INCREMENT quantity: TEXT title: TEXTmonitor_calibrations+monitor_calibration_id: INT UNSIGNED AUTO_INCREMENT-run_id: INT UNSIGNED-first_run_id: INT UNSIGNED-last_run_id: INT UNSIGNED time: DATETIME comment: TEXTmonitor_calibration_data+monitor_calibration_data_id: INT UNSIGNED AUTO_INCREMENT-monitor_calibration_id: INT UNSIGNED-monitor_id: INT UNSIGNED gain: FLOAT offset: FLOATmonitor_slopes+montor_slope_id: INT UNSIGNED AUTO_INCERMENT-analysis_id: INT UNSIGNED-monitor_id: INT UNSIGNED-monitor_slope_type_id: INT UNSIGNED n_mps: INT UNSIGNED value: FLOAT error: FLOATmonitor_slope_types+monitor_slope_type_id: INT UNSIGNED AUTO_INCREMENT monitor_slope: TEXT units: TEXT title: TEXTcerenkov+cerenkov_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED octant_id: INT UNSIGNED-pmt_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATcuts+cut_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED time: DATETIME comment: TEXTcuts_data+cuts_data_id: INT UNSIGNED AUTO_INCREMENT-cut_id: INT UNSIGNED-monitor_id: INT UNSIGNED min: FLOAT max: FLOATmeasurement_types+measurement_type_id: CHAR(4) units: TEXT title: TEXTcoincidence+coincidence_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-c_detector_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATbeam+beam_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-monitor_id: INT UNSIGNED-measurement_type_id: CHAR(4) value: FLOAT error: FLOATc_detectors+c_detector_id: INT UNSIGNED AUTO_INCREMENT octant_id: INT UNSIGNED ced_id: INT UNSIGNED fpd_id: INT UNSIGNED particle: ENUM("pi", "e") make: ENUM("na", "fr")singles_ced+single_ced_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-s_ced_detector_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATs_fpd_detectors+s_fpd_detector_id: INT UNSIGNED AUTO_INCREMENT octant_id: INT UNSIGNED fpd_id: INT UNSIGNED particle: ENUM("pi" , "e") conditon: ENUM("ncdc" , "cdc", "dc") make: ENUM("na", "fr")multihits_ced+multihit_ced_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-mh_ced_detector_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATmh_ced_detectors+mh_ced_detector_id: INT UNSIGNED AUTO_INCREMENT octant_id: INT UNSIGNED ced_id: INT UNSIGNED particle: ENUM("pi", "e") condition: ENUM("1", "2") make: ENUM("na", "fr")locus+locus_id: INT UNSIGNED AUTO_INCREMENT-first_run_id: INT UNSIGNED-last_run_id: INT UNSIGNED min_run_id: INT UNSIGNED max_run_id: INT UNSIGNEDlocus_data+locus_data_id: INT UNSIGNED AUTO_INCREMENT-locus_id: INT UNSIGNED-c_detector_id: INT UNSIGNED-locus_type_id: INT UNSIGNED type: ENUM("elastic", "inelastic", "background")slopes+slope_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-c_detector_id: INT UNSIGNED-slope_type_id: INT UNSIGNED n_mps: INT UNSIGNED value: FLOAT error: FLOATslope_types+slope_type_id: INT UNSIGNED AUTO_INCREMENT slope: TEXT units: TEXT title: TEXTmatrix_sums+matrix_sum_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED octant_id: INT UNSIGNED-measurement_type_id: INT UNSIGNED-locus_type_id: INT UNSIGNED particle: ENUM("pi", "e") n_qrt: INT UNSIGNED value: FLOAT error: FLOATs_ced_detectors+s_ced_detector_id: INT UNSIGNED AUTO_INCREMENT octant_id: INT UNSIGNED ced_id: INT UNSIGNED particle: ENUM("pi" , "e") conditon: ENUM("ncdc" , "cdc", "dc") make: ENUM("na", "fr")singles_fpd+single_fpd_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-s_fpd_detector_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATmultihits_fpd+multihit_fpd_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-mh_fpd_detector_id: INT UNSIGNED-measurement_type_id: CHAR(4) n_qrt: INT UNSIGNED value: FLOAT error: FLOATmh_fpd_detectors+mh_fpd_detector_id: INT UNSIGNED AUTO_INCREMENT octant_id: INT UNSIGNED fpd_id: INT UNSIGNED particle: ENUM("pi", "e") condition: ENUM("1", "2") make: ENUM("na", "fr")bf_tests+bf_test_id: INT UNSIGNED-analysis_id: INT UNSIGNED test_number: INT UNSIGNED test_value: FLOATlocus_types+locus_type_id: INT UNSIGNED AUTO_INCREMENT locus: TEXT title: TEXTmatrix_sum_slopes+matrix_sum_slope_id: INT UNSIGNED AUTO_INCREMENT-analysis_id: INT UNSIGNED-octant_id: INT UNSIGNED-locus_type_id: INT UNSIGNED-slope_type_id: INT UNSIGNED particle: ENUM(’pi’,’e’) n_mps: INT UNSIGNED value: FLOAT error: FLOATseeds+seed_id: INT UNSIGNED AUTO_INCREMENT seed: TEXT comment: TEXTseed_ranges+seed_ranges_id: INT UNSIGNED AUTO_INCREMENT+first_run_id: INT unsigned+last_run_id: INT unsigned+seed_id: INT unsignedNCD_correction+NCD_correction_id: INT UNSIGNED AUTO_INCREMENT-ced_id: INT UNSIGNED-NCD_slope: float NCD_intercept: FLOATbad_octants_id+bad_octants_id: INT UNSIGNED AUTO_INCREMENT+bad_octant_type_id: INT UNSIGNED-run_id: INT UNSIGNED-octant_id: INT UNSIGNED comment: TEXT-monitor_calibration_id: INT UNSIGNEDbad_octant_types+bad_octant_type_id: INT UNSIGNED AUTO_INCREMENT bad_octant_type: TEXTdeadtime_data+deadtime_data_id: INT UNSIGNED AUTO_INCREMENT+deadtime_id: INT UNSIGNED+deadtime_type_id: INT UNSIGNED octant_id: INT UNSIGNED+value: floatdeadtime+deadtime_id: INT UNSIGNED AUTO_INCREMENT-first_run_id: INT UNSIGNED-last_run_id: INT UNSIGNEDdeadtime_types+deadtime_type_id: INT UNSIGNED AUTO_INCREMENT deadtime_type: TEXT title: TEXTFigure 3.2: Structure of the analysis database89Figure 3.3: Structure of the slow control database90Data Set Blinding Factor687 MeV H 1.23932687 MeV D 1.12257362 MeV D 1.09657362 MeV H 1.01295Table 3.1: Blinding factorsnormal beam conditions and fully functioning detectors are then subjected to additional dataquality cuts in g0analysis.Two of the most basic automated cuts are the minimal beam current cut and the zero quartetcut. For the minimal beam current test, a lower limit on the beam current is set tightly to the valuerequested from the accelerator in order to eliminate beam ramping events entering the data. Theserapid changes in beam current can induce significant false asymmetries which are undesirable.In addition to the beam current cut, quartets which have zero counts in either the raw, normal-ized or corrected states are eliminated. These lead to an ill defined asymmetry value. In scintillatorcoincident pairs which receive more than 10 count (all cells used in the primary analysis), this doesnot effect the averaging. Additional cuts on the signal quality from the detectors are also appliedbut affect only a small of the data leading to a reduction in counting statistics of <5%.Elastic data locusThe data for individual coincidence cells are recorded independently, but additionally a collec-tion of cells which are primarily sensitive to elastically scattered electrons are averaged over andtreated as a single quantity in both yield and asymmetry measurements. The selection of this locusof cells is guided by the background determinations described below. Cells which are determinedto have < 20% contribution from non-elastic electron backgrounds are included.Figures 3.4(a)-3.4(d) show the raw rates in each coincidence cell for all target/energy combina-tions. The elastic locus has been outlined in black on each matrix. Even with the coarse particletracking provided by the coincidence cells one can see the there are two distinct bands visible inthe 687 MeV data sets; the elastic band grouped in the upper right corner and inelastic eventswhich gather in the lower left hand corner.The yield over the entire locus is determined for each MPS, and asymmetries can be determined91for each quartet just like the single cell values. It is useful to gauge the quality of the data in aquick and automated way from these locus summed results. However, many corrections, includingbackground corrections, are determined for each cell on a run averaged basis so the final physicsasymmetries are made by performing a weighted average over the single cell run averaged valuesin the locus. These two methods of averaging give equivalent results as the correlations betweenmeasurements in each cell are minimal (the single cell rate and asymmetry distributions followcounting statistics to a high degree as described below). The elastic locus definition was identicalfor all eight octants except for octant 1 and 8 in which cells from CED 5 and 8 respectively werecut due to malfunctioning PMTs.(a) LH2 687 MeV (b) LD2 687 MeV(c) LH2 362 MeV (d) LD2 362 MeVFigure 3.4: Matrix plot of yield (Hz/µA) for each electron CED/FPD coincidence. The blackoutline represents the cells which were averaged over for the “elastic” measurement.923.1.3 Running PeriodsIn general the G0 backward angle data was analyzed according to the cryogenic target fluidand beam energy. However, changes to the Cˇerenkov phototubes (and with it the multiplicity ofthe enabble) and detector configuration led to 7 distinct running periods (Tables 3.2). For thefinal analysis, the three LD2 697 MeV set are averaged together after separate data corrections aremade.Targ. Energy Dates BC Runs Note NameH 687 MeV March/April 2006 55 µA 100 Unused LH2687aH 362 MeV July/August 2006 20 µA 475 LH2362H 687 MeV Sept/October 2006 60 µA 548 LH2687bD 687 MeV Nov/Dec 2006 20 µA 352* LD2687aM3D 687 MeV Dec 2006 20 µA 180* M2 Cer. Trig. LD2687aM2D 362 MeV Jan/Feb 2007 35 µA 648 M2 Cer. Trig. LD2362D 687 MeV March 2007 20 µA 332 M2 Cer. Trig. LD2687bM2Table 3.2: Summary of running periods. *For LD2687aM3 the number of runs were divided amongstoctants as 384 (Oct 1/8); 519 (Oct 2/6) ; 352 (rest) and similarly 148 (Oct 1/8); 13 (Oct 2/6) ;180 (rest) for LD2687aM2.3.2 Multi-pass Analysis StructureThe data were “replayed” with the “g0analysis” analyzer multiple times in order to correct thequartet to quartet yields and asymmetries (Fig. 3.5). The first pass through the data was used toapply the simple cuts described in Section 3.1.2 and establishes the raw means and widths for alldetector asymmetries, yields, and beam parameters in a given run. The second pass through thedata uses the means and widths of the yields established in pass one (and stored in the mySQLdatabase) to eliminate data more than 5 sigma away from the average yield values. This was donein order to address an issue with the scaler modules and will be addressed in more detail in Section3.2.2. The third pass through the data again applies the yield cut of pass 2 and in addition usesthe raw counting rates from the various detectors together with known parameters, such as gatewidths, of the electronics to correct for counts lost to deadtime as well as extra counts coming fromrandom coincidences between scintillators and the Cˇerenkov detectors. Additionally, sensitivities ofthe detector yield to the beam properties (positions, angles and charge) are calculated and stored93to the database during this pass. Pass four uses the sensitivity slopes determined in pass three tomake the helicity correlated beam property corrections to the asymmetries. The details of passesthree and four are explained in Sections 3.2.3 and 3.2.4.Following these passes, further corrections to the asymmetries are made outside of g0anlaysisat a run by run or entire run set level using the values stored in the database.Figure 3.5: Structure of the multi-pass analysis. Scaler yield correction (SYC), Linear regressioncorrection (LRC).3.2.1 Pass 1: Beam current, zero count cutsFor the first analysis pass of the data, two cuts are made establishing the “raw” yields; thebeam current cut and the zero quartet cut. The beam current cut sets upper and lower limit onthe accepted value of the beam charge per MPS (Table 3.3). This is done in order to avoid falseasymmetries that may be introduced from the beam rapidly turning on or off causing up to a 2.5%fluctuation in the target density and associated normalized rates; such excursions are not typical(<1% of data cut) as the beam was very stable during the major data production stage of theexperiment.94Beam Current Limit (µA)Target Energy (MeV) Low HighH 687 45 1000H 362 35 1000D 687 17 1000D 362 30 1000Table 3.3: Typical beam current limits for various running periods.In addition to the beam current cut, quartets which contain zero counts are also removed in pass1. This is done to both assure that asymmetry values are calculable and that the subsequent ratecorrections performed in pass 3 are well defined. The biasing effects of eliminating these zero countquartets were studied [111] by comparing multiple averaging schemes in addition to the typicalrunning average (which weights each quartet equally)Arun =1Nqrt∑jAj (3.2)used in the analyzer where Nqrt is the number of measured quartets and j is the quartet indexingnumber. A ratio of Arun toAsum =∑j YRj −∑i YLi∑j YRj +∑i YLi(3.3)where Y R(L) is the yield of a given MPS j(i) with a given helicity R(L) was compared as a functionof the average number of counts per quartet (Fig. 3.6) and the two method were found to agree tobetter than 97% when the counts/mps were > 10 (Fig. 3.6). This is essentially the limit in whichPoisson counting statistical become equivalent to gaussian statistics. For the cells in the elasticlocus the counts per mps were always > 100 during production running, leading to < 0.3% biasingeffects from the removal of zeros. More careful attention was paid to low current running and tocells in the low rate regions of the G0 counting matrix (see for example [112]).The run averaged asymmetry/yield values and widths are then written to the mySQL databasefor later use in subsequent analysis passes.95      Figure 3.6: The ratio of simulated asymmetry data generated by averaging quartets with a runningaverage (Arun) to asymmetries generated by summing common helicity state counts and formingthe asymmetry from the totals (Asum) versus the average counts in a given MPS. (cts: counts)Above 10 counts/mps the two methods agree.3.2.2 Pass 2: Raw yield cuts and scalers effectsThe raw asymmetry distributions generated in pass 1 are for the the most part normally dis-tributed about the measured mean. The primary electronics introduce small background distribu-tions (as in the case of the helicity correlated beam properties (HCBP) or random asymmetries) orcan simply scale the value (as in the case of electronics deadtime). In fact, the statistical quality ofthe asymmetry distributions was measured for each run using the ratio of the width of the distri-bution to that expected from the purely normal distribution based on the total number of counts.This value was call the ratio to counting statistics, RCSRCS =σAσcounting=σA√N. (3.4)For most of running it was found that this value was very near 1, however, from some lowenergy running on deuterium this ratio was found to be near 1.2 for the North American detectors,indicating some strongly non-statistical component to the asymmetry signal. After much investi-96gation it was determined that this effect was due to a deficiency in the Grenoble scaler counterscombined with a programming error in the coincidence logic chips [113].The maximum operating frequency of this scaler is 140 MHz. This means that two input signalsshould not arrive closer than 7.1 ns. In the presence of a high randoms coincidence rate, the onlyway to enforce this maximum frequency is to use signal widths of at least 10 ns on input of thescaler. This frequency limit was establish during testing in France as the time needed for all 32 bitsto properly set their state. However, all bits do not require the same amount of time to set and asa result narrow pulses arriving less than 7 ns apart cause a complicated pattern of unintended bitflipping, with lower order bits more heavily effected. A simulation of the french scaler module waswritten and compared against the output from an actual module being fed with a fast pulser withnarrow pulses. Figure 3.7 shows the comparison and indicates that the behavior of these electronicsare well understood.Counts (Hz)0 5000 10000 15000 20000 25000 30000 35000 40000 45000 50000#mps-110110210310 SimulDataFigure 3.7: Simulation of the RCS effect versus data from pulser.During running, this type of counting error was not present for the French coincidence electronicsor the final setup for the North American coincidence electronics after January 2007. Prior to that,the North American coincidence electronics were programmed to send the logical AND of theFPD, CED, and trigger (BPO) signals to the scalers. With the meantimers having widths ofapproximately 20 ns, this setup could lead to a series of narrow closely spaced signals reaching97the scaler modules, Figure 3.8, in the presence of very high trigger and the meantimer rates. Thiswas exactly the situation for 362 LD2 running which saw a largest pion rates and randoms fromneutrons during all running.Figure 3.8: Example of near timingThe effect of the scaler miscounting was to induce a non-statistical character (i.e. different fromcounting statistics) in both the measured yield and the asymmetry distributions. This is illustratedin Fig. 3.2.2 which shows the effect in both the yields and the asymmetry in the first column. Inorder to correct these data, events which are clearly not part of the main yield distribution wereeliminated from the analysis. Figure 3.2.2 show a series of cuts applied on the quartet yield atseveral sigma from the average of the primary distribution. It should be emphasized that no cuttingwas done on the asymmetries themselves. During the final analysis a 5 sigma yield cut was appliedto all yield data. It should also be noted that after January 2007 the North American coincidenceboards were reprogramed to latch following a good coincidence until the end of the trigger signal,eliminating any possibility of the scaler miscounting. The result of this is shown in Fig. 3.10 [114].The 5 sigma yield cut leads to a loss of ∼0.7% of the NA North American data during the worstrunning conditions being lost, and more typically less than 0.1% of the data was cut during runswhere this effect plays little role. This cutting method removes the majority of the effect relatedto these odd scaler events, however, residuals remain which can influence the measured asymmetryvalues. This residual effect was studied in [115]. The effect on the asymmetry, if one MPS in a98AµRate in kHz/0 0.2 0.4 0.6 0.8 1 1.2 1.4110210310410510, no cutseΦAµRate in kHz/0.7 0.8 0.9 1 1.1 1.2 1.3 1.4110210310410 σ, 6eΦAµRate in kHz/1 1.1 1.2 1.3 1.4110210310410 σ, 5 eΦAµRate in kHz/1 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45110210310410σ, 4 eΦeA-1 -0.5 0 0.5 1110210310410510, no cutseAeA-0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4110210310410σ, 6 eAeA-0.2 -0.1 0 0.1 0.2 0.3110210310410σ, 5 eAeA-0.2 -0.15 -0.1 -0.05 0 0.05 0.1 0.15 0.2110210310410σ, 4 eAFigure 3.9: Example of yield cut effect on the asymmetry for yield cuts at n sigma from themean. Top row: yield (note the non-Gaussian shape is due to scalar miscounting); Bottom row:asymmetries.quartet experiences a miscount, is to shift the true asymmetry by an amountAshift = −∆N4N = −n2σqrtstat. (3.5)where ∆N = nσMPSstat is the unintended counting change to one MPS, σqrtstat =1√4Nis the widthof the primary asymmetry distribution from counting, σMPSstat =√N is the width of the mpsyield distibution and n characterizes how far away from the mean the shift moves the reportedasymmetry. The sign of this asymmetry shift is dependent on the helicity of the affected MPS.On average the measured asymmetry can be written (exactly)Ameas = (1− p+ − p−)Aphys + p+(Aphys +Ashift) + p−(Aphys −Ashift) (3.6)where p± is the helicity dependent probability for encountering a “bad” MPS, Ameas is the measuredasymmetry, and Aphys is the actual desired physics asymmetry. The probability, p±, is related to99AµRate in kHz/0 0.2 0.4 0.6 0.8 1 1.2 1.4110210310410510, no cutseΦeA-1 -0.5 0 0.5 1110210310410510, no cutseAAµRate in kHz/1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45110210310 after fixeΦeA-0.15 -0.1 -0.05 0 0.05 0.1 0.15110210310 after fixeAFigure 3.10: Comparison of NA asymmetry before and after electronics fix for an example coinci-dence cell.the ratio α of bad MPS to good MPS which are not rejected by the cut described above asp± =α2(1±Aphys) (3.7)(the largest asymmetry in the measurement is, in fact Aphys) which in turn allows us to write thefalse asymmetry induced by the remaining “bad” scaler events as∆Ares = Ameas −Aphys = −αn2 σqrtstatAphys. (3.8)For the elastic locus, α was determined to be∼1% and with the widths of the measured asymmetries∆Ares is found to be 0.06% of Aphys. At this level, no additional correction is made to the data toaccount for this residual effect, however 100% of ∆Ares is applied to the systematic uncertainty of100the final reported results.Raw AsymmetriesAfter the application of the scaler yield cuts, the raw uncorrected asymmetries are obtained.For each data set more than 6 ∗ 107 quartets were collected. An example of the statistical qualityof the data set is shown in Figures 3.11, 3.12, 3.13 and 3.14. Both IHWP states are presentedindependently to show the consistency between these two measurement. These distributions set thestatistical precision with which the final measurement can be determined, which in fact dominatesthe uncertainty of the final extracted form factors.Figure 3.11: 684 MeV LH2: The asymmetry histograms are shown for a large sample of quartets.The insertable half-waveplate (IHWP) flips the sign of the asymmetry when inserted. Both IHWPIN and OUT states are shown along with a Gaussian fit (dashed colored line) to illustrate thestatistical quality of the measurement. In the worst case, the tails on the data shift the mean atthe level of a few ppb.Figure 3.12: 684 MeV LD2: The asymmetry histograms are shown for a large sample of quartets.101Figure 3.13: 359 MeV LH2: The asymmetry histograms are shown for a large sample of quartets.Figure 3.14: 359 MeV LD2: The asymmetry histograms are shown for a large sample of quartets.3.2.3 Pass 3: Electronics Rate CorrectionsAfter the good raw quartets are determined and studied through pass 2, the electronic ratecorrections are applied on a quartet by quartet basis in pass 3. In general, there are two competingelectronic rate effects that are accounted for. The first is ordinary deadtime in the electronics chain.This is simply accounting for counts that are missed due to busy electronics. The deadtime is wellunderstood as the time that each piece of electronics takes to process is set by the signal length[116, 117]. The fraction of time that a given channel is “dead” for and incoming signal is given byDT = 1− e−τ ·R ∼ τ · R (3.9)102where DT is the deadtime fraction, τ is the deadtime and R is the rate of the signal into thegiven electronics. Following from the signals that are used to form the coincidence signals, themain contributions to the deadtime are from the mean timers (MT), discriminators (CFD) and thetrigger (Trig), and in general leads to a simple deadtime expression ofeCoincmeasi,j = eCoinccorr,DTi,j · (1−DTCFDi) · (1−DTMTi) · (1−DTCFDj) · (1−DTMTj)·(1 −DTTrig) · (1−MH22i,j) · (1−MH12i,j) (3.10)where eCoincmeasi,j is the measured electron coincidence rate, eCoinccorri,j is the actual correctedrate, and i,j are represent the FED, CED detector which fired respectively, MH12 (multihit12) isthe fraction of events where two of the scintillators in a given array fire in coincidence with a singledetector from the other array and MH22 is the fraction of events where two of the scintillators ineach array fire together.The second type of rate correction comes from random coincidence between signals which occurclose in time but are not due to detection of the same particle. There are two random coincidenceeffects that must be accounted for, random CED/FPD coincidences that look like ordinary signals,and random Cˇerenkov firing that puts rate from a non-electron particle into the electron electronics.The first correction was found in the worst case, 362 LD2, to be ∼25%. This correction was notapplied on a quartet by quartet basis but its magnitude was estimated and used to correct the finalaveraged asymmetry values as part of ARDMres shown in Table 3.5. Real CED/FPD coincidencescombined with accidental Cˇerenkov signals were either measured directly in the “pion” electronicsby pushing the timing gates several tens of ns out of synchronization (“randoms mode”) or werecomputed in the analysis code from the measured pion and Cˇerenkov rates. The correction to theyield in each case was made aseCoinccorri,j =(eCoinccorr,DTi,j + piCoinccorr,DTi,j ) ·RdmCer2 − eCoinccorr,DTi,j1−RdmCer2 −DTCer(3.11)oreCoinccorri,j =(eCoinccorr,DTi,j + rCoinccorr,DTi,j ·RdmCer2RdmCer1)1−RdmCer1 −DTCer(3.12)103where Equation 3.11 is for the electronics in pion mode and Equation 3.12 is for randoms mode,eCoinccorri,j is the final corrected coincidence yield, piCoinccorri,j is the final corrected coincidence pionyield, rCoinccorri,j is the final corrected randoms yield, and RdmCer1/RdmCer2 are the Cˇerenkovrandoms uncorrelated/correlated with the coincidence trigger signal.Both effects above can be combined into a single expression written aseCoincmeasi,j = [eCoinccorr,DTi,j (1−DTCFDi)−DTMTi)(1−DTCFDj)−DTMTj )+eCoincrandi,j ](1−DTTrig −MH22i,j) · (1−MH12i,j) (3.13)where several of the higher oder effect in Eq. 3.12 have been removed and eCoincrandi,j representsthe additive randoms term shown in detail in Eq. 3.12. The deadtime and accidental effectshave opposite consequences for the measured rate as a function of beam current (Fig. 3.15).With increasing beam current, deadtime effects reduce the the measured normalizes yields, whilerandom effects increase the measured normalized yields. The slope of the normalized rate versusbeam current is determined by a combination of the two effects. Depending on the specified runningconditions and cell in the coincidence matrix either process may dominate.These corrections are applied cell by cell on beam normalized rates for every mps and a correctedasymmetry for the associated quartet is obtained. To study the systematics of this correction, theindividual contributions at to the measured asymmetry can then be expressed asAmeas = Atrue +∆ASingle +∆ATrig +∆AMH12 +Acontamsystem (3.14)where Atrue is the true physics asymmetry, and Ameas is the measured asymmetry value. The104correction from singles effects along with random coincidence corrections is∆ASingle = −frandADTcorr−(1− frand)( DTcedMT1−DT cedCFD −DT cedMTA(DT cedMT )+DT cedCFD1−DT cedCFD −DT cedMTA(DT cedCFD)+DT fpdMT1−DT fpdCFD −DT fpdMTA(DT fpdCFD)+DT fpdCFD1−DT fpdCFD −DTMTMTA(DT fpdCFD))+(frand)Arand, (3.15)with frand the random coincidence fraction (zero for the electron measurement inside of g0analysis),A(DT ced/fpdMT )/A(DTced/fpdCFD ) the meantimer/CFD asymmetry from deatime, and Arand the asym-metry from CED/FPD randoms. ADTcorr is the complete deadtime corrected coincidence asymme-try. The asymmetry correction from the trigger electronics is∆ATrig = − DTTrig1−DTTrig −MH22A(DTTrig)−MH221−DTTrig −MH22A(MH22), (3.16)with A(DTTrig)/A(MH22) the trigger DT and MH22 asymmetry. The multihit12 contribution is∆AMH12 = A(1−MH12), (3.17)and Acontamsystem is the Cˇerenkov randoms correction from pions being falsely identified as electrons anddominate for the deuterium measurement. The size of each of these corrections is shown in Table3.4 along with the associated uncertainties [116, 117].After the deadtime and randoms corrections have been applied, unaccounted for higher orderdeadtime effects and somewhat more significant randoms residuals are still present. Figure 3.15shows the measured (blue) and corrected (red) elastic rates for two cells that demonstrate both awell corrected cell and the worst case residual. Extrapolation to the zero current limit gives thetrue values absent rate effects. Table 3.5 shows the effects of the residual correction from both the105Ameas ASingle ATrig AMH12 Asystcontam Atotsysta.i. 8.3591 ± 0.8117 -0.0144 ± 0.0016 -0.1745 ± 0.0021 -0.1107 ± 0.0034 -0.0027 ± 0.0376 -0.3040 ± 0.0379a.o. -11.0175 ± 0.8380 0.0037 ± 0.0017 0.1900 ± 0.0022 0.0851 ± 0.0036 -0.0052 ± 0.0390 0.2582 ± 0.0392b.i. 44.0498 ± 2.9288 -0.0058 ± 0.0021 -0.1154 ± 0.0017 -0.0688 ± 0.0053 -0.9959 ± 0.1640 -1.1897 ± 0.1641b.o. -47.4462 ± 2.8033 0.0076 ± 0.0020 0.1281 ± 0.0016 0.0764 ± 0.0051 0.8812 ± 0.1573 1.0845 ± 0.1574c.i. 37.1536 ± 7.5210 -0.0004 ± 0.0057 -0.1093 ± 0.0044 -0.1384 ± 0.0191 -0.4530 ± 0.6697 -0.7366 ± 0.6700c.o. -43.9244 ± 6.4785 0.0063 ± 0.0049 0.1016 ± 0.0038 0.0877 ± 0.0165 0.5687 ± 0.5854 0.7839 ± 0.5857d.i. 13.7828 ± 0.8532 -0.0143 ± 0.0020 -0.2584 ± 0.0028 -0.1475 ± 0.0051 -0.3590 ± 0.1981 -0.7619 ± 0.1982d.o. -15.8797 ± 0.8737 0.0092 ± 0.0020 0.2497 ± 0.0028 0.1375 ± 0.0052 0.3958 ± 0.2145 0.7843 ± 0.2146e.i. 38.3347 ± 4.3703 -0.0094 ± 0.0025 -0.0891 ± 0.0031 -0.0558 ± 0.0065 -4.4857 ± 1.8645 -4.6409 ± 1.8645e.o. -43.2201 ± 5.2456 0.0031 ± 0.0031 0.0626 ± 0.0038 0.0377 ± 0.0080 8.0601 ± 2.1743 8.1540 ± 2.1743f.i. 39.8650 ± 4.6953 -0.0053 ± 0.0025 -0.1007 ± 0.0030 -0.0558 ± 0.0065 -2.7965 ± 1.7740 -2.9619 ± 1.7740f.o. -45.8315 ± 4.2360 -0.0004 ± 0.0023 0.0784 ± 0.0029 0.0406 ± 0.0062 7.2656 ± 1.5978 7.3943 ± 1.5978Table 3.4: Deadtime contributions from analyzer routine. a)LH2362 b)LH2687a c)LH2687b d)LD2362 e)LD2687a f)LD2687b with i/orepresenting the in and out state of the IHWP.106(a) CED 9 FPD 4 (b) CED 9 FPD 16Figure 3.15: Measured rates in Hz/µA as a function of beam current in µA before and after ratecorrections.singles, ADTres , which is treated as an uncertainty on the final value, and the randoms ARDMres on thefinal asymmetries. ARDMres includes the CED/FPD randoms contributions and residual Cˇerenkoveffects. This random residual is subtracted from the corrected values to obtain the final asymmetryvalues [116, 117]. The size of these effects on the final systematic uncertainties will be summarizedin Sec. 3.4.Target Energy IHWP ARDMres ADTresH 362 in 0.000630 ± 0.002357 0.0598 ± 0.0037out 0.006989 ± 0.002505 -0.0677 ± 0.0039H 687 in -0.149871 ± 0.024309 0.0582 ± 0.0074out 0.148692 ± 0.023672 -0.0762 ± 0.0072H(Apr) 687 in -0.609012 ± 0.225605 0.0000 ± 0.0016out 0.956066 ± 0.238122 0.0000 ± 0.0013D 362 in -0.038896 ± 0.007305 0.0228 ± 0.0025out 0.044397 ± 0.007716 -0.0418 ± 0.0025D(Mar) 687 in -0.350286 ± 0.083535 0.0072 ± 0.0020out 0.391399 ± 0.096918 -0.0099 ± 0.0025D(Nov) 687 in -0.270101 ± 0.101882 -0.0016 ± 0.0015out 0.427925 ± 0.142798 -0.0005 ± 0.0014Table 3.5: Deadtime residuals in ppm.107Wells plotsAs a test of the deadtime routine, runs with an intentionally large charge asymmetry were taken[117]. Figure 3.16 shows a plot of the detector asymmetry as a function of induced beam chargeasymmetry, Aq, for both a North American and a French detector set from LD2 with 362 MeVbeam energy. The various colors represent the asymmetry after various levels of correction; redshows no correction, green shows corrections for only deadtime effects and blue shows the combineddeadtime and randoms correction.           (a) French Octants           (b) North American OctantsFigure 3.16: Wells plots: Detector coincidence asymmetries as a function of induced charge asym-metry for the raw, DT alone, and total rate correction.In an ideal situation the complete correction would correct all the detector asymmetries tothe same value regardless of Aq (Note: for production running the average value of Aq is lessthan 1 ppm). However, any residual slope again gives one a characterization of the systematicuncertainties in the correction. Additionally, a linear regression correction, described in Sec. 3.2.4,further corrects these small residuals.3.2.4 Pass 4: Helicity Correlated (HC) Beam Properties CorrectionsAs mentioned in Section 2.1.4, helicity-correlated fluctuations in various beam parameters causefalse asymmetries, Eqn. 2.6. The responses of the detector yield to these fluctuations are assumed108to be linear. Therefore, the true yield on the detectors can be related to the measured yield as alinear combination of the beam parameter variations.Ymeas = Ycorr + ΣidYdPiPi (3.18)where Ycorr is the true yield, and Pi is the change in one of the 6 beam parameters monitoredfor helicity-correlation. The corrected asymmetry is accordingly obtained by adjusting the themeasured asymmetry, in this case the rate corrected values, for the false asymmetries induce bythe yield response shown above asAcorr = Ameas +Afalse ≈ Ameas + 12 < Y >ΣidYdPiδPi (3.19)where δPi is the HC difference in the beam parameter. The overall HC differences in the beamparameters are shown in Table 2.1.6 in the experimental apparatus chapter. The slopes werecalculated using both natural beam motion (NBM) and coil pulsing (CP) [96]. Additionally, theposition slopes were also calculated using a GEANT based monte carlo simulation which validatesthe extremely small false asymmetries seen in the backward angle experiment.The calculation of the slopes from data use a standard multiple linear regression technique,taking into account the correlations between the 6 beam parameters and the yields as well asbetween the 6 beam parameters themselves. The slopes can be calculated from(< δY ∗ dPi >) = (< dPi ∗ dPj >)dYdPi (3.20)where < δY ∗ dPi > represents the covariance between the yields and the beam parameters, while< dPi ∗ dPj > is a 6x6 matrix representing the correlation between the beam parameters. It usefulto re-write the covariance terms in term of values recorded by the analysis software as< δY ∗ dxi >=< Y ∗ xi > − < Y >< xi > (3.21)< dxi ∗ dxj >=< xi ∗ xj > − < xi >< xj > . (3.22)109For each run, the 4 mean values in Eq. 3.21 and 3.22 can be calculated. Once the covariance termsare calculated, the slopes can be determined from an inversion of the 6x6 matrix in Eq. 3.20.Since the slopes cannot be determined until the mean values in Eq. 3.22 are calculated, thefinal linear regression correction, performed in analysis pass 4, uses the slopes which are determinedin pass 3 and stored in the mySQL database. The slopes from pass 4 are also calculated to verifythey are consistent with zero after the linear regression correction is applied. The corrections tothe yields are done on an MPS by MPS basis independent of the quartet structure or the helicitystate of the yield being corrected (i.e. on a helicity-averaged basis).Because the spectrometer is azimuthally symmetric, diametrically opposite octants have sensi-tivities to beam position and angle that are equal and opposite in sign. This characteristic can beseen clearly when the slopes from are plotted against octant as in Figure 3.17 [118]. The chargeslopes see a small NA vs FR detector dependence due to the differing deadtime corrections appliedto the two sets of electronics as mentioned above.This azimuthal symmetry suppresses the false asymmetry contribution to the experiment whenthe slopes are averaged over all octants. By combining the measured parity quality parameters ofthe beam with the octant-summed slopes as in Eq. 3.19, the small false asymmetry induced by theHC beam parameters can be corrected.The slopes and false asymmetries of each beam parameter for each data set are shown in Tables3.6 and 3.7 for the average over the elastic locus and all 8 octants, along with the associatedstatistical uncertainties. For the final correction, a 30% systematic uncertainty is assigned tothe total correction to account for noise effects which were studied in detail. The largest linearregression corrections over the elastic locus is about -0.3 ppm, with the final correction valuesshown for all data sets in Table 3.8 [119]. These corrections, as well as their contributions to theoverall uncertainty, of the measured asymmetries are small compared to statistical uncertainties.3.2.5 SummaryThe 4 pass analysis described above includes all the corrections which are made to the dataon a MPS or quartet level in g0analysis and the asymmetries form this final pass are used forthe final physics values. The run averaged asymmetries resulting from these individual passes are110(a) x slopes sim (b) y slopes sim(c) x slopes dataFigure 3.17: Simulated x (a) and y (b) slopes over the elastic locus as a function of octant for LH2687 MeV running. Data on x slope from 362 LH2 shown in (c).also used to perform additional corrections which will be described in the later sections of thischapter. Figures 3.18 and 3.19 show the elastic electron asymmetry averaged over all runs in agiven data set for each octant, IHWP and pass. A summary of the effects on the asymmetryfor each analysis pass described above is provided in Section 3.4 with the effects on the dilutioncorrected asymmetry values shown in Table 3.25. The consistency between the IHWP state andthe North American/French built octants illustrates the quality of the data.111Pass 3 ValuesLD2 362 Slope (%/δxi) False Asymmetry (ppm)q -0.0009091 ± 0.0000084 0.00066 ± 0.00019x -0.0471 ± 0.0059 0.00097 ± 0.00085y 0.0097 ± 0.0059 0.00013 ± 0.00053θx 0.37 ± 0.13 -0.0010 ± 0.0014θy 0.52 ± 0.10 0.0010 ± 0.0012E 0.336 ± 0.037 0.0025 ± 0.0012Total 0.0042667 ± 0.002422LH2 362 Slope False Asymmetryq -0.0000606 ± 0.0000032 -0.00031 ± 0.00012x 0.0631 ± 0.0017 -0.00126 ± 0.00074y -0.8200 ± 0.0016 0.00095 ± 0.00050θx 0.939 ± 0.027 -0.00096 ± 0.00049θy 0.21 ± 0.02 0.00072 ± 0.00041E 0.0775 ± 0.0068 0.00017 ± 0.00023Total -0.0006865 ± 0.001126Table 3.6: 362 MeV final slope and false asymmetry values from the HCBP linear regression. Slopesare shown as yield %/δxi with δxi in units of ppm, nm, nm, nrad, nrad, eV.3.3 Oﬄine Run Averaged AnalysisFollowing the four pass analysis described above, additional corrections including physics back-ground, beam polarization and radiative corrections are made. These corrections rely on a combi-nation of monte carlo simulation, modeling, and supplemental measurements. A description of thevarious techniques and systematic effects on the asymmetries is provided in this section.3.3.1 Monte carlo SimulationsFor the most part, the systematic corrections applied to the measure asymmetries come formmeasured quantities. The measurements needed to apply the corrections described in this chapterwere either taken simultaneously with the primary measurement or in short supplemental runningperiods. The uncertainties in the systematics of the experiment are, in this way, dominated byexperimental input. However, Monte carlo simulations were a primary tool used through the entireoﬄine analysis process to validate the methodology of the asymmetry correction and estimate thefew values (such as pi0 decay rates as a background) which could not be directly measured.G0GEANT, a custom FORTRAN package based on GEANT3, was used as the primary sim-112Pass 3 ValuesLD2 687a Slope False Asymmetry (ppm)q 0.000851 ± 0.000067 0.00001 ± 0.00032x 0.177 ± 0.020 -0.0160 ± 0.0081y 0.0046 ± 0.0076 -0.0009 ± 0.0015θx -2.00 ± 0.24 0.0250 ± 0.0077θy 0.16 ± 0.11 0.0010 ± 0.0017E 0.036 ± 0.025 0.0015 ± 0.0035Total 0.01051 ± 0.01196LD2 687b Slope False Asymmetryq -0.000095 ± 0.000085 -0.00001 ± 0.00032x 0.383 ± 0.036 -0.0075 ± 0.0090y 0.176 ± 0.015 0.0006 ± 0.0045θx -9.86 ± 0.81 -0.0027 ± 0.0077θy -2.80 ± 0.36 -0.0059 ± 0.0071E -0.063 ± 0.034 0.0023 ± 0.0023Total -0.0132 ± 0.014696LH2 687a Slope False Asymmetryq -0.003422 ± 0.000032 -0.00035 ± 0.00053x 0.189 ± 0.025 -0.0037 ± 0.0086y -0.0916 ± 0.027 0.0061 ± 0.0049θx -12.00 ± 0.59 -0.0097 ± 0.0034θy 7.97 ± 0.31 -0.0034 ± 0.0066E 0.19 ± 0.21 -0.0053 ± 0.0056Total -0.0163016 ± 0.01363LH2 687b Slope False Asymmetryq 0.000286 ± 0.000014 -0.00010 ± 0.00023x -0.2045 ± 0.0074 0.00045 ± 0.00078y -0.0519 ± 0.0022 -0.00044 ± 0.00045θx 1.72 ± 0.10 -0.0020 ± 0.0013θy 0.336 ± 0.034 -0.00016 ± 0.00022E -0.10 ± 0.02 -0.0008 ± 0.0015Total -0.0030 ± 0.00220Table 3.7: 687 MeV final slope and false asymmetry values from the HCBP linear regression. Slopesare shown as yield %/δxi with δxi in units of ppm, nm, nm, nrad, nrad, eV.ulation tool in G0. G0GEANT includes a definition of the G0 physical layout comprising thetarget (including fixed radiators), detectors, and spectrometer which was verified against pre- andpost- run in-hall surveys of the physical positions [120]. The simulation allows the selection ofinitial experimental parameters including, e.g., beam energy, spectrometer current, target type,target temperature, max/min electron scattering angles. For every event, an electron is generatedrandomly along the length of the target with a randomly assigned initial scattering direction and113Running Period Correction (ppm) Error (30% total)362MeV LH2 -0.075 0.023687MeV LH2, a -0.2873 0.086687MeV LH2, b 0.1941 0.058362MeV LD2 0.0098 0.0029687MeV LD2, a -0.0906 0.027687MeV LD2, b 0.0252 0.0076Table 3.8: The final HCBP correction applied to the Pass 3 asymmetry values.Octant1 2 3 4 5 6 7 8Asymmetry (ppm)-20-15-10-50510Asymmetry (ppm)(a) LH2 362 MeVOctant1 2 3 4 5 6 7 8Asymmetry (ppm)-20-1001020Asymmetry (ppm)(b) LD2 362 MeVFigure 3.18: 362 MeV summary of the four passes effects on asymmetry. For each dataset the theasymmetry versus octant is shown for pass 1 (circle), pass 2 (square), pass 3 (up triangle) and pass4 (down triangle), with IHWP state IN (red) and OUT (blue). Error bars shown are statisticalonly.114Octant1 2 3 4 5 6 7 8Asymmetry (ppm)-60-40-20020406080Asymmetry (ppm)(a) LH2 687 MeVOctant1 2 3 4 5 6 7 8Asymmetry (ppm)-80-60-40-200204060Asymmetry (ppm)(b) LD2 687 MeVFigure 3.19: 687 MeV summary of the four passes effects on asymmetry. For each dataset the theasymmetry versus octant is shown for pass 1 (circle), pass 2 (square), pass 3 (up triangle) and pass4 (down triangle), with IHWP state IN (red) and OUT (blue). Error bars shown are statisticalonly.energy. The electron is then propagated by GEANT through the target, the spectrometer andall detector volumes. Detector volumes are set as “active”, allowing electron passing through tobe tagged. For each such hit, the detector number, particle position, angle and energy, e.g., arerecorded in an data structure (ntuple). A good electron event, which requires a coincidence of thefront and back FPDs with a CED and a Cˇerenkov detector hit, can be selected using cuts appliedon a track by track basis. In addition, cuts on other key parameters, such as time ordering andenergy deposited in the detector, can be applied to eliminate events which would not otherwise berecorded in the actual measurement.115For each process simulated (for example elastic, quasi-elastic, or inelastic scattering) a crosssection is calculated within G0GEANT, and used to weight each event (see below cross sectiondetails) [121]. The weight is calculated asw =dσdEdΩsin(θ)∆vol (3.23)where dσdEdΩ is the three-fold differential cross section, sin(θ) is the Jacobian between dΩ and dθdφ,and ∆vol is the phase space volume into which the events are generated. In the case of elasticelectron-proton scattering,for example, the phase space is∆vol = (Ep,max − Ep,min)(θmax − θmin)(φmax − φmin). (3.24)The detector rate is then calculated asR = L× 〈 dσdEdΩ〉 sin(θ)∆ph (3.25)where L is the luminosity and ∆ph is the subvolume within ∆vol covered by the detectors. Theratio between ∆ph and ∆vol is equivalent to the ratio of the number of good hits, Nhits, to the totalnumber of generated events, Nthrown and thus, Eqn. 3.25 becomesR = L× 〈 dσdEdΩsin(θ)〉∆vol NhitsNthrown ≡ L×∑iwiNthrown(3.26)where wi is the weighting factor associated with each event used to obtain a physical rate whenthe∑i, the summation over all events, is performed. The events were also scaled by the measuredefficiency of the Cˇerenkov detector as described in Appendix C. The mean of a specific parameter,such as Q2 or an asymmetry was calculated as〈P 〉 =∑iwiPi∑iwi(3.27)where P is the parameter.116Cross sections and asymmetries for various processesFor the purposes of the G0 backward angle analysis, the main physics processes involved wereelastic electron proton scattering, inelastic scattering in the resonance region, quasielastic andinelastic scattering from various nuclei (D, He, C, Al), and pion production processes. Table 3.9summarizes the various cross section models used to determine simulated quantities as describedabove.Process Data Set ReferenceElastic e-p From Kelly form factors [73]Quasielastic e-p y scaling, PWIA/2 body from Schiavilla [122]Inelastic e-p scaterring Inclusive resonance region fit [123]Inelastic e-nuclei scattering (Z + 0.75N)σinelasticPion processes MAID 2000 [124]Table 3.9: Cross sections used in simulations performed for analysis contained in this paper.Asymmetries are calculated in terms of the ai defined byA = a0 + a1GsE + a2GsM + a3Ge(T=1A + a4GsA (3.28)where a0 represents the no vector strange component and GsA is negligible as described in Chapter 1.For the elastic scattering of electrons from proton the Kelly form factors were used to calculate boththe cross sections and asymmetry values. The same form factors were used in the calculations forquasi-elastic scattering cross-sections and asymmetries for deuterium with the addition of nuclearinteraction effects based on the AV18 NN potential model [122]. To estimate the nuclear physicsuncertainites, calculations with both one- and two-body terms in the electroweak current operatorwere compared with one-body effects alone as well as to calculations with plane waves (PWIA) todescribe the final state (final-state interaction effects are ignored in this case). Figures 3.3.1-3.3.1show an example of the asymmetry coefficients for deuterium along with a cross section profile.For the final deuterium values PWIA was used for yield calculations at both energies, 687 MeVEM radiative corrections and as the basis for determining the 687 MeV deuterium asymmetrycoefficients. The 687 MeV deuterium PWIA coefficients were then scaled (by less than ±10%) toaccount for missing 2-body effects (which amount to a minor error in the theoretical kinematics).117Figure 3.20: Asymmetry coefficients a0-a3 are shown for deuterium with initial electron energy of360 MeV and a scattering angle of 100◦ calculated with PWIA, 1-body effect (Rocco1), and 2-bodyeffects (Rocco2). The cross section profile is shown in dashed magenta.For 362 MeV the full 2-body calculation was used. The uncertainty assigned to the asymmetrycoefficients was ∼0.2 ppm.For the inelastic simulation, a fit to inclusive scattering in the resonance region is used for yieldcalculations [123]. Inelastic scattering from heavier nuclei yields are taken from the proton valuesscaled by (Z+0.75N) providing a reasonable representation of existing data. For all pion processesMAID 2000 data was used [124].118Figure 3.21: Asymmetry coefficients a0-a3 are shown for deuterium with initial electron energy of680 MeV and a scattering angle of 100◦ calculated with PWIA, 1-body effect (Rocco1), and 2-bodyeffects (Rocco2). The cross section profile is shown in dashed magenta.3.3.2 Aluminum StudiesFor the elastic electron asymmetry measurement, the primary background comes from scatteringin the aluminum windows of the target cell. For this reason, several dedicated studies of the ratesfrom the target widows were performed, and the measurements were compared against monte carloto assess systematic effects in this contribution.For the purposes of monte carlo, a radiated y-scaling model was used for the quasi-elasticprocesses (see Appendix B.2) and a scaled version of hydrogen was used for the inelastic. Figure 3.22shows how this model compares with several data sets on heavy nuclei. In general the agreementis good.For comparison, rates from dedicated running on the aluminum flyswatter (described above)119100 200 300 400 500100200300400(a) Carbon Ei = 560 MeV 145◦200 300 400 50050100150200250(b) Helium Ei = 500 MeV 145◦100 200 300 400 50020 00040 00060 00080 000100 000120 000(c) Aluminum Ei = 2.02 GeV 15◦Figure 3.22: dσdΩdE (nb/sr/GeV) vs ω (MeV): Y-scaling simulation (line), data from [125].were measured, and compared to monte carlo using the radiated y-scaling models, unradiated y-scaling models, and a dipole form (Fig. 3.23). In general, the data and the full radiated y-scalingmodel are consistent.The background rate from the target windows present during production running were studiedby measuring rates from the target with hydrogen gas (<1% liquid density) in the cell. These datawere corrected to eliminate the small residual contribution from the gas and compared with montecarlo results from all windows, including radiated elastic and inelastic contributions. Figure 3.24shows the measured empty cell rates with the simulated values scaled by a factor of two. This scalingfactor was found not to be related to acceptance effects or short comings in the cross-section model.In additional to the analysis described above, a simple scaling calculation was performed whichalso indicated that the measured aluminum rates were larger than expected [127]. Furthermore,studies of the rates from the other fixed targets (carbon and tungsten), which mock up the ratesexpected in the target windows confirmed the rates measured in the empty target [128]. Because120           Figure 3.23: Flyswatter data (blue), shown against simulation using y-scaling (yellow), y-scalingwith radiation (red), and a dipole model (purple). Each point represents a single cell in thecoincidence matrix. The model in not expected to agree with the data away from the peak regiondue to additional background contributions and zero count counting uncertainties.of this discrepancy between data and the model, a 50% systematic uncertainty was assigned tothe measured aluminum rate used in the final analysis of background contributions to the physicsasymmetries.3.3.3 General Background FormalismThe CED-FPD coincidence asymmetries measured in the electron matrix are, in general, alinear combination of the elastic electron asymmetry Aelastic and asymmetry of the backgroundprocesses, scaled by the fraction of each contribution to the total yieldAmeasured = felasticAelastic + ΣifbackgroundiAbackgroundi (3.29)fbackgroundi =YbackgroundiYtotal(3.30)where∑i fbackgroundi = 1. For the G0 backward angle running, measurements and comparisonswith the simulation have shown that 5 processes contribute significantly to the total measured yield:(quasi)elastic electron scattering, inelastic electron scattering, pi− contamination, electro/photo121Figure 3.24: 687 MeV Empty target rate data (blue), shown with simulation scaled by a factor of2 (red).produced pi0 decays (from the collimators) and scattering processes from aluminum. The completeexpression for the measured asymmetries isAmeasured = felasticAelastic+ finelasticAinelastic+ fpi−Api− + fpi0Api0 + faluminumAaluminum. (3.31)The remainder of this section will focus on the extraction of the dilution fractions, fbackgroundi , froma series of measurements taken over a range of SMS field settings for all target/energy combinationsand describe the actual corrections that were applied to the raw measured asymmetries. Each seriesis labeled by i below with i=1 representing the lowest field setting in the series.3.3.4 Field Scan Dilution AnalysisIn order to check our understanding of both the geometrical and momentum acceptance of theoctant detector packages, several short runs at various SMS field setting were taken for all four122target/energy combinations (see Table 3.10 and Figures 3.25 - 3.28).Table 3.10: Primary Field Scan Run ListLH2 684 MeV LH2 359 MeV LD2 684 MeV LD2 359 MeV10/4/2006 7/22/2006 11/15/2006 1/20/200660µA 20µA 20 µA 35 µARun Current (A) Run Current Run Current Run Current31235 3500 29879 2400 32332 1900 33435 140031236 3700 29880 2550 32333 2100 33436 160031237 3900 29881 2700 32334 2300 33437 180031238 4100 29882 3000 32335 2500 33438 200031239 4300 29884 3150 32336 2700 33439 220031240 4500 29888 3075 32337 2900 33440 240031242 4900 29889 2925 32338 3100 33441 260031241 4700 29893 2775 32340 3300 33442 280031243 3300 29897 2625 32341 3500 33443 300031244 3100 29901 2250 32342 3700 33444 320031245 2900 29902 2100 32343 3900 33445 340031246 2700 29905 2175 32344 4100 33446 360031247 2500 29906 2325 32345 4300 33447 380031248 2300 29907 2475 32347 450031249 2100 29911 2400 32348 470031250 1900 29995 2650 32349 490031252 340031253 3600Figures 3.25-reffig:matrixscanH362 show matrix rate plots at many different field settings forall target and energy combinations. The general effect is that increasing the field strength tendsto move particles with higher momentum toward the lower CED and FPD values.Simulations of the five relevant processes were run over a similar range of field (bfil or b),summed, and compared to the data. For a single elastic cell on the inelastic edge in each targetenergy combination, Figure 3.29 shows the rate versus SMS current for all simulated processes(after scaling, see below), the measured raw rates, the sum of simulated processes and the residualof the measured from the elastic simulation. In order for the field scan simulations and the data tobe placed on equal footing, two scalings must be determined. First is an octant dependent scalingof the simulated magnetic field, soctant, to account for slightly different geometries. The secondscaling is an overall efficiency factor applied to all yields in a given cell, 3. Figure 3.30 demonstratesthe effect of these scaling for a single cell on the inelastic side of the elastic locus. Further detailson the determination of these scalings are provided in the following sections. With these scalings,123Figure 3.25: D684 - Rate matrix at multiple field setting. The central panel is the nominal field setting. Purple - low rate, Red - higherrate (∼500 Hz/µA).124Figure 3.26: H684 - Rate matrix at multiple field setting. The central panel is the nominal field setting. Blue - low rate, Red - higherrate (∼500 Hz/µA).125Figure 3.27: D359 - Rate matrix at multiple field setting. The central panel is the nominal field setting. Blue - low rate, Red - higherrate (∼3000 Hz/µA).126Figure 3.28: H359 - Rate matrix at multiple field setting. The central panel is the nominal field setting. Blue - low rate, Red - higherrate (∼3000 Hz/µA).127                              Figure 3.29: Octant 5 - Field scan from single elastic cell on the inelastic edge of elastic locus.                     Figure 3.30: Octant 5 - Example of scalings applied to the simulation for fitting.the background dilution fraction at the nominal field setting can be determined asfbackground = 1− YsimulationelasticY measuredtotal. (3.32)In order to accommodate a common simulation set with all determined field scalings, the simulatedelastic yield Y simulationelastic is determined from a linear interpolation of the scaled, simulated rate atfields on either side (inom and inom+1) of the nominal field setting (nominal) spaced to match the128actual field scanY simulationelastic = (m(bmeasurednominal − soctantbsimulationinom )− Y simulationelastic,inom)3 where, (3.33)m =(Y simulationelastic,inom − Y simulationelastic,inom+1)soctant(bsimulationinom − bsimulationinom+1 ). (3.34)The uncertainty associated with the simulated elastic yield is determined asδY simulationelastic =√(Rδ(3Y simulationelastic,inom))2 + (mδbmeasurednominal )2 + (mRbsimulationinom δsoctant)2 where, (3.35)δ(3Y simulationelastic,inom) ≈ δ(3Y simulationelastic,inom+1) =√(Y simulationelastic,inomδ3)2 + (3δY simulationelastic,inom)2, (3.36)R =√r2 + (1 + r)2 and r =bmeasurednominal − soctantbsimulationinomsoctant(bsimulationinom − bsimulationinom+1 )(3.37)and contributes to the overall dilution uncertainties asδfbackground =√(Y simulationelastic δYmeasuredtotal(Ymeasuredtotal )2 )2 + (δY simulationelasticYmeasuredtotal)2 (3.38)=√(σY measuredtotal )2 + (σ3)2 + (σY simulationelastic,inom)2 + (σbmeasurednominal )2 + (σsoctant)2. (3.39)Appendix F provides a table for each target and energy combination showing all the values describedabove for all cells which were fit, as well as an sother (fraction of background coming from fotherdescribed below).Determining Octant Field Scalings from Field Scan DataThe octant dependent field scaling was determined by comparing the SMS current at which the(quasi-)elastic rate reaches its maximum in the data to that obtained from simulation for all octantsand many cells based on a gaussian fitting routine. This scaling was found to apply universally toall target and energy settings. The values are shown in Figure 3.31 and Table 3.11. The ∼ 5%variation of this scaling with octant number is in agreement with a similar effect observed in theG0 froward angle data. Results from the elastic simulation at 687 MeV show physical shifts ofthe detector package larger than 10 cm (both relative to the beam line as well as distance fromthe cryostat) would be required to generate such a variation in the peak positions. Such largepositional octant dependent shifts were not observed at any time during the experiment and point129to field related effects as the most likely source of the variation0.9911.011.021.031.041.051.061.070 1 2 3 4 5 6 7 8 9Octant NumberData/Simulation RatioFigure 3.31: Universal field scalings applied to the simulated fields were determined using anaverage over many cells in the elastic locus. The resulting values for each field are shown in blue.The results for CED 7 FPD 12 LH2 687 (green) and 362 (magenta) are shown to demonstrateconsistency.Table 3.11: Octant dependant field scalings.Oct Scaling1 1.008(2)2 1.012(2)3 1.022(2)4 1.032(2)5 1.051(2)6 1.032(2)7 1.024(2)8 1.000(2)Determining Yield Scaling from Field Scan SimulationsThe determination of the yield scaling 3 was done with a χ2 minimizing technique. The χ2of the difference between the measured yield and scaled simulated yield compared to zero can be130computed byχ2 =∑bfili(Y measuredtotal,bfili − 3Y simulationtotal,bfili )2σ2(3.40)σ2 = (δY measuredtotal,bfili )2 + 32(δY simulationtotal,bfili )2 + Y simulationtotal,bfili δ32 ≈ 32(δY simulationtotal,bfili )2. (3.41)Assuming that the scale 3 and the σ2 terms are independent, one can write an expression forthe 3 which minimizes the χ2 asδχ2δ3=∑(bfiliδδ3(Y measuredtotal,bfili − 3Y simulationtotal,bfili )232(δY simulationtotal,bfili )2) = 0 (3.42)∑bfili−Y measuredtotal,bfili Y simulationtotal,bfili 3+ (Y simulationtotal,bfili )2(δY simulationtotal,bfili )2= 0 (3.43)3 =∑bfili(Ymeasuredtotal,bfili)2(δY simulationtotal,bfili)2∑bfiliYmeasuredtotal,bfiliY simulationtotal,bfili(δY simulationtotal,bfili)2(3.44)δ3 =√√√√√√√(∑bfili(Ymeasuredtotal,bfili)2(δY simulationtotal,bfili)2)3(∑bfiliYmeasuredtotal,bfiliY simulationtotal,bfili(δY simulationtotal,bfili)2)2. (3.45)The validity of this method can then be tested by evaluating the reduced χ2 with the 3 and uncer-tainties adjusted as described above. With the inclusion of the 50% global aluminum uncertaintycontribution and fitting over a field range of ±40% of the nominal field setting, χ2ν values weretypically ∼ 1 for deuterium running and less than 1 for hydrogen for each individual cell. Thesescalings are primarily manifestations of the Cˇerenkov efficiencies. Aside from the global aluminumuncertainty, the statistical uncertainty and the uncertainty on the rate scaling dominate (i.e. thecontribution from magnetic field scaling is small).Correction to the Raw AsymmetryIn order to apply the correction to the raw asymmetry values, Eq. 3.31 is simplified usingseveral assumptions. First the Aaluminum term is set equal to the quasielastic asymmetry fordeuterium. This assumption is valid at the 1.5% level, with the difference coming from the fact the131aluminum nucleus contains one more neutron than proton. Additionally, a 15% global uncertaintywas assessed to account for additional nuclear effects. Further, the Api0 is assumed to be zero,which is consistent with the measured pi− asymmetries [132]. With these approximations, theasymmetries for LH2 362, LH2 687, LD2 362, and LD2 687 go as Eq. 3.46-3.49, respectively, wherethe superscripts represents the successive target/energy combinations. In general a scaling of thedeuterium, n, can be used to estimate the aluminum asymmetry; however with the uncertaintiesinvolved a value of one is used in this analysis. The blinding factor is shown explicitly in each forthese equations.A[1]measuredblinding[1] = f [1]elasticA[1]elastic + f[1]aluminumA[1]aluminum= f [1]elasticA[1]elastic + f[1]aluminumnA[3]elastic= (1− f [1]aluminum)A[1]elastic + f [1]aluminumnA[3]elastic (3.46)A[2]measuredblinding[2] = f [2]elasticA[2]elastic + f[2]inelasticA[2]inelastic + f[2]pi0A[2]pi0 + f[2]aluminumA[2]aluminum= f [2]elasticA[2]elastic + f[2]inelasticA[2]inelastic + f[2]aluminumnA[4]elastic= (1− f [2]background)A[2]elastic + (f [2]background − f [2]aluminum)A[2]inelastic+f [2]aluminumnA[4]elastic (3.47)A[3]measuredblinding[3] = f [3]elasticA[3]elastic + f[3]aluminumA[3]aluminum= f [3]elasticA[3]elastic + f[3]aluminumnA[3]elastic= (1− f [3]aluminum − f [3]aluminumn)A[3]elastic (3.48)132A[4]measuredblinding[4] = f [4]elasticA[4]elastic + f[4]inelasticA[4]inelastic + f[4]pi−A[4]pi− + f[4]pi0A[4]pi0+f [4]aluminumA[4]aluminum= f [4]elasticA[4]elastic + f[4]inelasticA[4]inelastic + f[4]aluminumnA[4]elastic= (1− f [4]background + f [4]aluminumn)A[4]elastic+(f [4]background − f [4]pi− − f[4]pi0 − f[4]aluminum)A[4]inelastic (3.49)The inelastic signal in the elastic locus was found to be negligible for the hydrogen measurement.Figure 3.32 shows a plot of momentum versus theta for CED 6 and FPDs 10-12, as well as a line forthe inelastic threshold [129]. In general, all elastic cells were found to be below threshold, exceptfor CED 6 FPD 11. Over the entire elastic locus the inelastics contributes <0.1% and at that levelwould need an asymmetry > 600 ppm to contribute 0.6 ppm to the final result (which is ∼ 25%of our statistical uncertainty). The asymmetry measured in the inelastic locus is < 60 ppm so itwould require a large threshold enhancement of the asymmetry for this background to contributeto the measured signal at any significant level.    Figure 3.32: CED 6, FPD 10-12 theta versus momentum detector acceptance plot for 687 LH2.Under these assumptions, for each CED-FPD cell combination, i, the final measured asymme-133tries are corrected asAuncor,i = (Ameas,i − fpi−,avg ·Api−,avg − fAl,i · AAl,i − fother,i ·Aother,i)/(1 − fbck,i). (3.50)where AAl,i is taken as the corrected deuterium value and Aother,i/Api−,avg are set to be zero, fpi−,avgare applied cell by cell per octant as the locus averaged from the values shown in Tables 3.12 and3.13, and fother,i, fAl,i, and the total dilution fback,i are taken from the field scan results [130].The small inelastic and pi0 contributions are captured together by fother. The total backgrounddilution for every cell is shown in Figure 3.33, and is dominated by the aluminum fraction in allelastic cells except for those in CED 9 which have an increased fother contribution. The pi0 ratecontribution to fother was also studied in dedicated runs with the SMS polarity reversed. Thisrevealed the contributions from charge symmetric processes and agreed with simulated e+ ratesfrom pi0 decays at the 15% level with qualitative distribution agreement [131]. The uncertainty due                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Figure 3.33: Single cell dilutions from octant 3 for each target energy setting.134to these corrections isσ2Auncor,cell = (σAstat1− fbck )2 + (σfal·∆AAl1− fbck )2 + (fal · σAAl1− fbck )2 + (σfother ·∆Aother1− fbck )2+(fother · σAother1− fbck )2 + (σfpi− ·∆Api−1− fbck )2 + (fpi− · σApi−1− fbck )2 (3.51)where the “σ” terms are the individual single cell uncertainties and the ∆ terms are the differencesbetween the measured asymmetry and the indicated background asymmetry. The uncertainty onfother is taken to be 100% and an uncertainty on Aother is negligible compared to this value. Api− isdetermined at the octant level and the measured value of zero is used for single cells [132]. Overall,the single cell uncertainties are dominated by statistics and the uncertainties on the dilutionsdescribed above.oct cont σstat σsys,pt1 5.6 0.4 0.32 5.8 0.8 0.23 4.2 0.3 0.24 4.3 0.3 0.15 4.1 0.6 0.26 4.9 0.1 0.17 4.2 0.5 0.28 4.2 0.6 0.2Table 3.12: LD2 687 M2 (see Table 3.2) pi− Contamination (cont) in percent, σsys,global = 0.3·contoct cont σstat σsys,pt1 2.2 0.1 0.32 3.8 0.2 0.23 1.7 0.1 0.24 2.6 0.1 0.15 1.5 0.1 0.26 3.3 0.1 0.17 2.5 0.1 0.28 2.5 0.1 0.2Table 3.13: LD2 687 M3 (see Table 3.2) pi− Contamination (cont) in percent, σsys,global = 0.3·contOnce the corrected single cell asymmetries are determined, a weighted average is performed135over the elastic locus in each octantAuncor,oct =n∑cell=1Auncorcellσ2Auncor,celln∑cell=11σ2Auncor,cell(3.52)and the associated uncertaintiesσ2Aoct = [n∑cell=11σ2Auncor,cell]−1 + [fpi−,oct · σApi−,oct(1− fpi−,oct)]2 + [σfpi−,oct ·Aoct(1− fpi−,oct)]2 (3.53)where the σApi−,oct are taken from Table 3.14 [132] and σfpi−,oct are taken from Tables 3.13 and3.12 as the combination of systematic and statistical uncertainties [130]. The octant averagedSet Oct 1 Oct 2 Oct 3 Oct 4 Oct 5 Oct 6 Oct 7 Oct 8D362a 2.597 2.350 2.436 2.378 2.647 2.418 2.472 2.332H687a 14.844 13.060 15.140 13.524 15.028 13.410 14.170 13.437H687b 6.402 5.471 6.467 5.377 5.779 5.550 5.995 5.590H362 8.133 5.621 7.906 5.434 7.432 5.671 6.030 4.907D687M2a 6.324 5.636 6.083 5.68 6.285 5.724 6.086 5.631D687M3 7.028 6.242 6.772 6.295 7.006 6.346 6.765 6.234D687M2b 6.383 5.953 6.042 6.018 6.404 6.049 6.098 6.089Table 3.14: Octant averaged pion asymmetry uncertainties in ppm.asymmetries for each data set, after this correction has been performed on the pass 4 data, areshown in Fig. 3.34 with and without the blinding factor. These plots again show consistencybetween all octants. These individual octant asymmetry values are next averaged together usingerror weightingAuncor =8∑oct=1Auncor,octσ2Aoct8∑oct=11σ2Aoct(3.54)with the final uncertainty termσAuncor =√√√√[ 8∑oct=11σ2Aoct]−1 + σ2back,glob (3.55)136!!!!! !!!""""" """1 2 3 4 5 6 7 8!16!14!12!10!8!6!4OctantAsymmerty!ppm"(a) LH2 362 MeV!!!!!!!!""""""""1 2 3 4 5 6 7 8!20!15!10OctantAsymmerty!ppm"(b) LD2 362 MeV!!! !!!!!""" """""1 2 3 4 5 6 7 8!80!60!40!20020OctantAsymmerty!ppm"(c) LH2 687 MeV A!!!!!! ! !"""""" " "1 2 3 4 5 6 7 8!70!60!50!40!30OctantAsymmerty!ppm"(d) LD2 687 MeV B!!!!!!!!""""""""1 2 3 4 5 6 7 8!50050100150OctantAsymmerty!ppm"(e) LD2 362 MeV A/M2!!!!!!!!""""""""1 2 3 4 5 6 7 8!100!80!60!40!20OctantAsymmerty!ppm"(f) LH2 687 MeV A/M3!!!!!!!!""""""""1 2 3 4 5 6 7 8!80!70!60!50!40!30!20!10OctantAsymmerty!ppm"(g) LD2 687 MeV B/M2Figure 3.34: Summary of the dilution correction and blinding effects on pass 4 asymmetry. Foreach dataset the blinded corrected asymmetry versus octant is shown in blue while the unblindedvalues are shown in purple. Error bars contain stat+cell to cell systematics.137and the global uncertainty (discussed in chapter opening) pieceσ2back,glob = (σfpi−,glob · Auncor(1− fpi−))2 + (σfAl,glob ·AAl(1− ftot) )2 + (σAAl,glob · fAl(1− ftot) )2 (3.56)where σfAl,glob is set to 50% of the dilution value, AAl,glob includes a 15% uncertainty to accountfor nuclear effect, and σfpi−,glob is assigned for the 684 MeV deuterium as shown in Tables 3.13 and3.12. Table 3.15 is a summary of the averaged dilution values and associated uncertainties thatfeed this calculation.Target energy fal fpi− fother fH 362 0.129 ± 0.064 0 ± 0.001 0.003 ± 0.003 0.132 ± 0.064H 687 0.110 ± 0.055 0 ± 0.001 0.023 ± 0.023 0.133 ± 0.060D 362 0.099 ± 0.050 0 ± 0.002 0.005 ± 0.005 0.104 ± 0.050D 687 0.061 ± 0.031 0.04± 0.015 0.029±0.029 0.13± 0.045Table 3.15: The primary background contributions to the electron yield where the total measuredyield is taken to be a sum of our (quasi)elastic rate, yield from the aluminum target, mis-identifiedpion contaminations, and other (including inelastics and pi0 decay). The dilutions were determinedusing pass 3 yields which were available on a cell to cell basis.The final effect of the dilution correction after this averaging and combining the three differ-ent 687 MeV deuterium sets is summarized in Tables 3.16 and demonstrates that the statisticaluncertainties dominate followed by the global terms (primarily from aluminum). These resultsare consistent with an independent fitting method applied on the yields and asymmetries in thenominal matrix alone [133]. This “fitting” analysis provided a less precise dilution determination,but served as a useful qualitative cross check. In addition, dedicated wire chamber studies weremade (though not completed) in an attempt to achieve higher precision on the dilution values (seeAppendix D).3.3.5 EM Radiative CorrectionThis section describes the effect of ordinary electromagnetic radiative corrections which areapplied to each dataset after background corrections. These radiative corrections (RC) are wellunderstood features of electron scattering. Electromagnetic radiation causes energy loss for theincident and scattered electrons, which changes the kinematics. These effects cause changes to138Target Q2(GeV 2) Ameas(ppm) Abc(ppm)H 0.222 -9.72 0 -9.22± 0.72 ± 0.09 ± 0.34D 0.220 -13.50 -13.57± 0.68 ± 0.02 ± 0.07H 0.626 -36.9 -37.0± 2.02± 0.52 ± 0.74D 0.629 -37.4 -39.4± 2.84± 0.41 ± 0.20Table 3.16: Ameas = raw measured asymmetry (pass 2). Abc = Background corrected G0 backwardangle asymmetry with statistical uncertainty and contributions to the overall point-to-point andglobal systematic uncertainties due to the background corrections.the rates, asymmetries, as well as to the momentum transfer, Q2, and thus need to be accuratelydetermined to properly extract the final form factors.For the propose of these corrections to the G0 backward asymmetries, a one photon exchangeapproximation between the electron current and the hadron current is used, with higher orderterms small compared the associated uncertainties (Sec. 3.3.8) [121]. Also, vertex correctionradiation (Figure 3.35(a)) is not directly included as its contribution is also small compared to theuncertainties of the other contributions. The effects are divided into two major categories, internaland external radiation. The internal bremsstrahlung processes occur in the field of the scatteringnucleus as the emission and reabsorption of virtual photons (Fig 3.35), and the effects scale withtarget density. External ionization and bremsstrahlung processes, Fig. 3.36, involve two scatterersand are proportional to the square of the target density. Both types of processes alter the scatteredelectrons’ initial and final energy distributions for a given beam energy and cause energy lossesthat broaden the elastic (or quasi-elastic) peak and generate a “radiative tail.The overall effect on the measured parity violating asymmetry is a reduced magnitude due tothe effectively decreased Q2 (caused by the radiation). To determine the correction both the treelevel asymmetry, Atree (Fig. 3.35), and the asymmetry with the electromagnetic radiative effects,ARC , (Fig. 2), are determined following the prescription laid out by Mo and Tsai [134] in theG0GEANT simulation (see Sec. 3.3.1). Details of this calculation are provided in the Appendix B.The radiative correction, Rc is then taken as the ratio of the twoRc =AtreeARC(3.57)The radiative correction is then applied on either a0 alone, or to each of a0-a4 (calculated term-by-139e(k) e’(k’)P(p) P’(p’)(a) Borne e’P P’(b) Vertexe e’P P’(c) Vacuum Polariza-tione e’P P’(d) Initial self energye e’P P’(e) Final self energyFigure 3.35: a) Unradiated Born diagram. b-d) Amplitudes for virtual internal radiative correc-tions.e e’P P’(a) Initiale e’P P’(b) FinalFigure 3.36: Amplitudes for real internal radiative corrections.140term in G0GEANT) where the difference between the two is less than 0.05% of the final correctedasymmetry. The correction for a0, Rc(a0), alone was used for the final physics asymmetry [121].The resulting correction had an average statistical uncertainty of ±0.002 for RC . Effects fromtarget density, magnetic field, deuterium model were minimal. The choice of deuterium model(Appendix B.2) induced an additional uncertainty of ±0.003 ppm. The corrections for all of theasymmetry coefficients, listed by incident beam energy, are shown in Table 3.17 for deuteriumtargets, and Table 3.18 for hydrogen targets [121].beam energy= D 363.05a0 a1 a2 a3 a4Atree (ppm) -15.492 7.158 1.966 2.882 0.251ARC (ppm) -15.019 7.089 1.883 2.801 0.243Rc 1.032 ±0.004 1.010 ±0.001 1.044 ±0.005 1.029 ±0.003 1.033 ±0.004target/beam energy= D 689.42a0 a1 a2 a3 a4Atree (ppm) -52.445 13.755 13.666 11.273 0.983ARC (ppm) -50.797 13.609 12.994 10.851 0.947Rc 1.032±0.004 1.011±0.001 1.052±0.006 1.039±0.004 1.038±0.004target/beam energy= D 689.61a0 a1 a2 a3 a4Atree (ppm) -53.537 13.752 13.684 11.284 0.905ARC (ppm) -52.487 13.623 12.969 10.834 0.9452Rc 1.035±0.004 1.010±0.001 1.055±0.006 1.042±0.005 1.041±0.005target/beam energy= D 689.61 Multiplicity= 3a0 a1 a2 a3 a4Atree (ppm) -52.347 13.798 13.627 11.246 0.980ARC (ppm) -50.586 13.662 12.912 10.796 0.94190Rc 1.035±0.004 1.010±0.001 1.055±0.006 1.042±0.005 1.041±0.004Table 3.17: Deuterium Electromagnetic Radiative Corrections. Multiplicity = 2 unless otherwisenoted.3.3.6 Q2 DeterminationThe determination of Q2 comes from understanding the acceptances of the detector setup, andthe radiative and ionization losses in the initial beam energies, which are explained in detail inSection 3.3.5. In order to estimate the Q2 for the measured beam energies, a Taylor expansionQ2(E) = Q2(Eo) +∆Q2∆E(E −Eo) (3.58)141target/beam energy= H 361.90a0 a1 a2 a3 a4Atree (ppm) -10.434 10.200 8.781 2.684 1.203ARC (ppm) -10.064 10.110 8.388 2.587 1.156Rc 1.037±0.002 1.009±0.001 1.047±0.003 1.037±0.002 1.037±0.002target/beam energy= H 684.86a0 a1 a2 a3 a4Atree (ppm) -37.951 21.760 62.523 12.042 5.400ARC (ppm) -36.612 21.542 59.198 11.508 5.159Rc 1.037±0.002 1.010±0.001 1.056±0.003 1.046±0.003 1.046±0.003target/beam energy= H 685.57a0 a1 a2 a3 a4Atree (ppm) -38.026 21.783 62.735 12.074 5.412ARC (ppm) -36.697 21.557 59.420 11.544 5.174Rc 1.036±0.002 1.010±0.001 1.056±0.003 1.046±0.003 1.046±0.003Table 3.18: Hydrogen Electromagnetic Radiative Corrections Hydrogen Electromagnetic RadiativeCorrections. Multiplicity = 2.was used. Using nominal beam energies of 687 MeV and 362 MeV in the G0GEANT simulation,Q2 values of 0.6301 GeV 2 and 0.2222 GeV 2 were obtained respectively for the elastic locus.Detector position, target position, energy and magnetic field effects on the Q2 were studiedexplicitly and the sensitivities were found to be much smaller than the uncertainties of each quan-tity, with the exception of the beam energy (Table 3.19). The uncertainty of the beam energymeasurement is close to the sensitivity in Q2; this number was estimated using the uncertaintieson the measured beam energies and shown in Table 3.20. The final Q2 values shown (Table 3.20)[135] are for the unradiated values, and are thus correspond to the measured asymmetry valuesafter radiative corrections.Table 3.19: Q2 sensitivities assuming ∆Q2Q2 = 1%.x 362 LH2 362 LD2 687 LH2 687 LD2 ∆xzdet 19 18 23 10 1.0cmrdet 5 3 8 5 0.5cmztar 5 4 10 6 0.5cmEbeam 2 2 4 5 1.0MeVBFIL 6 23 7 16 1.3%142Target/Energy Sys. Err (%) Beam Energy (MeV) Energy (MeV) Q2(GeV 2)/c2LH2 687a 0.21 685.57 ± 0.92 682.45 ± 0.92 0.6275 ± 0.003LH2 362 0.27 361.90 ± 0.50 358.75 ± 0.507 0.2217 ± 0.001LH2 687b 0.27 684.86 ± 0.92 681.74 ± 0.92 0.6264 ± 0.003LD2 687a (M2) 0.19 689.61 ± 0.93 686.07 ± 0.93 0.6300 ± 0.003LD2 687a (M3) 0.19 689.61 ± 0.93 686.05 ± 0.93 0.6287 ± 0.003LD2 362 0.22 363.05 ± 0.66 359.51 ± 0.66 0.2193 ± 0.001LD2 687b 0.19 689.42 ± 0.93 686.87 ± 0.93 0.6299 ± 0.003Table 3.20: Q2 Summary; uncertainties include 0.4% model uncertainty.3.3.7 Beam Polarization CorrectionsThe correction for the beam polarization contains two primary piecesAcor =AmeasP+KS (3.59)where P is the contribution from the overall polarization of the beam and KS is an additiveterm coming from a transverse component in the longitudinal beam. For the G0 backward angleexperiment the multiplicative value, P, for each data set is described in Section 2.1.5. The value ofthe transverse correction is described below.Transverse CorrectionIn general, effects from residual transverse components of the beam polarization are small withaveraging over the eight detector sets eliminating such a contributions completely in a perfectlysymmetric system. However, imperfections in this symmetry lead to an additive correction to themeasured asymmetry as shown in Eq. 3.59. Indeed, this correction was found to be small (∼1ppm), and is included only as an additional systematic uncertainty on the final value [136].Determining the transverse correction to the longitudinal asymmetry requires both the trans-verse asymmetry and the residual transverse polarization of the beam during longitudinal pro-duction running. Dedicated runs with the beam transversely polarized were taken at each targetenergy combination. The measured asymmetry, Atrans⊥ , from these runs is a function of the beamnormal spin asymmetry, An, and has a sinusoidal dependence on octant number (related to the143azimuthal angle around the beam axis φ) based onAtrans⊥ = −An sin(φ+ φo) (3.60)where sin(φ + φo) = (pe · nˆ from the spin polarization vector (pe and the normal to the scatteringplane nˆ.For each dataset the asymmetry versus octant is fit with a sine function and a constant offset(Figure 3.37(a)) [136]. The out of plane angle of the spin, φ, is defined to be zero to beam leftwhen looking downstream.The detector phases were fixed to a weighted average of the 362 MeV values, for consistency, andan asymmetry amplitude and shift are determined by fitting. The results of the fits are summarizedin Table 3.21 [136].Table 3.21: Summary of the magnitude of the transverse asymmetries in each dataset. The statis-tical precision of the 687 MeV data were were reduced because of limited running time.Dataset H362 D362 H687 D687Asymmetry (ppm) 176.2 ± 8.7 108.6 ± 7.6 21.0 ± 23 55.2 ± 78Offset (ppm) -1.7 ± 4 1.4 ± 4 -9.9 ± 14 10 ± 46χ2dof 1.9 1.6 0.4 0.5The transverse component of the beam during production running is determined in multipleways to determine consistency, as a sinusoidal fit to the elastic data is not our most sensitivemeasurement of φo (Fig. 3.37(c)). First, the longitudinal polarization is measured directly by thepolarimeters for all halls at various Wein angle settings during a “Spin Dance” [94]. In addition, thesinusoidal variation caused by the transverse component of the beam in the data can be measureddirectly in luminosity monitors. A ratio of fit amplitudes in the LUMI data from full transverserunning (Fig. 3.37(b)) and longitudinal running (Fig. 3.37(d)) sets the magnitude and directionof the transverse component of beam polarization during production running. The LUMI data,and detector data (Fig. 3.37(c)) in both transverse and longitudinal modes are consistent amongdatasets.The correction, KS , is then calculated from a residual transverse detector asymmetry, AS,144            (a) Elastic Transverse            (b) Lumi Transverse            (c) Elastic Longitudinal            (d) Lumi LongitudinalFigure 3.37: Sinusoidal fits to asymmetries versus azimuthal detector package number to determinetransverse correction (362 D shown as example here). The fit parameters are p1 (amplitude), p2(phase shift) and p3 (constant offset). a) elastic locus transverse running b) luminosity monitorsduring transverse running c) elastic locus during longitudinal running d) luminosity monitors duringlongitudinal running.145characterizing the azimuthal symmetry, asKS = ATPTPAS (3.61)where AT is the amplitude of the transverse asymmetry andPTP is the relative transverse polar-ization in the longitudinal running found from the LUMI analysis. An estimate of the detectorasymmetry, AS , is made using the variation in the yields from octant to octant, about ±6%. Con-servatively assuming that all of this variation comes from a difference in the scattered electronangle and given the cross section with angle is 1σdσdθ ∼ 4%/degree, the variation of the asymmetrywith scattering angle is estimated as 1AdAdθ ∼ −0.76%/degree for 300 MeV and ∼ 0.16%/degree at570 MeV. In actuality, differences in yields from octant to octant can be caused by other factors,some relevant to the detector asymmetry, such as a misplacement of an octant detector package inradius or a phi variation in the magnetic field. Other effects would impact the detector asymmetrybut not the yields, such as a misplacement of the detectors in phi. The estimate of the detectorasymmetry, AS , presented here provides an upper limit to the actual transverse correction.The results of this analysis are summarized in Table 3.22 [136] where, as mentioned above, thiscorrection is not actually applied, but is included as an additional systematic uncertainty for eachtarget/energy combination.Table 3.22: Summary of the magnitude of the transverse correction in each dataset.H362 D362 H687 D687AT (ppm) 0.35 ± 0.04 -0.83 ± 0.02 0.74 ± 0.04 0.37 ± 0.02AlumiT (ppm) 23.5 ± 1.2 23.2 ± 0.1 19.0 ± 0.3 18.2 ± 0.4AlumiL (ppm) 20.8 ± 18 57.4 ± 68 150.5 ± 4.2 100.0 ± 6.1KS (ppm) 0.022 ± 0.003 0.036 ± 0.002 0.008 ± 0.007 0.012 ± 0.0131463.3.8 Two boson exchange correctionIn addition to the EM radiative effects described above, and applied as a correction to the data,the asymmetry was also corrected for higher order 2-boson exchange effects [137]APV = (1 + δ)A0PV∼= (1 + δZ(γγ) + δγ(Zγ)1 + δγ(γγ))A0PV . (3.62)whereδ ≈ δZ(γγ) + δγ(γZ) − δγ(γγ) (3.63)δZ(γγ) =2 2 (M∗ZMγγ)2 2 (M∗ZMγ)(3.64)δγ(γZ) =2 2 (M∗γMγZ +M∗γMZγ)2 2 (M∗γMZ)(3.65)δγ(γγ) =2 2 (M∗γMγγ)|(Mγ |2 (3.66)(see Figures 3.38 and 3.39 for the Feynman diagrams corresponding to these terms).The corrections were calculated by two separate theory groups for the kinematics of many parityviolating experiments including G0. Their calculations provide a comprehensive study of two-bosonexchange (TBE) corrections in parity-violating electron-proton elastic scattering. Specifically, theycalculate the two-boson-exchange (TBE), including two-photon-exchange (TPE) and γZ-exchange(γZE), corrections including ∆(1232) excitation to the parity-violating asymmetry of the elasticelectron-proton scattering (Figures 3.38,3.39) [138, 139]. The Delta contribution was found tobe much smaller than the nucleon contribution at backward angles (small epsilon), but becomesdominant in the forward scattering limit (3 ∼ 1). The dependence of the corrections on the nucleonform factors is small for Q2 < 1 GeV 2.The nucleon and Delta TBE corrections relevant for G0, along with other past and futureparity-violating experiments are calculated with hadronic and asymptotic effects included in thevertex corrections described in Chapter 1 removed to avoid double counting. The results from thetwo groups are shown in Tables 3.23 and 3.24 with results for G0 boldfaced [138, 139]. The effectson the asymmetries are ≤1%.147e(p1)P (p2)e′(p3)P ′(p4)γ(a)Z(b)kγ γ(c)kZ γ(d)Figure 3.38: (a) one-photon-exchange, (b) Z-boson-exchange, (c) TPE, and (d) γZ-exchange dia-grams for elastic e-p scattering. Corresponding cross-box diagrams are implied.(a)γγP (p2)e(p1) e′(p3)P ′(p4)∆(b)γZ∆FIG. 2: (a) TPE and (b) box diagrams with ∆ intermFigure 3.39: (a) TPE and (b) γZE box diagrams with∆ intermediate states. Corresponding crosseddiagrams are implied.3.4 SummaryAll of the corrections described above are applied in an order to avoid double counting ofsystematic effects. Additionally, systematic uncertainties were broken into point-to-point and global(across data sets) contributions (see Appendix A). Table 3.25 provides a summary of the additiveand scaling corrections for the background corrected raw values given in Table 3.16 [140].148Table 3.23: TBE corrections for the nucleon ( δ N) and ∆(δ∆) intermediate states, and theirsum (in percent), at various experimental kinematics from [138]. Also shown are corrections afterremoving the existing hadronic, δMS(h), and (hadronic + asymptotic), δMS(t), corrections at Q2 =0Q2 Theta Experiment δN δ∆ δ(N+∆) δMS(h) δMS(t)0.099 6. 0◦ HAPPEX [1] 0.19 -1.20 -1.01 0.45 2.420.477 12.3◦ HAPPEX [1] 0.13 -0.44 -0.31 0.16 0.860.077 6.0◦ HAPPEX [3] 0.22 -1.04 -0.82 0.52 2.780.100 144.0◦ SAMPLE [5] 1.63 -0.09 1.54 0.06 0.330.108 35.37◦ PVA4 [7] 1.05 0.78 1.83 0.37 1.980.230 35.31◦ PVA4 [7] 0.62 0.34 0.96 0.23 1.220.122 6.68◦ G0 [2] 0.18 -1.06 -0.88 0.40 2.130.128 6.84◦ G0 [2] 0.18 -1.03 -0.85 0.39 2.070.136 7.06◦ G0 [2] 0.18 -0.99 -0.81 0.37 1.990.144 7.27◦ G0 [2] 0.17 -0.96 -0.79 0.36 1.920.153 7.5◦ G0 [2] 0.17 -0.92 -0.75 0.35 1.850.164 7.77◦ G0 [2] 0.17 -0.88 -0.71 0.33 1.770.177 8.09◦ G0 [2] 0.16 -0.83 -0.67 0.32 1.690.192 8.43◦ G0 [2] 0.16 -0.79 -0.63 0.30 1.600.210 8.84◦ G0 [2] 0.16 -0.73 -0.57 0.28 1.510.232 9.31◦ G0 [2] 0.16 -0.68 -0.52 0.26 1.410.262 9.92◦ G0 [2] 0.15 -0.62 -0.47 0.24 1.300.299 10.63◦ G0 [2] 0.15 -0.55 -0.40 0.22 1.190.344 11.46◦ G0 [2] 0.15 -0.48 -0.33 0.20 1.070.410 12.59◦ G0 [2] 0.15 -0.41 -0.26 0.18 0.950.511 14.2◦ G0 [2] 0.15 -0.32 -0.17 0.15 0.810.631 15.98◦ G0 [2] 0.15 -0.26 -0.11 0.13 0.700.788 18.16◦ G0 [2] 0.16 -0.23 -0.07 0.11 0.600.997 20.9◦ G0 [2] 0.17 -0.22 -0.05 0.10 0.510.230 110.0◦ G0 [4] 1.37 -0.10 1.27 0.09 0.470.620 110.0◦ G0 [4] 1.10 -0.15 0.95 0.07 0.350.030 8.0◦ Qweak [10] 0.57 -0.45 0.13 0.80 4.25The final physics asymmetries with statistical, point-to-point and global systematic uncertain-ties are then [140]AHphys(0.222 GeV2) = −11.25 ± 0.86 ± 0.27± 0.43 ppm (3.67)ADphys(0.220 GeV2) = −16.93 ± 0.81 ± 0.41± 0.21 ppm (3.68)AHphys(0.626 GeV2) = −45.9± 2.4 ± 0.8± 1.0 ppm (3.69)ADphys(0.629 GeV2) = −55.5± 3.3± 2.0 ± 0.7 ppm. (3.70)149Table 3.24: The TBE corrections for HAPPEX, A4, and G0 experiments from [139]Q2 3 δN (%) δ∆(%) δ∆(2γ)(%) δ∆(γZ)(%) δTotal(%)0.122 0.993 0.32999 -1.39024 +0.176148 -1.566388 -1.060340.128 0.9926 0.326538 -1.34524 +0.181213 -1.526453 -1.0187020.136 0.9921 0.321748 -1.29431 +0.187282 -1.481592 -0.9725620.144 0.9916 0.317386 -1.24771 +0.193068 -1.440778 -0.9303240.153 0.9911 0.312071 -1.20549 +0.199871 -1.405361 -0.8934190.164 0.9904 0.307419 -1.1506 +0.206863 -1.35763 -0.8431810.177 0.9896 0.302255 -1.09474 +0.214809 -1.309549 -0.7924850.192 0.9886 0.297906 -1.03253 +0.222607 -1.255137 -0.7346240.210 0.9875 0.292505 -0.97324 +0.231872 -1.205117 -0.6781950.232 0.986 0.288364 -0.90318 +0.240771 -1.143957 -0.6148220.262 0.984 0.283563 -0.82578 +0.251392 -1.077181 -0.5422260.299 0.9814 0.280011 -0.74466 +0.261103 -1.005763 -0.4646490.344 0.9783 0.276728 -0.66835 +0.270129 -0.938486 -0.3916290.410 0.9735 0.275062 -0.57913 +0.277085 -0.856219 -0.3040720.510 0.9657 0.276632 -0.47939 +0.277487 -0.75688 -0.2027610.628 0.9558 0.281645 -0.39703 +0.268 -0.665038 -0.1153930.789 0.9413 0.291302 -0.32100 +0.245503 -0.566504 -0.0296990.997 0.9197 0.306985 -0.25287 +0.207554 -0.460431 0.0541080.224 0.199 1.57438 +0.06270 -0.011932 +0.074633 1.6370810.624 0.183 1.31839 +0.02900 +0.006542 +0.022458 1.343978Table 3.25: Corrections to the raw elastic asymmetries after background correction (Table 3.16).Rate and “Other” corrections are additive; beam polarization corrections, (1/0.858)± 0.02± 0.01,and electromagnetic radiative corrections are multiplicative. “Other” corrections include thosefor helicity-correlated beam parameters, the small transverse component of beam polarization, andtwo-boson exchange. The uncertainties for the corrections are point-to-point and global systematic.Target Q2 Rate Other EM Radiative(GeV2) (ppm) (ppm)H 0.222 −0.31± 0.08 ± 0 0.22 ± 0.08 ± 0.01 1.037 ± 0.002 ± 0D 0.220 −0.58± 0.21 ± 0 0.06 ± 0.10 ± 0.01 1.032 ± 0.004 ± 0H 0.626 −1.28± 0.18 ± 0 0.29 ± 0.11 ± 0.01 1.037 ± 0.002 ± 0D 0.629 −7.0± 1.8 ± 0 0.34 ± 0.21 ± 0.01 1.034 ± 0.004 ± 0150Chapter 4Results and ConclusionsThe asymmetries presented in Section 3.4, together with the asymmetries measured in theforward angle G0 experiment (Sec. 1.6.6), allow for the extraction of GsE , GsM and Ge(T=1)A usingthe expression first presented in Equation 1.61 (including electroweak corrections)Aphys(Q2) = − GFQ24√2piα1[3(GpE)2 + τ(GpM )2]× {(3(GpE)2 + τ(GpM )2)(1− 4 sin2 θW )(1 +RpV )− (3GpEGnE + τGpMGnM )(1 +RnV )− 3GpE(GsE + ηGsM )(1 +R(0)V )− 3′(1− 4sin2θW )GpMGeA} , (4.1)withGeA = −(1 +RT=1A )GT=1A +√3RT=0A GT=0A + (1 +R(0)A )GsA . (4.2)andτ =Q24M2p, 3 =(1 + 2(1 + τ)tan2θ2)−1, 3′ =√τ(1 + τ)(1− 32) , η = τGpM3GpE. (4.3)For simplicity (as first presented in Sec. 3.3.1), this asymmetry is written as a linear function ofGsE , GsM and Ge(T=1)A with coefficients to represent the relative sensitivities to each form factor asA = a0 + a1GsE + a2GsM + a3Ge(T=1)A + a4GsA (4.4)151where for proton scatteringa0 + a4GsA = −GFQ24√2piα1[3(GpE)2 + τ(GpM )2]× {(3(GpE)2 + τ(GpM )2)(1− 4 sin2 θW )(1 +RpV )− (3GpEGnE + τGpMGnM )(1 +RnV )− 3′(1− 4sin2θW )GpM (√3RT=0A GT=0A + (1 +R(0)A )GsA)}} (4.5)a1 = − GFQ24√2piα1[3(GpE)2 + τ(GpM )2] · {3GpE(1 +R(0)V )} (4.6)a2 = − GFQ24√2piα1[3(GpE)2 + τ(GpM )2] · {τGpM (1 +R(0)V )} (4.7)a3 = − GFQ24√2piα1[3(GpE)2 + τ(GpM )2] · {3′(1− 4 sin2 θW )GpM (1 +RT=1A )}. (4.8)The a0 and a4GsA terms are group together to form a single constant term which is independent fromGsE , GsM and Ge(T=1)A . The details of the final asymmetry values, determination of the asymmetrycoefficients, and final determination of GsE , GsM and Ge(T=1)A with the associated uncertainties aredescribed in the remainder of this chapter.4.1 Final G0 asymmetry values4.1.1 Adjusted Backward Angle ValuesIn order to extract the three form factors, GsE , GsM and Ge(T=1)A , three separate asymmetrymeasurements (forward proton, backward proton, and backward deuteron) are needed at a commonQ2 value. The G0 backward angle values from hydrogen and deuterium measurements at eachcommon beam energy, given in Section 3.4, had slightly different finalQ2 values. These asymmetriesvalues are therefore adjusted in pairs to common Q2 values of 0.221 GeV2 and 0.628 GeV2 usingthe kinematic sensitivities, δAδQ2 , of -123.0, -113.8ppmGeV 2 , respectively, for the high energy and lowenergy hydrogen results, and -138.6, and -111.2 ppmGeV 2 , respectively, for the deuterium. The adjusted152backward angle asymmetries are thenAHphys(0.221 GeV2) = −11.10 ± 0.86± 0.27 ± 0.43 ppm (4.9)ADphys(0.221 GeV2) = −17.07 ± 0.81± 0.42 ± 0.21 ppm (4.10)AHphys(0.628 GeV2) = −46.05 ± 2.41± 0.83 ± 1.03 ppm (4.11)ADphys(0.628 GeV2) = −55.38 ± 3.31 ± 1.97 ± 0.71 ppm. (4.12)with statistical, point-to-point systematic, and global systematics uncertainties, respectively (seeAppendix A).4.1.2 Forward Angle Results interpolationThe G0 forward angle experiment measured asymmetries over a range of Q2 values (0.12 ≤ Q2≤ 1.0 GeV2) (Sec. 1.6.6). A calculated no vector strange asymmetryANV S = − GFQ24√2piα13(GpE)2 + τ(GpM )2× {3(GpE)2 + τ(GpM )2(1− 4sin2θW )(1 +RPV )− (3GpEGnE + τGpMGnM )(1 +RnV )− 3′(1− 4sin2θW )GpMGeA} . (4.13)is often subtracted from the measured forward angle results to highlight the contributions fromthe strange quarks. For the purpose of the form factor extraction, this difference is fit and aninterpolated value at Q2=0.22 and 0.63 GeV2 is determined. Figure 4.1 shows both linear andquadratic fits to the data using the 11 and 13 of the highest Q2 data points. For the form factorextraction below, values from the linear fit of the 11 highest Q2 data points are used with uncer-tainties estimated from the spread of the various fit models. The forward angle asymmetries usedin the form factor extraction are thenAfphys(0.221 GeV2) = −4.77 ± 0.36± 0.21 ± 0.23 ppm (4.14)Afphys(0.628 GeV2) = −20.71 ± 0.78 ± 0.90 ± 1.31 ppm. (4.15)153"""""""""""""""""0.0 0.2 0.4 0.6 0.8 1.002468Q2 !GeV2"A phys!A NVS!ppm"Figure 4.1: Fit of the G0 Forward Angle results. Both linear and quadratic fits to the data usingthe upper 11 and 13 data point are shown. The solid blue fit is use for the results presented here.4.2 Form factor extractionThe extraction of the form factors, with the asymmetries above in-hand, requires the input ofknown standard values to determine the a0-a3 coefficients for the proton scattering measurement. Alist of the standard values present in these terms and presented in Chapter 1 or in Ref. [22] is shownin Table 4.1. Additionally, the electroweak radiative correction R terms (from Sec. 1.5) and theGsA value from HERMES inclusive measurements, both presented in Chapter 1 are gives in Table4.2. For the ordinary proton electromagnetic form factors, Gγ,(p,n)E,M the Kelly parameterization,presented in Section 1.6.1, is used uncertainties as given in Table 4.3. For the deuteron, nucleareffects are also included on top of the Kelly proton and neutron form factors, as described in Section3.3.1.The final energies and Q2 values presented in Sec. 3.3.6 are given in Table 4.4. With these154α 1137.03599976sin2ΘW 0.2312GF 1.16639x10−5 GeV2mp 0.938272 GeVµp 2.79285µn -1.91304Λ2 0.711 GeV2Λ2A 1.00 GeV2gAgV 1.2695Table 4.1: Standard Parameters: The uncertainties are either negligible or included in overall formfactor uncertainties (Λ). ΛA uncertainties are unimportant as this value controls the Q2 dependanceof GT=0A which is < 10% of GeA.RpV -0.054568RnV -0.011679R(0)V -0.011789R(T=1)A -0.259163R(T=0)A -0.23826 ± .20R(0)A -0.55 ± .55GsA -0.08 ± .043F-D 0.585 ± 0.023Table 4.2: Radiative Terms and GsA used in the G0 form factor extractionGγ,pE (0.25+1.25Q2) %Gγ,pM 1%Gγ,nE 15/(3-1.5Q2)%Gγ,nM 2%Table 4.3: Form Factor uncertaintiesinputs, the sensitivities of the six asymmetry measurements to GsE , GsM and Ge(T=1)A areAfphys(0.221 GeV2) = −4.68 + 23.02GsE + 4.13GsM + 0.21Ge(T=1)A ppm (4.16)AHphys(0.221 GeV2) = −10.35 + 10.31GsE + 8.62GsM + 2.64Ge(T=1)A ppm (4.17)ADphys(0.221 GeV2) = −15.67 + 7.07GsE + 1.99GsM + 2.92Ge(T=1)A ppm (4.18)Afphys(0.628 GeV2) = −23.68 + 79.39GsE + 42.87GsM + 2.46Ge(T=1)A ppm (4.19)AHphys(0.628 GeV2) = −38.28 + 21.57GsE + 62.84GsM + 12.10Ge(T=1)A ppm (4.20)ADphys(0.628 GeV2) = −53.29 + 12.12GsE + 12.49GsM + 9.50Ge(T=1)A ppm (4.21)155Param. Value Unc.(%)Efi 3.031GeV 0.033EHb,lowi 0.35871 GeV 0.139EDb,lowi 0.35986 GeV 0.139EHb,highi 0.68173 GeV 0.135EDb,highi 0.68638 GeV 0.135Q2f,low 0.2225 GeV2 1Q2f,high 0.6305 GeV2 1Q2Hb,low 0.222 GeV2 0.50Q2Db,low 0.223 GeV2 0.45Q2Hb,high 0.627 GeV2 0.45Q2Db,high 0.634 GeV2 0.47Table 4.4: Final energies and Q2 values.4.2.1 Extracted form factorsThe calculated form factor sensitivities with the final asymmetry values are solved to give thethree form factors for both the low and high Q2GsE(0.221 GeV2) = −0.0142305 ± 0.035562 ± 0.0181952 ± 0.0176497 (4.22)GsM (0.221 GeV2) = 0.0833777 ± 0.18337 ± 0.0854892 ± 0.0780912 (4.23)GeA(0.221 GeV2) = −0.501236 ± 0.317127 ± 0.193005 ± 0.0878386 (4.24)GsE(0.628 GeV2) = 0.110227 ± 0.0488068 ± 0.0296044 ± 0.0236998 (4.25)GsM (0.628 GeV2) = −0.12354 ± 0.10953 ± 0.0614285 ± 0.0316972 (4.26)GeA(0.628 GeV2) = −0.197329 ± 0.425414 ± 0.256755 ± 0.0948741 (4.27)The uncertainty associated with each expression is the statistical, point-to-point systematic andcorrelated global systematic contribution. These uncertainties come from the reported uncertaintieson the asymmetries (which dominate) along with additional contributions to the point-to-pointshown in Table 4.5 and global contributions shown in Table 4.6 from the additional inputs describedabove. Figures 4.2 and 4.3 show the sensitivities of each measurement to the various form factorsalong with the 68% and 95% confidence intervals around the most probable values. The confidence156contours shown are projections at the central value, of the three dimensional error volume definedby the three separate from factors values and include the additional systematic uncertainties appliedon top on the asymmetry uncertainties.!0.6 !0.4 !0.2 0.0 0.2 0.4 0.6!0.15!0.10!0.050.000.050.10GMsG Es(a) GsE vs GsM!1.5 !1.0 !0.5 0.0 0.5!0.15!0.10!0.050.000.050.10GAeG Es(b) GsE vs GeA!1.5 !1.0 !0.5 0.0 0.5!0.6!0.4!0.20.00.20.40.6GAeG Ms(c) GsM vs GeAFigure 4.2: Error bands of the GsE , GsM and GeA for Q2 =0.63 GeV2 including statistical andsystematic contributions. Blue, forward angle; Red, backward angle hydrogen; Green backwardangle deuterium. For each plot the unshown form factor is set to the extracted value. The solidblack circle represent a projection the 68% confidence level interval, and the dashed ellipse is 95%CL from the error volume determined by the G0 results alone, and include the additional systematicuncertainties applied on top on the asymmetry uncertainties as described in the text.4.3 ConclusionThe results of the form factor extraction are shown in Fig. 4.4. The GsE , GsM and Ge,T=1A values,extracted from Aphys, at Q2 = 0.221 and 0.628 GeV2 [140, 144] are presented with an extraction ofGsE and GsM at Q2 = 0.1 GeV2 using the low Q2 fit to previous data (see Sec. 1.6.7). The PVA4result at Q2 = 0.221 (see Sec. 1.6.4) is shown [84], and which in contrast to the G0 results, did not157!0.4 !0.2 0.0 0.2!0.10.00.10.20.3GMsG Es(a) GsE vs GsM!2.0 !1.5 !1.0 !0.5 0.0 0.5 1.0 1.5!0.10.00.10.20.3GAeG Es(b) GsE vs GeA!2.0 !1.5 !1.0 !0.5 0.0 0.5 1.0 1.5!0.4!0.20.00.2GAeG Ms(c) GsM vs GeAFigure 4.3: Error bands of the GsE , GsM and GeA for Q2 =0.22 GeV2 including statistical andsystematic contributions. Blue, forward angle; Red, backward angle hydrogen; Green backwardangle deuterium. For each plot the unshown form factor is set to the extracted value. The solidblack circle represent a projection the 68% confidence level interval, and the dashed ellipse is 95%CL from the error volume determined by the G0 results alone, and include the additional systematicuncertainties applied on top on the asymmetry uncertainties as described in the text.use a deuterium measurement and assumes a value for Ge,T=1A determined by a normalization tothe calculation of Ref. [64] (shown in Fig. 4.4c) of a dipole form factor with a mass parameter, MAof 1.032 GeV. The lattice calculations of the Adelaide [36] and Kentucky [37] groups are also shownwith GsE,M . The Ge,T=1A results from the SAMPLE experiment [80] are shown with the calculationof Zhu, et al. [64]. All measurements are consistent with one another.In conclusion, the G0 collaboration has measured backward angle parity-violating asymmetriesin elastic electron-proton and quasielastic electron-deuteron scattering at Q2 = 0.221 and 0.628GeV2. With the previous results from the forward angle experiment, these asymmetries determinethe neutral weak interaction analogs of the ordinary charge and magnetic form factors of thenucleon, together with the effective axial form factor GsE , GsM and Ge,T=1A . The final extracted158Figure 4.4: The form factors a) GsE , b) GsM , and c) GeA determined by the G0 experiment forward-and backward-angle measurements [140]. Error bars show statistical and statistical plus point-to-point systematic uncertainties (added in quadrature); shaded bars below the correspondingpoints show global systematic uncertainties (for G0 points). For GsE and GsM , the extraction fromRef. [91] as well as the results of the PVA4 (Mainz) experiment [84] are also shown. The recentlattice calculations from Adelaide [36] and Kentucky [37] groups are also shown; for the former theuncertainties are smaller than the symbols. For Ge,T=1A , results from the SAMPLE experiment [80]are shown together with the calculation of Zhu, et al. [64] and the fit of the charge current axialform factor GA,cc [78]. Figure from [140].159Q2=0.22 GeV2 Q2=0.63 GeV2×10−3 GsE GsM GeA GsE GsM GeAEHbi 0.642 3.61 0.607 0.841 1.58 0.359EDbi 0.590 3.81 10.2 0.496 1.24 5.52Q2f 3.52 1.59 8.24 5.61 0.673 6.65Q2Hb 3.13 17.6 2.96 4.43 8.32 1.89Q2Db 2.90 18.7 50.0 3.17 7.89 35.2Gγ,pE 1.14 0.837 9.78 2.95 0.255 3.81Gγ,pM 1.23 3.10 9.17 3.77 4.77 6.84Gγ,nE 3.3 2.66 7.12 4.53 1.52 6.77Gγ,nM 2.32 6.56 40.1 1.26 7.98 14.0aD0 4.08 26.3 70.5 1.30 3.24 14.5aD1 10.4 67.0 1.79 0.176 0.438 1.96aD2 0.518 3.34 8.95 0.110 0.274 1.22aD3 1.98 12.8 34.2 0.893 2.22 9.93Total 8.44 40.2 104 10.5 15.5 44.0Table 4.5: Additional uncertainty contributions to extracted form factors: systematic. The aDiterms are from the deuterium model.Q2=0.22 GeV2 Q2=0.63 GeV2×10−3 GsE GsM GeA GsE GsM GeAEfi 0.00438 0.00198 0.0102 0.0134 0.00161 0.0159GsA 0.613 3.96 1.44 0.550 1.37 0.648EW Rad. Cor 2.52 16.3 5.93 2.26 5.63 2.66Total 2.59 16.7 6.10 2.33 5.79 2.74Table 4.6: Additional uncertainty contributions to extracted form factors: globalvalues of the form factors at the momentum transfers indicate that the strange quarks contributeto the nucleon form factors at a level of < 10% and agree well with result results from the lattice.Measuring at a precision which would distinguish these small values from this newest theorypresents a large challenge for experimentalists. The high energy GsE point shows some signs ofsignificant strange contribution and this will be studied by a future measurement described below.Reconciling the ∼40% contribution of strange quarks to the overall sea quark piece of the proton’smomentum and the relatively larger (∼-0.3 n.m. for µs) low Q2 limiting values, with these mea-surements and lattice results will serve to help reveal the underlying dynamics of the sea quarks inthe nucleon.The results also provide, for the first time, information on the Q2 dependence of Ge,T=1A and160suggest a signal from the nucleon anapole moment in the form of a systematic reduction in mag-nitude of the axial form factor from that seen in neutrino scattering, GA,cc [78], though higherstatistics are needed to clarify the situation.4.4 Outlook and related future measurementsThe measurement of GsE at Q2=0.6 GeV2 points to a strange contribution which is possiblylarger than that predicted by lattice, although only at the 1.5σ level. To improve the precisionhere, the HappeX collaboration completed data taking for HappeX-III in late 2009. This is a highprecision Hall A measurement using the 3.4 GeV2 CEBAF beam at JLab on a hydrogen target tomeasure the parity violating asymmetry at Q2=0.6 GeV2. The collected charge on target is shownagainst the initial projection in Figure 4.5. With this amount of data, expected strange factorsensitivity and uncertainty contributions [145] areGsE + 0.48GsM ± 0.0081(experimental) ± 0.0071(theoretical) (4.28)with the experimental uncertainty including both statistical and systematic contributions andthe theoretical uncertainty represented the additional form factor uncertainties. This precision isroughly three times smaller than that achieved in the G0 forward angle measurement. Additionally,PVA4 has backward angle data on deuterium at Q2=0.23 GeV2 and forward angle data on hydro-gen at Q2=0.6 GeV2 currently under analysis. Their uncertainties are expected to be comparableto those measured by G0.No other PVES measurements are currently planned apart from those explicitly mentions in thisdocument. However, measurements of so called generalized parton distributions functions (char-acterizing momentum and spin contribution to hadrons) can be used to determine the individualquark form factors [146]. This type of measurement will be a focus of the upgraded 12 GeV JLabphysics program as well as at COMPASS. A new global analysis, such as that performed in [91]for Q2 = 0.1 GeV2, should also be performed, with all the world PVES asymmetries included, toprovide a robust and consistent picture of the form factors across all Q2 values.Parity-violating asymmetries in inclusive single pion electroproduction from the proton were161Figure 4.5: Charge collected by HappeX-III.measured simultaneously with the G0 PVES data in the “inelastic” locus [147]. These measure-ments are sensitive to the spin response of the nucleon in transition to its first excited state, ∆,and can be characterized by GAN∆ (the N-∆ axial transition form factor). This will be the firstmeasurement of these values in the neutral weak sector and complement existing charge currentdata taken for 0.5 < Q2 < 2.5 GeV2.The beam normal spin (transverse) asymmetry data taken with the G0 apparatus from elasticelectron-proton scattering [148], described briefly in the analysis chapter, is proportional to theimaginary part of the two photon exchange amplitude. The real part of this amplitude is thoughtto be a major contribution to the discrepancy observed in the measured values of the ratio GE/GMcoming from Rosenbluth and polarization techniques. The amplitudes will be determined at bothG0 beam energies. Analysis on these additional physics topic from the G0 collaboration is nearingcompletion and publications are expected soon.Additionally, the low energy constant characterizing parity-violating γN∆ electroexcitation, d∆,has been determined from low energy, near threshold, pion measurements using the G0 deuteriumtarget [104] and excludes 75% of the current theoretical range at the 1 σ level [149]. A publicationis expected shortly on this topic as well.162Appendix ASystematic Uncertainties:Point-to-point and GlobalAn effort has been made to divide the systematic uncertainties in the G0 experiment intotwo primary pieces, a point-to-point and a global contribution. The point-to-point systematicuncertainty represents the uncertainties which are uncorrelated amongst the individual data sets,while the global contribution represents the uncertainties which are 100% correlated between sets.This has been done to simplify the correlation effects between parameters typically expressed using afull covariance matrix. To clarify, global uncertainties on the form factors shown in Fig. 4.4 indicatehow much all point may move together while the statistical plus point-to-point uncertainties showhow much one point may move relative to another.As an example, the beam polarization correction (described in Sec. 3.3.7) is a multiplicativefactor, (1/0.858) ± 0.02 ± 0.01 applied to all measured asymmetry values with point-to-point andglobal systematic uncertaintinties shown respectively. The point-to-point contribution arrises fromuncertainties in the experimental setup that varied with dataset like the setting of the Mo¨llermagnets, while the correlated global contribution arrises from uncertainties common among datasets like the Mo¨ller foil polarization. The point-to-point systematic piece adds uncertainties in theassociate asymmetry correction of σptA for a specific data set independent of the other asymmetryvalues, while the global contribution σglobalA indicates the amount to which all measured asymme-tries may vary together based on the beam polarization correction. These error pieces then feedinto the errors on the form factors in a similar way.163Appendix BRadiative correction calculationdetails.B.1 HydrogenA detailed report of the radiative corrections applied in G0 are provided in [121] which followsthe method of Tsai outlined in [134]; some of the more pertinent sections of which are providedhere.In G0GEANT the electron initial position, initial energy (Es), and final energy (Ef ) are ran-domly chosen for an interaction point in the target on and event by event basis, along with theelectron scattering angles, θ and φ. The energy values are modified in order to account for theresult of electromagnetic radiation (ionization losses which occur in the target prior to the scatter-ing event are treated separately and included in all simulations). Radiative effects are applied atthe cross-section level (per Mo and Tsai, [134]) and results are then used to determine correctionsneeded to determine the final radiated asymmetry value ARC . Each simulated event is randomlyassigned a final scattered energy, Ep. The value of this is used to divide radiative corrections intotwo distinct categories, the peak region, where Ep is within 1 MeV of the energy for elastic scat-tering, and the tail region, typically taken to >100 MeV away from the elastic peak. The statisticsof events thrown in each region were controllable in software.The expression for the peak cross section calculation isdσpeakdΩ= G(θ, tH2)dσelasdΩ· eδ(R∆EEs)bt(1− ξ∆E) (B.1)where dσelasdΩ is the elastic cross section, δ is given by Eq.(II.6) in [134], andG(θ, tH2) = 1 + 0.5772bt +αpi[pi26− Φ(cos2(θ2))](B.2)164with the Spence function, Φ, defined as Φ(x) =∫ x0−ln|1−y|y dy. ξ is a parameter in Landau stragglingand is given byξ = 0.154(za)Tx0 (B.3)T = target thickness in units of radiation lengthx0 = unit radiation length in gm/cm2The atomic number and the atomic weight are z and a , respectively. Additionally,b =43{1 + 19[(z + 1)(z + η)] [ln(183z−1/3]−1} (B.4)where η is due to the bremsstrahlung emission and is given byη =ln(1440a−2/3)ln(183z−1/3). (B.5)T, represents the “effective” total target thickness the electron passes through prior to scattering.These terms are combined as bt = bH2tH2 + bAltAl + bHetHe with tH2 the cryogenic fluid thicknessthe electron passes through prior to the scattering event, and tAl/tHe are the thickness of thealuminum windows and the helium cell, respectively. The position of the scattering event withinthe material is taken to be T2The term R∆E [134] is calculated usingR =ωsωp(B.6)where ωs is the maximum energy of a photon which can be emitted along the direction of theincident electron, and ωp is the maximum photon energy which can be emitted along the directionof the outgoing electronωs =u2 −M2P2M − 2Ep(1− cos θ) , (B.7)ωp =u2 −M2P2M + 2Ep(1− cos θ) . (B.8)165The missing mass squared isu2 = 2m2e +M2p +Q2 + 2Mp(Es − Ep). (B.9)Terms for external bremsstrahlung losses after the interaction, are calculated within G0GEANTseparately and are omitted in Eq. B.1. Asymmetry values are simply calculated in the peak usingthe adjusted kinematics.A separate “tail” calculation is performed when Ep is less than E′−∆E. In this case, ionization,internal and external bremsstrahlung, and virtual photons effects are accounted for as [134]dσtaildΩdEp= vb(t+tr)s{(dσelas(Es − ωs)dΩ)M + (Es − ωs)(1 − cos θ)M − Ep(1− cos θ)×((t+ tr) bωsφ(vs) +ξ2ω2s) +dσelas(Es)dΩ(btr1ωpφ(vp))} (B.10)wherevs =ωsEs(B.11)vp =ωpEp + ωp(B.12)tr =1bH2αpi[ln(Q2me2e− 1)](B.13)Internal bremsstrahlung is determined by two effective external radiators, each of thickness tr inradiation lengths, placed before are after the interaction [121]. φ(v) represents the bremsstrahlungdistribution with φ(0) = 1. Equation B.10 represents an average value between the case where anelectron with a final energy Ep emits a photon with energy Es before interaction or a photon withenergy ωp, is emitted after the interaction.The parity violating asymmetry for a tail event is formed by averaging the asymmetries forthe two different cases noted as, Apv(Es − ωs, θ) and Apv(Es, θ) weighted by the respective cross166sectionsARCtail{ dσtaildΩdEp} = vb(t+tr)s{(Apv(E − ωs)dσelas(Es − ωs)dΩ )M + (Es − ωs)(1 − cos θ)M − Ep(1− cos θ)×((t(1 −Dexttot ) + tr(1−Dinttot ))bωsφ(vs) +ξ2ω2s)+Apv(Es)dσelas(Es)dΩ(btr1ωpφ(vp))}. (B.14)This asymmetry calculation also corrects the incident electron for spin flip depolarization charac-terized by Dext and depolarization due to internal bremsstrahlung by Dint[121] .B.2 Deuterium SimulationThe deuterium radiated cross-section calculation uses the same procedure as hydrogen but withan additional energy variable included to account for broadening from non-zero nucleon momentumin the target nucleons.The cross section in deuterium is a function of the struck nucleons momentum internal to thenucleus. This was accounted for by generating an energy difference, ω = Es−Ef as function of thenucleons momentum. Ep is kept as a function of the radiated photon energy alone. The non-zeronucleon momentum is modeled in multiple ways. One method, y-scaling, assigns the magnitude ofthe struck nucleons momentum asy =(q · (pNq. (B.15)taking the mass of the nucleon as the mass of a proton, and the direction of the nucleons momentumto be the same as the direction of momentum transfer.This modifies Eq. B.9 asU2 = 2m2e +M2p −Q2 + 2(Es − Ep)√M2p + y2−2[E2s + EpEf − Es(Ef + Ep) cos θ]y√2EsEf (1− cos θ) + ω2(B.16)and Eqs. B.7 as B.8ωs =u2 −M2P2Eh − 2Ep(1− cos θ)− 2( (Pp · sˆ, (B.17)167ωp =u2 −M2P2Eh + 2Es(1− cos θ)− 2( (Pp · pˆ. (B.18)where(Pp · sˆ = y (Es − Ef cos θ)|q3| (B.19)(Pp · pˆ = y (Es cos θ − Ef )|q3| (B.20)andEh =√M2p + y2, (B.21)|q3| =√2EsEf (1− cos θ) + ω2 (B.22)A second model which treated the deuterium as a series of elastic scattering off of “heavier”nucleons was implemented as a comparison to the the y-scaling model described above. Under thismodel the equations above are used with y = 0 and Mp assigned by solving:Ef =Es1 + 2EsMpsin2(θ2) (B.23)A comparison of these two models along with a full continuum correction per Tsai is shownin Figure B.1. Although there are large differences in the low energy tails, the models are fairlyconsistent in the peak regions. A 5% uncertainty on yields in the elastic locus is assigned to accountfor these differences.168     Figure B.1: Comparison of radiative correction models in deuterium.169Appendix CCˇerenkov StudiesTwo important intrinsic properties of the G0 Cˇerenkov boxes were a non-negligible positiondependent efficiency and a probability for real pions to generate a electron-like response introducingan important background to the electron measurements. The techniques used to determine bothproperties are described below.C.0.1 EfficienciesUnderstanding the efficiencies of the Cˇerenkov detectors is crucial in order to accurately comparemeasured rates to those from simulation. For this reason a variety of techniques were used to obtainthese values and were cross checked against one another. The primary technique used requireddedicated test runs with pulse frequency decreased to 31 MHz. The extended time between pulses,allowed higher resolution TOF spectra of the pions and electrons to be acquired in the FASTBUStiming electronics. The summed (electron plus pion) spectra were fit to two guassians to determinethe relative widths and height of the individual contributions (Fig. C.1). The events associate (ornot) with a Cˇerenkov trigger were then separated (Fig. C.1). A ratio of the number of electronsidentified by the Cˇerenkov over the total number determined by summed the fit then establishesthe efficiency of the detector [141]. The efficiencies determined in this way are shown for the M2trigger in Figure C.2 with uncertainties at the level of a few percent. With the Cˇerenkov trigger setto M3, all effiencies are reduce by ∼ 15%. The efficiencies were also determined from the 31MHzdata by generating the Cˇerenkov trigger in software via the ARS data (more on ARS below) andin general the two agree.Cˇerenkov efficiencies were also obtained from dedicated runs were the coincidence rate in theindividual cells were measured with both M2 and M3 multiplicity signals. The ratio of these ratesis proportions to the ratio of efficiencies in each configuration. Assuming a functional form for the170     (a) 362 MeV D with Fits      (b) 362 MeV D with Triggered spectra     (c) 687 MeV D with Fits     (d) 687 MeV D with Triggered spectraFigure C.1: TOF spectra with the summed two Gaussian fit results on the left and the Cˇerenkovtriggered (M2) events on the right. Electron events are shown in blue, pions in red. The electrontiming window used in the analysis is shown by the green lines.probability of a given tube firing in a certain timing windowP =uxe−ux!(C.1)where x is the the number of events and u is the mean event rate, the individual efficiency can beextracted [141]. Further, a simulation was used to obtain the average Cˇerenkov positions and angle171Figure C.2: Cˇerenkov Efficiency Matrix (M2 Trigger)of electrons in a given coincidence pair. This information was then used to extract the efficienciesbased on controlled in-beam tests performed at TRIUMF to map out these responses [142]. Thecell by cell comparison of results from all methods, which are in good agreement, are shown inFigure C.3.C.0.2 Misidentified PionsAn important background to measure for the elastic electron measurement are misidentifiedpions which are recorded to the electron channel of the standard G0 electrons. This pion contam-ination was primarily determined using an analysis from the Analog Ring Sampler (ARS) [130].These were supplemental electronics equipped to obtain digitized timing spectra from all Cˇerenkovphototubes. From this data, the number of photoelectrons produced from a given event can bedetermined and histogrammed (Fig. C.4, black distribution show single tube response). This dis-tribution is then fit to a summed poisson distribution for both electron and pions (Fig. C.4: blackline). The individual contributions are then backed out (Fig. C.4: red line, pions; blue line elec-172       Figure C.3: Efficiency Comparisonstrons) and compared again the Cˇerenkov triggered ARS spectra (Fig. C.4: purple distribution).The residual pion tail from the fit under the Cˇerenkov triggered distributions determines the pioncontamination in the triggered electron signal. Results from this analysis were again compared toTRIUMF test results as well as to monte carlo. The systematic uncertainty from the fit parametersis reflected in the contamination results given in Section 3.3.3.      (a) 362 MeV ARS spectrum       (b) 687 MeV ARS spectrumFigure C.4: ARS spectra. The fit is a modified Poisson distribution convoluted with a gaussian.Electrons in blue, pions in red and the purple histogram represents the events triggered by theCˇerenkov detector.173Appendix DDrift ChambersIn March 2007, a pair of drift chambers were placed into octant 7 of the detector system in anattempt provide a higher resolution measurement of scattered particle’s angle and momentum fromthe deuterium at high energy. Two drift chambers (DC1 and DC2) used in the HKS spectrometerfor experiment E01-011 were used for this purpose. These chambers, with specifications listed inTable D.1 [150], provide positional and angular tracking of charged particles passing through the12 wire layers. The orientation of the wire plans is shown in Figure D.1.Table D.1: HKS Drift Chamber SpecificationsGeometrical parametersDimensions (L×W×T) 59.25” × 22.75” × 3”Active Region 48.2” × 12”Wire Plane Configuration U,U ′,X,X ′, V, V ′Position and Angular ResolutionPosition(X) 162 µm(rms)Position(Y) 163 µm(rms)Angular ∼ 2.5 mradOperational ParametersOperational HV 1970 VThreshold 3.0 VGas content Argon/Ethane 50:50 mixtureGas Pressure ∼ 16 psiFor the G0 experiment, the two chambers were mechanically coupled with a spacing of 8.16cm between the centers of the active detection volumes. The chambers were mounted to the ferriswheel in octant 7 on rails and could be moved in and out of the normal detector set acceptance(See Fig D.2). With this setup, mechanic interference restricted the chambers from being insertedto provide full coverage of the CED/FPD detection space, and only the central third of the FPDscintillators were covered (in φ) due to the 12 inch width of the chamber detection area. Figure D.3174 Figure D.1: A schematic of the wire orientation of each wire plan in the HKS drift chamber.(a) Drawing (b) PhotoFigure D.2: a) A schematic in the drift chamber rail system installed on octant 7. b) Photo of theretracted chamber with cabling.show the drift chamber detection rate from low current LD2 687 running in coincidence with eachCED/FPD pair. Simulation of the chamber response was performed using GEANT (see Fig. D.4);and a 10 fold increase in resolution for elastic/inelastic separation and background measurementwas expected over the standard G0 detector setup.Drift chamber data were recorded by VME F1 TDC logic modules, also used by the HKSexperiment, which are multi-hit TDCs with 1 microsecond buffered full scale range [150]. Theseelectronics, housed in a shielded hut in the experimental hall, were fed a copy of the G0 coincidencetrigger signal as a common stop signal for the TDC recording. A standard set to of Hall C DAQ175Figure D.3: CED/FPD and drift chamber acceptance shown in CED/FPD space.Theta-4 -3 -2 -1 0 1 2 3 4kHz/cm00.511.522.5FPD #2 4 6 8 10 12 14 16kHz00.10.20.30.40.50.60.7CED_3 CED_3Figure D.4: Left: Plot of simulated FPD yield of CED3. Right: Drift chamber yield vs thetafor CED 3. Red lines correspond to elastic electrons, while the blue lines correspond to inelasticelectrons.electronics is used for control of this setup. Beam currents of ∼2µA were used to avoid saturatingthe wire signals and tripping off the high voltage supplies.A series of 2 µA, 10 minute runs were taken in March 2007 to acquire yield information inthe drift chambers. These data sets contain no helicity information and so are not suitable for176asymmetry analysis. Additionally, coincidence logic information was not available for the driftchamber data, so the HV on certain sets of detectors was turned off for each run so that CED/FPDcoincidence could be determined from position information. Table D.2 lists the active CED andfed detectors for each run along with the run numbering from the G0 and HallC DAQ.CED FPD HC Run G0 RunALL ALL 62300-623041,4,7 3,6,9,12,15 62306 34719 (PS3), 347201,4,7 4,7,10,13,16 62310 347251,4,7 5,8,11,14 62311 347262,5,8 5,8,11,14 62312 347272,5,8 4,7,10,13,16 62307, 62308 34722, 347232,5,8 3,6,9,12,15 62313 347283,6,9 3,6,9,12,15 62314 347293,6,9 4,7,10,16,13 62315 347303,6,9 5,8,11,14 62316 34731Table D.2: Drift chamber runs are shown with active CED/FPD pairs in octant 7 and Hall C/G0DAQ run numbering.Reconstruction of the of the tracks in the drift chamber was done using a modified versionof the Hall SOS (Short Orbit Spectrometer) tracking software designed for use with the HKSexperiment [150]. This software calculates a trajectory angle and position projected to the faceof the detector. Figure D.5 shows the reconstructed tracks in black along with simulated tracksfor both quasi-elastic and quasi-elastic plus inelastic deuteron-electron scattering. Figure D.5(a)shows good agreement, between the data and simulations, of the acceptance of the drift chamberswith all CED/FPD pairs active. A line in theta/position space which optimally separated inelasticevents from the elastics was determined from this total distribution. The tracking distributionswere projected onto this line for additional analysis.Figures D.5(b) and D.5(c) shows the angle vs position distributions and associated projectionfor run 62313 with CEDs 2,5, and 8 and FPDs 3,6,9,12, and 15 active. One can see that theCED/FPD coincidence pairs are unambiguously identifiable. However, the projected distributionfor data, shown in black, does not agree with the simulated electron results. This discrepancywas determined to come from the inclusion of pion-like event in the drift-chamber data. In thisway, normalization of rates and the determination of background fraction in any give cell, was not177possible.(a) Tracking results all CEDs/FPDs(b) Tracking results specfic CEDs/FPDs (c) ProjectionFigure D.5: Drifts chamber tracking results. a) The angle and position of each track is shown.Black:data, Green:Simulated quasi-elastic electron, Red:Simulated quasi-elastic plus inelastic elec-trons. The black line mark the quasi-elastic/inelastic threshold which the tracking results areprojected onto b) Tracking for Run 62313 CED 2,5,8 FPD 3,6,9,12,15 c) Projection; blue is simu-lated inelastic electrons alone.178Appendix ESongsheet179Figure E.1: Songsheet180Appendix FCell by Cell field scan tablesTables for each target and energy combination showing all the values described Section 3.3.4above for all cells which were fit, as well as sother. The following abbreviations have been made forcompactness: meas - measured; tot - total; back - background; ela - elastic; sim - simulation; oct -octant; nom - nominal. All yields are in units of Hz/µA. The octant field scaling soctant is listed inthe caption as sbfil.181CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.80255±0.02784 -0.07812 0.04699±0.00117 0.00704±0.00059 0.85015±0.01314 0.01070 0.00661 0.00034 0.00065 0.00375 0.818191 4 0.78115±0.02806 -0.16961 0.02397±0.00060 0.00528±0.00044 0.77963±0.01932 0.01586 0.00954 0.00027 0.00052 0.00551 0.773461 5 0.73454±0.00926 -0.17327 0.01324±0.00033 0.00489±0.00024 0.63055±0.02032 0.00889 0.01449 0.00287 0.00552 0.00924 0.657591 6 0.79202±0.00784 -0.04749 0.01200±0.00030 0.00956±0.00103 0.20310±0.08840 0.01012 0.02261 0.03804 0.07320 0.01992 0.493411 7 0.75763±0.00517 -0.00026 0.01854±0.00046 0.01663±0.00083 0.10335±0.05012 0.01075 0.02648 0.01593 0.03065 0.02242 0.212361 8 0.61748±0.00708 -0.00002 0.00746±0.00019 0.00754±0.00038 -0.01103±0.05647 0.02422 0.04260 0.00563 0.01084 0.02528 0.270951 9 1.06142±0.01927 -0.00007 0.00152±0.00004 0.00336±0.00032 -1.21634±0.21483 0.08981 0.18073 0.02236 0.04302 0.05541 0.009012 4 0.74199±0.03212 -0.04330 0.03002±0.00075 0.00438±0.00045 0.85405±0.01549 0.01280 0.00792 0.00003 0.00007 0.00365 0.818322 5 0.77919±0.03061 -0.14510 0.02083±0.00052 0.00459±0.00041 0.77983±0.02044 0.01689 0.00987 0.00100 0.00193 0.00550 0.833072 6 0.78484±0.01276 -0.14682 0.01097±0.00027 0.00437±0.00025 0.60160±0.02474 0.01176 0.01545 0.00537 0.01033 0.00996 0.636312 7 0.84472±0.00753 -0.02653 0.01192±0.00030 0.00958±0.00102 0.19583±0.08764 0.00893 0.02229 0.03774 0.07263 0.02010 0.435202 8 0.83878±0.00844 -0.00014 0.01523±0.00038 0.01356±0.00068 0.10951±0.04967 0.01650 0.03532 0.00980 0.01886 0.02226 0.123062 9 0.77043±0.00772 -0.00010 0.01281±0.00032 0.01181±0.00057 0.07842±0.05020 0.01982 0.03644 0.00756 0.01455 0.02304 0.032542 10 0.64652±0.00799 -0.00002 0.00297±0.00007 0.00254±0.00077 0.14592±0.26045 0.03887 0.08344 0.11191 0.21537 0.02135 0.018633 5 0.73540±0.02993 -0.05068 0.03071±0.00077 0.00443±0.00043 0.85563±0.01436 0.01168 0.00749 0.00034 0.00066 0.00361 0.788443 6 0.83672±0.03081 -0.17986 0.02434±0.00061 0.00581±0.00049 0.76140±0.02111 0.01762 0.00998 0.00025 0.00047 0.00597 0.725183 7 0.81686±0.01038 -0.16322 0.01346±0.00034 0.00568±0.00029 0.57839±0.02398 0.00977 0.01549 0.00523 0.01006 0.01054 0.652963 8 0.87217±0.00907 -0.01462 0.01417±0.00035 0.01226±0.00138 0.13480±0.09999 0.01043 0.02088 0.04371 0.08412 0.02163 0.644133 9 0.91326±0.00607 -0.00007 0.02298±0.00057 0.02085±0.00082 0.09252±0.04224 0.01102 0.02601 0.01001 0.01927 0.02269 0.074683 10 0.86595±0.00722 -0.00009 0.01643±0.00041 0.01474±0.00085 0.10303±0.05620 0.01751 0.03171 0.01690 0.03253 0.02242 0.000033 11 0.80489±0.00820 -0.00002 0.00319±0.00008 0.00195±0.00109 0.38924±0.34334 0.03701 0.08703 0.15202 0.29257 0.01527 0.006284 6 0.86250±0.03524 -0.05036 0.02453±0.00061 0.00393±0.00040 0.83983±0.01668 0.01319 0.00939 0.00006 0.00011 0.00400 0.759184 7 0.82445±0.02593 -0.22544 0.02841±0.00071 0.00667±0.00053 0.76535±0.01962 0.01541 0.01042 0.00096 0.00184 0.00587 0.723034 8 0.86198±0.01023 -0.15686 0.01351±0.00034 0.00639±0.00031 0.52660±0.02600 0.01015 0.01617 0.00603 0.01161 0.01183 0.593894 9 0.91539±0.00603 -0.01976 0.02154±0.00054 0.01861±0.00165 0.13584±0.07962 0.00754 0.02255 0.03359 0.06465 0.02160 0.256844 10 0.91631±0.00686 -0.00011 0.03002±0.00075 0.02668±0.00090 0.11119±0.03730 0.01296 0.02578 0.00372 0.00716 0.02222 0.033544 11 0.92955±0.00632 -0.00002 0.02101±0.00053 0.01792±0.00168 0.14711±0.08291 0.01578 0.03364 0.03273 0.06299 0.02132 0.134304 12 0.89074±0.00898 -0.00004 0.00236±0.00006 0.00116±0.00080 0.51123±0.33763 0.03586 0.10306 0.14721 0.28331 0.01222 0.000435 7 0.96236±0.05397 -0.03839 0.01358±0.00034 0.00241±0.00032 0.82259±0.02416 0.01962 0.01335 0.00048 0.00092 0.00444 0.647555 8 0.91104±0.04015 -0.17592 0.01987±0.00050 0.00568±0.00055 0.71409±0.02842 0.02433 0.01242 0.00147 0.00283 0.00715 0.711575 9 0.89678±0.01147 -0.15680 0.01392±0.00035 0.00679±0.00034 0.51199±0.02761 0.01126 0.01771 0.00607 0.01169 0.01220 0.594305 10 0.92020±0.00696 -0.00830 0.02246±0.00056 0.01977±0.00169 0.11951±0.07847 0.00906 0.02599 0.03233 0.06221 0.02201 0.357665 11 0.96099±0.00652 -0.00006 0.03052±0.00076 0.02687±0.00086 0.11952±0.03574 0.01212 0.02540 0.00040 0.00078 0.02201 0.140565 12 0.87015±0.00668 -0.00007 0.01409±0.00035 0.01065±0.00158 0.24460±0.11385 0.01795 0.04123 0.04744 0.09129 0.01889 0.016965 13 0.86333±0.00822 -0.00000 0.00162±0.00004 0.00057±0.00050 0.64929±0.30832 0.02812 0.10692 0.13265 0.25527 0.00877 0.000006 8 1.31413±0.11251 -0.01890 0.00636±0.00016 0.00111±0.00024 0.82529±0.03796 0.03066 0.02195 0.00018 0.00036 0.00437 0.834226 9 0.95993±0.02932 -0.17524 0.02016±0.00050 0.00588±0.00043 0.70857±0.02257 0.01641 0.01227 0.00278 0.00535 0.00729 0.702416 10 0.91287±0.01135 -0.17555 0.01744±0.00044 0.00928±0.00048 0.46778±0.03049 0.01145 0.01632 0.00869 0.01673 0.01331 0.496906 11 0.97609±0.00593 -0.00543 0.03505±0.00088 0.03098±0.00213 0.11631±0.06469 0.00783 0.02062 0.02613 0.05028 0.02209 0.209316 12 1.00631±0.00582 -0.00008 0.03197±0.00080 0.02952±0.00090 0.07668±0.03632 0.01069 0.02583 0.00104 0.00199 0.02308 0.061266 13 0.96762±0.00720 -0.00006 0.01521±0.00038 0.01212±0.00173 0.20371±0.11553 0.01869 0.04391 0.04764 0.09168 0.01991 0.000306 14 0.94536±0.00913 -0.00003 0.00249±0.00006 0.00098±0.00064 0.60588±0.25634 0.02678 0.10652 0.10670 0.20535 0.00985 0.120017 9 3.06561±0.99395 -0.00102 0.00372±0.00009 0.00036±0.00035 0.90205±0.09295 0.08430 0.03902 0.00103 0.00198 0.00245 0.805607 10 1.15152±0.04420 -0.10128 0.01242±0.00031 0.00387±0.00038 0.68816±0.03179 0.02427 0.01900 0.00007 0.00013 0.00780 0.612207 11 0.99763±0.00826 -0.16074 0.02051±0.00051 0.01261±0.00077 0.38526±0.04047 0.00789 0.01728 0.01488 0.02863 0.01537 0.552397 12 1.01371±0.00660 -0.00195 0.03352±0.00084 0.02972±0.00184 0.11357±0.05906 0.00877 0.02309 0.02253 0.04335 0.02216 0.141767 13 1.01217±0.00716 -0.00004 0.03114±0.00078 0.02812±0.00101 0.09708±0.03941 0.01301 0.02954 0.00064 0.00122 0.02257 0.000777 14 1.01115±0.00829 -0.00009 0.01924±0.00048 0.01582±0.00167 0.17751±0.08933 0.01937 0.03631 0.03531 0.06795 0.02056 0.062787 15 0.88026±0.00677 -0.00005 0.00349±0.00009 0.00145±0.00080 0.58515±0.23021 0.01971 0.07366 0.10004 0.19253 0.01037 0.000138 10 1.45459±0.30793 -0.00015 0.00609±0.00015 0.00009±0.00006 0.98475±0.01024 0.00738 0.00709 0.00014 0.00027 0.00038 0.986998 11 1.87433±0.17041 -0.03373 0.00818±0.00020 0.00219±0.00043 0.73273±0.05268 0.04588 0.02493 0.00098 0.00188 0.00668 0.450238 12 1.18428±0.01388 -0.08045 0.01653±0.00041 0.01058±0.00067 0.35995±0.04368 0.01099 0.02046 0.01538 0.02959 0.01600 0.472048 13 1.06090±0.00718 -0.00850 0.03430±0.00086 0.03065±0.00208 0.10643±0.06460 0.00868 0.02465 0.02522 0.04853 0.02234 0.226998 14 1.02908±0.00647 -0.00028 0.04434±0.00111 0.03968±0.00128 0.10504±0.03648 0.01076 0.02451 0.00492 0.00946 0.02237 0.040168 15 1.00519±0.00676 -0.00004 0.02888±0.00072 0.02548±0.00193 0.11747±0.07023 0.01546 0.03182 0.02606 0.05015 0.02206 0.028388 16 0.92717±0.01178 -0.00021 0.00311±0.00008 0.00124±0.00069 0.60249±0.22198 0.03094 0.10127 0.08984 0.17289 0.00994 0.043729 11 1.32158±0.30798 -0.00005 0.00478±0.00012 0.00017±0.00026 0.96403±0.05467 0.03610 0.04046 0.00317 0.00611 0.00090 0.985759 12 1.20053±0.21674 -0.00007 0.00725±0.00018 0.00023±0.00016 0.96868±0.02154 0.01364 0.01662 0.00052 0.00100 0.00078 0.990889 13 1.18579±0.18974 -0.00011 0.00886±0.00022 0.00024±0.00014 0.97340±0.01630 0.01200 0.01083 0.00091 0.00176 0.00066 0.983199 14 1.55488±0.15350 -0.00007 0.01874±0.00047 0.00655±0.00105 0.65070±0.05685 0.04946 0.02226 0.00674 0.01298 0.00873 0.911459 15 1.18165±0.03365 -0.00027 0.05521±0.00138 0.04139±0.00266 0.25032±0.05167 0.04156 0.02374 0.00245 0.00472 0.01874 0.622329 16 1.08226±0.01739 -0.00012 0.06786±0.00170 0.05455±0.00283 0.19618±0.04626 0.02944 0.02054 0.00975 0.01877 0.02010 0.29738Table F.1: Pass 3 Target LH2, Energy 687, Octant 1, sbfil= 1.00800 ± 0.00500, r= 15.07922.182CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.76488±0.02645 -0.07782 0.04528±0.00113 0.00672±0.00054 0.85157±0.01244 0.01008 0.00624 0.00035 0.00065 0.00371 0.818191 4 0.75371±0.02670 -0.16894 0.02308±0.00058 0.00509±0.00041 0.77932±0.01840 0.01498 0.00914 0.00028 0.00052 0.00552 0.773461 5 0.78235±0.01010 -0.17258 0.01300±0.00033 0.00519±0.00024 0.60105±0.02124 0.00944 0.01501 0.00291 0.00537 0.00997 0.657591 6 0.80950±0.00811 -0.04730 0.01188±0.00030 0.00948±0.00100 0.20159±0.08634 0.01009 0.02230 0.03828 0.07065 0.01996 0.493411 7 0.70276±0.00481 -0.00026 0.01717±0.00043 0.01526±0.00078 0.11105±0.05037 0.01033 0.02535 0.01714 0.03163 0.02222 0.212361 8 0.54462±0.00616 -0.00002 0.00672±0.00017 0.00667±0.00032 0.00769±0.05359 0.02235 0.03983 0.00622 0.01149 0.02481 0.270951 9 1.03231±0.01937 -0.00007 0.00128±0.00003 0.00330±0.00030 -1.58728±0.24033 0.10267 0.19985 0.02650 0.04892 0.06468 0.009012 4 0.73770±0.03191 -0.04313 0.02983±0.00075 0.00436±0.00043 0.85394±0.01484 0.01223 0.00757 0.00003 0.00006 0.00365 0.818322 5 0.76145±0.02960 -0.14453 0.02032±0.00051 0.00447±0.00038 0.77999±0.01950 0.01600 0.00945 0.00102 0.00189 0.00550 0.833072 6 0.82418±0.01368 -0.14624 0.01057±0.00026 0.00455±0.00025 0.56948±0.02581 0.01249 0.01609 0.00555 0.01024 0.01076 0.636312 7 0.82588±0.00747 -0.02642 0.01129±0.00028 0.00907±0.00098 0.19657±0.08886 0.00893 0.02197 0.03966 0.07319 0.02009 0.435202 8 0.78306±0.00795 -0.00013 0.01413±0.00035 0.01256±0.00062 0.11060±0.04889 0.01599 0.03394 0.01052 0.01941 0.02223 0.123062 9 0.70118±0.00695 -0.00010 0.01200±0.00030 0.01080±0.00050 0.10034±0.04758 0.01818 0.03381 0.00804 0.01483 0.02249 0.032542 10 0.62579±0.00774 -0.00002 0.00273±0.00007 0.00262±0.00074 0.04030±0.27197 0.03913 0.08394 0.12128 0.22385 0.02399 0.018633 5 0.70951±0.02889 -0.05048 0.02975±0.00074 0.00427±0.00039 0.85645±0.01370 0.01112 0.00713 0.00035 0.00065 0.00359 0.788443 6 0.79065±0.02880 -0.17915 0.02299±0.00057 0.00548±0.00044 0.76146±0.02010 0.01665 0.00953 0.00026 0.00048 0.00596 0.725183 7 0.80665±0.01046 -0.16258 0.01249±0.00031 0.00556±0.00028 0.55488±0.02477 0.01014 0.01575 0.00561 0.01036 0.01113 0.652963 8 0.83872±0.00881 -0.01456 0.01305±0.00033 0.01138±0.00133 0.12783±0.10427 0.01051 0.02083 0.04728 0.08727 0.02180 0.644133 9 0.85476±0.00570 -0.00007 0.02137±0.00053 0.01936±0.00075 0.09404±0.04192 0.01061 0.02501 0.01072 0.01979 0.02265 0.074683 10 0.83108±0.00689 -0.00009 0.01599±0.00040 0.01433±0.00080 0.10381±0.05462 0.01641 0.02988 0.01730 0.03194 0.02240 0.000033 11 0.76148±0.00770 -0.00002 0.00269±0.00007 0.00213±0.00105 0.20529±0.39128 0.03942 0.09339 0.17979 0.33182 0.01987 0.006284 6 0.83367±0.03393 -0.05016 0.02353±0.00059 0.00380±0.00037 0.83863±0.01606 0.01265 0.00904 0.00006 0.00011 0.00403 0.759184 7 0.78199±0.02440 -0.22455 0.02694±0.00067 0.00634±0.00048 0.76463±0.01876 0.01461 0.00996 0.00101 0.00186 0.00588 0.723034 8 0.85471±0.01038 -0.15624 0.01268±0.00032 0.00628±0.00030 0.50435±0.02665 0.01048 0.01631 0.00640 0.01182 0.01239 0.593894 9 0.89081±0.00593 -0.01968 0.01989±0.00050 0.01760±0.00159 0.11513±0.08274 0.00768 0.02270 0.03623 0.06686 0.02212 0.256844 10 0.88400±0.00660 -0.00011 0.02881±0.00072 0.02566±0.00083 0.10919±0.03645 0.01241 0.02475 0.00386 0.00712 0.02227 0.033544 11 0.84955±0.00573 -0.00002 0.01966±0.00049 0.01684±0.00159 0.14325±0.08373 0.01461 0.03140 0.03485 0.06432 0.02142 0.134304 12 0.79301±0.00780 -0.00004 0.00196±0.00005 0.00125±0.00076 0.36438±0.38767 0.03586 0.10563 0.17671 0.32614 0.01589 0.000435 7 0.89752±0.05011 -0.03824 0.01272±0.00032 0.00224±0.00029 0.82367±0.02296 0.01858 0.01270 0.00051 0.00094 0.00441 0.647555 8 0.84368±0.03676 -0.17523 0.01862±0.00047 0.00524±0.00048 0.71853±0.02670 0.02270 0.01173 0.00156 0.00289 0.00704 0.711575 9 0.86011±0.01123 -0.15618 0.01293±0.00032 0.00646±0.00032 0.50079±0.02785 0.01133 0.01746 0.00651 0.01201 0.01248 0.594305 10 0.88528±0.00675 -0.00826 0.02086±0.00052 0.01851±0.00162 0.11229±0.08082 0.00904 0.02572 0.03467 0.06399 0.02219 0.357665 11 0.87714±0.00593 -0.00006 0.02794±0.00070 0.02453±0.00075 0.12188±0.03465 0.01152 0.02419 0.00044 0.00081 0.02195 0.140565 12 0.74875±0.00571 -0.00007 0.01231±0.00031 0.00956±0.00149 0.22394±0.12266 0.01676 0.03879 0.05407 0.09980 0.01940 0.016965 13 0.72285±0.00678 -0.00000 0.00122±0.00003 0.00060±0.00047 0.50975±0.38645 0.02939 0.11349 0.17533 0.32359 0.01226 0.000006 8 1.08293±0.09365 -0.01883 0.00522±0.00013 0.00092±0.00019 0.82439±0.03667 0.02970 0.02105 0.00022 0.00041 0.00439 0.834226 9 0.84718±0.02570 -0.17455 0.01811±0.00045 0.00515±0.00037 0.71566±0.02143 0.01530 0.01152 0.00309 0.00569 0.00711 0.702416 10 0.85418±0.01083 -0.17486 0.01585±0.00040 0.00858±0.00045 0.45869±0.03117 0.01148 0.01604 0.00952 0.01758 0.01353 0.496906 11 0.89593±0.00549 -0.00541 0.03151±0.00079 0.02778±0.00203 0.11823±0.06814 0.00770 0.02011 0.02895 0.05343 0.02204 0.209316 12 0.87732±0.00507 -0.00008 0.02807±0.00070 0.02571±0.00075 0.08399±0.03512 0.01012 0.02450 0.00117 0.00217 0.02290 0.061266 13 0.81613±0.00604 -0.00006 0.01281±0.00032 0.01069±0.00162 0.16612±0.12845 0.01778 0.04200 0.05634 0.10398 0.02085 0.000306 14 0.76013±0.00715 -0.00003 0.00192±0.00005 0.00095±0.00059 0.50614±0.30934 0.02598 0.10604 0.13776 0.25425 0.01235 0.120017 9 2.09105±0.67377 -0.00102 0.00258±0.00006 0.00025±0.00022 0.90121±0.08691 0.07870 0.03666 0.00148 0.00273 0.00247 0.805607 10 0.99292±0.03783 -0.10088 0.01073±0.00027 0.00334±0.00031 0.68889±0.03025 0.02295 0.01810 0.00008 0.00015 0.00778 0.612207 11 0.91660±0.00774 -0.16010 0.01784±0.00045 0.01136±0.00072 0.36299±0.04362 0.00811 0.01744 0.01704 0.03144 0.01593 0.552397 12 0.90921±0.00598 -0.00194 0.02972±0.00074 0.02611±0.00173 0.12155±0.06225 0.00855 0.02231 0.02531 0.04671 0.02196 0.141767 13 0.87051±0.00614 -0.00004 0.02701±0.00068 0.02420±0.00083 0.10421±0.03791 0.01228 0.02798 0.00073 0.00135 0.02239 0.000777 14 0.83998±0.00686 -0.00009 0.01597±0.00040 0.01359±0.00155 0.14858±0.09954 0.01846 0.03471 0.04237 0.07820 0.02129 0.062787 15 0.70964±0.00537 -0.00005 0.00271±0.00007 0.00136±0.00076 0.49681±0.28017 0.01923 0.07308 0.12838 0.23695 0.01258 0.000138 10 1.25004±0.26731 -0.00015 0.00518±0.00013 0.00008±0.00005 0.98444±0.00993 0.00719 0.00683 0.00017 0.00030 0.00039 0.986998 11 1.50321±0.13710 -0.03360 0.00649±0.00016 0.00174±0.00033 0.73155±0.05101 0.04440 0.02405 0.00123 0.00226 0.00671 0.450238 12 1.05773±0.01260 -0.08013 0.01417±0.00035 0.00924±0.00062 0.34801±0.04702 0.01112 0.02037 0.01787 0.03298 0.01630 0.472048 13 0.95366±0.00651 -0.00847 0.03043±0.00076 0.02690±0.00197 0.11607±0.06828 0.00848 0.02386 0.02831 0.05226 0.02210 0.226998 14 0.88597±0.00556 -0.00028 0.03814±0.00095 0.03401±0.00108 0.10832±0.03598 0.01027 0.02343 0.00569 0.01050 0.02229 0.040168 15 0.88294±0.00590 -0.00004 0.02595±0.00065 0.02291±0.00179 0.11727±0.07246 0.01434 0.02970 0.02888 0.05330 0.02207 0.028388 16 0.83741±0.01045 -0.00021 0.00271±0.00007 0.00130±0.00065 0.51962±0.23999 0.03011 0.10029 0.10271 0.18957 0.01201 0.043729 11 0.87812±0.20749 -0.00005 0.00315±0.00008 0.00012±0.00017 0.96039±0.05351 0.03525 0.03897 0.00480 0.00885 0.00099 0.985759 12 0.93005±0.16925 -0.00007 0.00558±0.00014 0.00018±0.00012 0.96794±0.02082 0.01323 0.01600 0.00067 0.00124 0.00080 0.990889 13 0.96438±0.15537 -0.00011 0.00714±0.00018 0.00020±0.00011 0.97229±0.01584 0.01165 0.01044 0.00113 0.00208 0.00069 0.983199 14 1.13736±0.11284 -0.00007 0.01359±0.00034 0.00467±0.00076 0.65610±0.05661 0.04788 0.02144 0.00926 0.01709 0.00860 0.911459 15 0.99315±0.02837 -0.00027 0.04638±0.00116 0.03468±0.00215 0.25230±0.04988 0.03984 0.02269 0.00291 0.00536 0.01869 0.622329 16 0.89629±0.01424 -0.00012 0.05790±0.00145 0.04564±0.00236 0.21174±0.04529 0.02700 0.01905 0.01138 0.02101 0.01971 0.29738Table F.2: Pass 3 Target LH2, Energy 687, Octant 2, sbfil= 1.01200 ± 0.00500, r= 15.11645.183CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.75394±0.02592 -0.07705 0.04494±0.00112 0.00665±0.00047 0.85206±0.01105 0.00882 0.00549 0.00035 0.00058 0.00370 0.818191 4 0.71804±0.02444 -0.16728 0.02339±0.00058 0.00484±0.00033 0.79296±0.01512 0.01198 0.00761 0.00027 0.00045 0.00518 0.773461 5 0.72489±0.00995 -0.17090 0.01238±0.00031 0.00475±0.00021 0.61589±0.01921 0.00866 0.01295 0.00303 0.00500 0.00960 0.657591 6 0.76269±0.00785 -0.04684 0.01038±0.00026 0.00826±0.00090 0.20436±0.08925 0.00991 0.02131 0.04339 0.07166 0.01989 0.493411 7 0.75303±0.00520 -0.00026 0.01799±0.00045 0.01592±0.00072 0.11506±0.04565 0.00944 0.02297 0.01619 0.02674 0.02212 0.212361 8 0.64348±0.00705 -0.00002 0.00815±0.00020 0.00793±0.00033 0.02613±0.04714 0.01869 0.03440 0.00509 0.00840 0.02435 0.270951 9 0.99586±0.01624 -0.00007 0.00189±0.00005 0.00325±0.00025 -0.71972±0.13771 0.05147 0.11531 0.01772 0.02926 0.04299 0.009012 4 0.69858±0.03016 -0.04271 0.02836±0.00071 0.00413±0.00036 0.85448±0.01318 0.01077 0.00668 0.00004 0.00006 0.00364 0.818322 5 0.73811±0.02771 -0.14312 0.02084±0.00052 0.00430±0.00032 0.79355±0.01613 0.01294 0.00791 0.00099 0.00163 0.00516 0.833072 6 0.76570±0.01336 -0.14481 0.01047±0.00026 0.00414±0.00021 0.60459±0.02259 0.01091 0.01337 0.00555 0.00916 0.00989 0.636312 7 0.84917±0.00798 -0.02616 0.01066±0.00027 0.00859±0.00089 0.19485±0.08592 0.00895 0.02119 0.04159 0.06869 0.02013 0.435202 8 0.82021±0.00850 -0.00013 0.01453±0.00036 0.01292±0.00057 0.11044±0.04508 0.01473 0.03064 0.01013 0.01673 0.02224 0.123062 9 0.76046±0.00723 -0.00010 0.01320±0.00033 0.01185±0.00048 0.10196±0.04248 0.01526 0.02954 0.00724 0.01195 0.02245 0.032542 10 0.69068±0.00775 -0.00002 0.00377±0.00009 0.00334±0.00068 0.11465±0.18115 0.02511 0.05942 0.08693 0.14356 0.02213 0.018633 5 0.66812±0.02725 -0.04998 0.02802±0.00070 0.00401±0.00033 0.85696±0.01227 0.00986 0.00631 0.00037 0.00061 0.00358 0.788443 6 0.79944±0.02826 -0.17739 0.02452±0.00061 0.00554±0.00039 0.77426±0.01675 0.01358 0.00801 0.00024 0.00040 0.00564 0.725183 7 0.80395±0.01096 -0.16099 0.01292±0.00032 0.00543±0.00025 0.57972±0.02194 0.00910 0.01344 0.00537 0.00887 0.01051 0.652963 8 0.86482±0.00930 -0.01442 0.01242±0.00031 0.01069±0.00121 0.13957±0.09991 0.01032 0.01998 0.04917 0.08121 0.02151 0.644133 9 0.89219±0.00597 -0.00007 0.02201±0.00055 0.01981±0.00069 0.10003±0.03870 0.00956 0.02246 0.01031 0.01702 0.02250 0.074683 10 0.86470±0.00705 -0.00009 0.01707±0.00043 0.01537±0.00073 0.09950±0.04822 0.01393 0.02579 0.01604 0.02650 0.02251 0.000033 11 0.81022±0.00759 -0.00002 0.00387±0.00010 0.00304±0.00096 0.21470±0.24837 0.02389 0.06115 0.12365 0.20421 0.01963 0.006284 6 0.73011±0.02945 -0.04967 0.02088±0.00052 0.00332±0.00028 0.84086±0.01409 0.01096 0.00790 0.00007 0.00011 0.00398 0.759184 7 0.79758±0.02434 -0.22236 0.02892±0.00072 0.00651±0.00043 0.77492±0.01581 0.01203 0.00838 0.00093 0.00153 0.00563 0.723034 8 0.87756±0.01130 -0.15471 0.01315±0.00033 0.00631±0.00028 0.51978±0.02416 0.00976 0.01431 0.00611 0.01010 0.01201 0.593894 9 0.92119±0.00632 -0.01949 0.01940±0.00049 0.01690±0.00145 0.12879±0.07763 0.00743 0.02132 0.03678 0.06074 0.02178 0.256844 10 0.91274±0.00676 -0.00011 0.02958±0.00074 0.02630±0.00076 0.11107±0.03394 0.01097 0.02205 0.00372 0.00615 0.02222 0.033544 11 0.90285±0.00593 -0.00002 0.02199±0.00055 0.01911±0.00146 0.13087±0.06973 0.01197 0.02644 0.03086 0.05096 0.02173 0.134304 12 0.83683±0.00763 -0.00004 0.00282±0.00007 0.00188±0.00069 0.33176±0.24648 0.02163 0.06874 0.12178 0.20112 0.01671 0.000435 7 0.79456±0.04376 -0.03786 0.01144±0.00029 0.00197±0.00022 0.82741±0.01994 0.01598 0.01107 0.00056 0.00092 0.00431 0.647555 8 0.85930±0.03645 -0.17351 0.01971±0.00049 0.00529±0.00042 0.73161±0.02254 0.01884 0.01000 0.00146 0.00242 0.00671 0.711575 9 0.91939±0.01264 -0.15465 0.01350±0.00034 0.00675±0.00030 0.49996±0.02582 0.01083 0.01584 0.00617 0.01020 0.01250 0.594305 10 0.92085±0.00717 -0.00818 0.02057±0.00051 0.01796±0.00148 0.12692±0.07515 0.00863 0.02404 0.03482 0.05750 0.02183 0.357665 11 0.94354±0.00634 -0.00006 0.03019±0.00075 0.02641±0.00071 0.12503±0.03219 0.01009 0.02133 0.00040 0.00066 0.02187 0.140565 12 0.82806±0.00614 -0.00007 0.01474±0.00037 0.01165±0.00137 0.21003±0.09502 0.01334 0.03174 0.04472 0.07385 0.01975 0.016965 13 0.81091±0.00728 -0.00000 0.00173±0.00004 0.00101±0.00043 0.41872±0.24941 0.01963 0.07917 0.12185 0.20123 0.01453 0.000006 8 1.06969±0.09478 -0.01864 0.00497±0.00012 0.00091±0.00017 0.81733±0.03432 0.02797 0.01935 0.00023 0.00039 0.00457 0.834226 9 0.84799±0.02530 -0.17284 0.01855±0.00046 0.00506±0.00032 0.72719±0.01868 0.01302 0.00997 0.00298 0.00493 0.00682 0.702416 10 0.90754±0.01208 -0.17315 0.01657±0.00041 0.00885±0.00042 0.46584±0.02843 0.01086 0.01445 0.00902 0.01490 0.01335 0.496906 11 0.97445±0.00610 -0.00536 0.03275±0.00082 0.02848±0.00186 0.13043±0.06090 0.00729 0.01865 0.02758 0.04555 0.02174 0.209316 12 0.97283±0.00558 -0.00008 0.03137±0.00078 0.02845±0.00073 0.09307±0.03256 0.00883 0.02154 0.00104 0.00172 0.02267 0.061266 13 0.91632±0.00660 -0.00006 0.01587±0.00040 0.01329±0.00150 0.16230±0.09662 0.01391 0.03375 0.04505 0.07440 0.02094 0.000306 14 0.85058±0.00751 -0.00003 0.00260±0.00006 0.00150±0.00055 0.42069±0.21135 0.01790 0.07790 0.10106 0.16690 0.01448 0.120017 9 2.69650±0.87247 -0.00101 0.00326±0.00008 0.00035±0.00026 0.89324±0.07868 0.07130 0.03307 0.00116 0.00191 0.00267 0.805607 10 0.91358±0.03419 -0.09989 0.01017±0.00025 0.00307±0.00025 0.69783±0.02599 0.01939 0.01557 0.00008 0.00014 0.00755 0.612207 11 0.99411±0.00881 -0.15854 0.01872±0.00047 0.01173±0.00067 0.37333±0.03904 0.00780 0.01597 0.01607 0.02654 0.01567 0.552397 12 1.01302±0.00681 -0.00192 0.03138±0.00078 0.02760±0.00160 0.12041±0.05555 0.00817 0.02086 0.02374 0.03920 0.02199 0.141767 13 0.98744±0.00686 -0.00004 0.03062±0.00077 0.02748±0.00083 0.10244±0.03515 0.01073 0.02480 0.00064 0.00105 0.02244 0.000777 14 0.96327±0.00770 -0.00009 0.01985±0.00050 0.01687±0.00144 0.15031±0.07563 0.01477 0.02837 0.03375 0.05574 0.02124 0.062787 15 0.78696±0.00568 -0.00005 0.00366±0.00009 0.00205±0.00069 0.44006±0.19046 0.01336 0.05321 0.09419 0.15555 0.01400 0.000138 10 1.52542±0.33478 -0.00014 0.00615±0.00015 0.00010±0.00006 0.98358±0.00918 0.00672 0.00623 0.00014 0.00023 0.00041 0.986998 11 1.61171±0.14794 -0.03327 0.00701±0.00018 0.00184±0.00031 0.73716±0.04516 0.03929 0.02114 0.00112 0.00185 0.00657 0.450238 12 1.13755±0.01411 -0.07935 0.01461±0.00037 0.00937±0.00058 0.35881±0.04269 0.01069 0.01881 0.01715 0.02833 0.01603 0.472048 13 1.05167±0.00736 -0.00838 0.03179±0.00079 0.02789±0.00181 0.12267±0.06107 0.00813 0.02232 0.02684 0.04432 0.02193 0.226998 14 1.01080±0.00631 -0.00028 0.04337±0.00108 0.03838±0.00107 0.11509±0.03313 0.00907 0.02084 0.00496 0.00819 0.02212 0.040168 15 1.00700±0.00655 -0.00003 0.03125±0.00078 0.02761±0.00167 0.11656±0.05787 0.01172 0.02493 0.02375 0.03923 0.02209 0.028388 16 0.95662±0.01127 -0.00021 0.00356±0.00009 0.00201±0.00060 0.43591±0.17027 0.02189 0.07727 0.07742 0.12786 0.01410 0.043729 11 1.36422±0.33020 -0.00004 0.00472±0.00012 0.00023±0.00023 0.95040±0.04919 0.03316 0.03579 0.00317 0.00523 0.00124 0.985759 12 1.25797±0.23335 -0.00007 0.00737±0.00018 0.00025±0.00014 0.96596±0.01900 0.01222 0.01450 0.00050 0.00083 0.00085 0.990889 13 1.25807±0.20528 -0.00010 0.00921±0.00023 0.00028±0.00013 0.96983±0.01423 0.01057 0.00935 0.00087 0.00143 0.00075 0.983199 14 1.39812±0.14032 -0.00007 0.01648±0.00041 0.00540±0.00082 0.67221±0.05045 0.04352 0.01926 0.00756 0.01249 0.00819 0.911459 15 1.12327±0.03230 -0.00027 0.05170±0.00129 0.03893±0.00216 0.24709±0.04577 0.03605 0.02040 0.00258 0.00426 0.01882 0.622329 16 1.02411±0.01592 -0.00012 0.06618±0.00165 0.05347±0.00229 0.19200±0.04003 0.02339 0.01687 0.00986 0.01629 0.02020 0.29738Table F.3: Pass 3 Target LH2, Energy 687, Octant 3, sbfil= 1.02200 ± 0.00500, r= 15.20827.184CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.70244±0.02393 -0.07631 0.04269±0.00107 0.00622±0.00038 0.85441±0.00962 0.00752 0.00473 0.00037 0.00053 0.00364 0.818191 4 0.70134±0.02304 -0.16566 0.02370±0.00059 0.00472±0.00028 0.80077±0.01273 0.00978 0.00643 0.00027 0.00039 0.00498 0.773461 5 0.71336±0.01043 -0.16924 0.01238±0.00031 0.00463±0.00018 0.62623±0.01743 0.00796 0.01118 0.00300 0.00438 0.00934 0.657591 6 0.76201±0.00806 -0.04639 0.01005±0.00025 0.00758±0.00082 0.24517±0.08365 0.00922 0.01929 0.04438 0.06491 0.01887 0.493411 7 0.74380±0.00517 -0.00026 0.01740±0.00044 0.01530±0.00064 0.12065±0.04291 0.00852 0.02057 0.01658 0.02425 0.02198 0.212361 8 0.62194±0.00659 -0.00002 0.00817±0.00020 0.00772±0.00028 0.05557±0.04142 0.01529 0.02908 0.00502 0.00734 0.02361 0.270951 9 0.80075±0.01216 -0.00007 0.00182±0.00005 0.00266±0.00018 -0.46618±0.10379 0.03515 0.08455 0.01824 0.02668 0.03665 0.009012 4 0.67439±0.02904 -0.04230 0.02752±0.00069 0.00399±0.00030 0.85515±0.01162 0.00937 0.00583 0.00004 0.00005 0.00362 0.818322 5 0.71330±0.02597 -0.14173 0.02076±0.00052 0.00413±0.00026 0.80109±0.01368 0.01068 0.00673 0.00098 0.00144 0.00497 0.833072 6 0.80370±0.01474 -0.14341 0.01132±0.00028 0.00426±0.00020 0.62401±0.01987 0.00978 0.01139 0.00508 0.00743 0.00940 0.636312 7 0.86317±0.00842 -0.02591 0.01039±0.00026 0.00799±0.00081 0.23128±0.08019 0.00850 0.01940 0.04228 0.06185 0.01922 0.435202 8 0.82189±0.00869 -0.00013 0.01432±0.00036 0.01271±0.00051 0.11203±0.04176 0.01341 0.02732 0.01018 0.01489 0.02220 0.123062 9 0.73155±0.00672 -0.00009 0.01311±0.00033 0.01154±0.00040 0.11951±0.03788 0.01251 0.02511 0.00722 0.01056 0.02201 0.032542 10 0.66201±0.00711 -0.00002 0.00374±0.00009 0.00362±0.00061 0.03108±0.16504 0.02041 0.05041 0.08687 0.12707 0.02422 0.018633 5 0.62778±0.02561 -0.04950 0.02650±0.00066 0.00375±0.00027 0.85835±0.01083 0.00860 0.00550 0.00039 0.00057 0.00354 0.788443 6 0.78664±0.02706 -0.17567 0.02484±0.00062 0.00544±0.00033 0.78106±0.01427 0.01126 0.00682 0.00024 0.00035 0.00547 0.725183 7 0.82596±0.01187 -0.15943 0.01302±0.00033 0.00547±0.00023 0.58003±0.02039 0.00857 0.01202 0.00528 0.00772 0.01050 0.652963 8 0.86769±0.00954 -0.01428 0.01204±0.00030 0.00970±0.00110 0.19487±0.09352 0.00959 0.01814 0.05023 0.07347 0.02013 0.644133 9 0.87653±0.00588 -0.00007 0.02145±0.00054 0.01907±0.00061 0.11074±0.03612 0.00848 0.01985 0.01047 0.01532 0.02223 0.074683 10 0.81367±0.00654 -0.00009 0.01634±0.00041 0.01490±0.00063 0.08846±0.04493 0.01183 0.02223 0.01660 0.02428 0.02279 0.000033 11 0.72382±0.00649 -0.00002 0.00341±0.00009 0.00338±0.00086 0.00766±0.25403 0.02033 0.05434 0.13887 0.20314 0.02481 0.006284 6 0.61701±0.02467 -0.04919 0.01772±0.00044 0.00281±0.00021 0.84161±0.01239 0.00949 0.00690 0.00008 0.00012 0.00396 0.759184 7 0.75940±0.02270 -0.22020 0.02826±0.00071 0.00624±0.00035 0.77935±0.01363 0.01007 0.00716 0.00094 0.00138 0.00552 0.723034 8 0.86321±0.01181 -0.15321 0.01315±0.00033 0.00608±0.00025 0.53807±0.02192 0.00894 0.01234 0.00605 0.00885 0.01155 0.593894 9 0.89748±0.00634 -0.01930 0.01787±0.00045 0.01523±0.00131 0.14805±0.07618 0.00710 0.01978 0.03954 0.05783 0.02130 0.256844 10 0.87387±0.00642 -0.00011 0.02815±0.00070 0.02499±0.00064 0.11206±0.03180 0.00960 0.01947 0.00387 0.00567 0.02220 0.033544 11 0.82894±0.00529 -0.00002 0.02117±0.00053 0.01864±0.00130 0.11975±0.06504 0.00974 0.02211 0.03173 0.04642 0.02201 0.134304 12 0.76303±0.00653 -0.00004 0.00284±0.00007 0.00222±0.00062 0.21787±0.22009 0.01609 0.05447 0.11950 0.17479 0.01955 0.000435 7 0.61801±0.03361 -0.03750 0.00900±0.00022 0.00153±0.00015 0.83016±0.01729 0.01369 0.00960 0.00070 0.00103 0.00425 0.647555 8 0.79731±0.03293 -0.17183 0.01908±0.00048 0.00486±0.00034 0.74503±0.01888 0.01543 0.00841 0.00150 0.00219 0.00637 0.711575 9 0.87568±0.01269 -0.15315 0.01325±0.00033 0.00629±0.00026 0.52543±0.02321 0.00971 0.01348 0.00623 0.00911 0.01186 0.594305 10 0.88628±0.00705 -0.00810 0.01863±0.00047 0.01605±0.00133 0.13865±0.07469 0.00821 0.02239 0.03805 0.05566 0.02153 0.357665 11 0.86892±0.00578 -0.00006 0.02766±0.00069 0.02434±0.00057 0.11981±0.03027 0.00881 0.01881 0.00044 0.00064 0.02200 0.140565 12 0.75897±0.00539 -0.00007 0.01465±0.00037 0.01164±0.00123 0.20521±0.08600 0.01033 0.02568 0.04456 0.06518 0.01987 0.016965 13 0.73546±0.00629 -0.00000 0.00176±0.00004 0.00122±0.00039 0.31112±0.22024 0.01462 0.06190 0.11860 0.17349 0.01722 0.000006 8 0.81426±0.07381 -0.01846 0.00375±0.00009 0.00069±0.00011 0.81492±0.03097 0.02537 0.01715 0.00031 0.00045 0.00463 0.834226 9 0.73088±0.02145 -0.17116 0.01658±0.00041 0.00428±0.00025 0.74169±0.01626 0.01083 0.00844 0.00330 0.00483 0.00646 0.702416 10 0.85377±0.01194 -0.17147 0.01572±0.00039 0.00808±0.00036 0.48610±0.02646 0.00992 0.01257 0.00942 0.01378 0.01285 0.496906 11 0.89811±0.00575 -0.00531 0.02860±0.00072 0.02468±0.00167 0.13732±0.06230 0.00690 0.01726 0.03127 0.04574 0.02157 0.209316 12 0.88880±0.00504 -0.00008 0.02877±0.00072 0.02593±0.00059 0.09864±0.03040 0.00764 0.01882 0.00112 0.00164 0.02253 0.061266 13 0.82165±0.00571 -0.00006 0.01554±0.00039 0.01306±0.00133 0.15981±0.08836 0.01079 0.02710 0.04555 0.06663 0.02100 0.000306 14 0.72698±0.00601 -0.00002 0.00252±0.00006 0.00166±0.00049 0.34226±0.19376 0.01297 0.06025 0.10326 0.15104 0.01644 0.120017 9 1.98321±0.63447 -0.00100 0.00243±0.00006 0.00027±0.00016 0.88873±0.06748 0.06099 0.02861 0.00154 0.00225 0.00278 0.805607 10 0.80280±0.02953 -0.09892 0.00923±0.00023 0.00270±0.00019 0.70707±0.02216 0.01620 0.01324 0.00009 0.00013 0.00732 0.612207 11 0.91127±0.00849 -0.15700 0.01689±0.00042 0.01022±0.00059 0.39463±0.03824 0.00731 0.01423 0.01764 0.02581 0.01513 0.552397 12 0.92854±0.00638 -0.00191 0.02763±0.00069 0.02396±0.00142 0.13287±0.05594 0.00762 0.01905 0.02670 0.03905 0.02168 0.141767 13 0.87420±0.00599 -0.00004 0.02722±0.00068 0.02437±0.00064 0.10502±0.03251 0.00924 0.02166 0.00071 0.00104 0.02237 0.000777 14 0.82578±0.00644 -0.00009 0.01798±0.00045 0.01553±0.00127 0.13624±0.07375 0.01196 0.02355 0.03690 0.05397 0.02159 0.062787 15 0.69176±0.00472 -0.00005 0.00362±0.00009 0.00226±0.00062 0.37556±0.17292 0.00983 0.04142 0.09418 0.13776 0.01561 0.000138 10 1.32988±0.29920 -0.00014 0.00523±0.00013 0.00009±0.00004 0.98276±0.00837 0.00619 0.00560 0.00016 0.00023 0.00043 0.986998 11 1.22370±0.11309 -0.03295 0.00544±0.00014 0.00138±0.00021 0.74589±0.03916 0.03400 0.01817 0.00144 0.00210 0.00635 0.450238 12 0.94385±0.01219 -0.07858 0.01179±0.00029 0.00732±0.00050 0.37970±0.04494 0.01004 0.01697 0.02105 0.03079 0.01551 0.472048 13 0.91893±0.00659 -0.00830 0.02628±0.00066 0.02285±0.00161 0.13070±0.06483 0.00772 0.02069 0.03214 0.04702 0.02173 0.226998 14 0.86785±0.00537 -0.00027 0.03699±0.00092 0.03259±0.00083 0.11900±0.03148 0.00795 0.01840 0.00576 0.00842 0.02203 0.040168 15 0.88194±0.00558 -0.00003 0.02895±0.00072 0.02545±0.00146 0.12105±0.05498 0.00944 0.02067 0.02539 0.03714 0.02197 0.028388 16 0.88837±0.00986 -0.00021 0.00374±0.00009 0.00234±0.00054 0.37440±0.14429 0.01600 0.05992 0.07299 0.10677 0.01564 0.043729 11 0.89830±0.22443 -0.00004 0.00304±0.00008 0.00018±0.00014 0.94060±0.04536 0.03076 0.03216 0.00488 0.00714 0.00148 0.985759 12 0.89051±0.16884 -0.00006 0.00511±0.00013 0.00018±0.00009 0.96399±0.01721 0.01119 0.01298 0.00072 0.00105 0.00090 0.990889 13 0.95285±0.15808 -0.00010 0.00687±0.00017 0.00023±0.00009 0.96724±0.01287 0.00957 0.00832 0.00115 0.00168 0.00082 0.983199 14 0.95169±0.09665 -0.00007 0.01099±0.00027 0.00345±0.00052 0.68639±0.04805 0.03942 0.01724 0.01123 0.01643 0.00784 0.911459 15 0.91453±0.02647 -0.00026 0.04184±0.00105 0.03146±0.00155 0.24819±0.04165 0.03203 0.01800 0.00316 0.00462 0.01880 0.622329 16 0.84398±0.01281 -0.00012 0.05648±0.00141 0.04514±0.00178 0.20090±0.03727 0.01935 0.01429 0.01144 0.01674 0.01998 0.29738Table F.4: Pass 3 Target LH2, Energy 687, Octant 4, sbfil= 1.03200 ± 0.00500, r= 15.29830.185CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.60723±0.02093 -0.07493 0.03711±0.00093 0.00541±0.00025 0.85430±0.00769 0.00573 0.00356 0.00041 0.00047 0.00364 0.818191 4 0.65798±0.02304 -0.16267 0.02500±0.00062 0.00441±0.00021 0.82342±0.00937 0.00703 0.00434 0.00025 0.00028 0.00441 0.773461 5 0.70223±0.01423 -0.16618 0.01379±0.00034 0.00446±0.00016 0.67666±0.01385 0.00739 0.00748 0.00264 0.00298 0.00808 0.657591 6 0.71435±0.00694 -0.04555 0.00910±0.00023 0.00596±0.00068 0.34536±0.07619 0.00664 0.01513 0.04811 0.05431 0.01637 0.493411 7 0.73066±0.00511 -0.00025 0.01597±0.00040 0.01427±0.00052 0.10625±0.03927 0.00695 0.01669 0.01774 0.02003 0.02234 0.212361 8 0.80706±0.00846 -0.00002 0.01096±0.00027 0.01013±0.00027 0.07539±0.03380 0.01108 0.02132 0.00368 0.00415 0.02312 0.270951 9 1.23333±0.01829 -0.00007 0.00444±0.00011 0.00425±0.00020 0.04213±0.05097 0.01641 0.04041 0.00733 0.00828 0.02395 0.009012 4 0.48238±0.02201 -0.04153 0.01966±0.00049 0.00285±0.00017 0.85491±0.00946 0.00753 0.00442 0.00005 0.00006 0.00363 0.818322 5 0.66093±0.02549 -0.13917 0.02176±0.00054 0.00378±0.00019 0.82637±0.00993 0.00758 0.00451 0.00092 0.00104 0.00434 0.833072 6 0.70809±0.01983 -0.14082 0.01134±0.00028 0.00360±0.00017 0.68227±0.01662 0.00995 0.00759 0.00498 0.00562 0.00794 0.636312 7 0.76986±0.00827 -0.02544 0.00858±0.00021 0.00590±0.00067 0.31272±0.07967 0.00766 0.01587 0.05024 0.05672 0.01718 0.435202 8 0.78928±0.00861 -0.00013 0.01304±0.00033 0.01179±0.00039 0.09542±0.03721 0.01106 0.02183 0.01097 0.01239 0.02261 0.123062 9 0.79088±0.00706 -0.00009 0.01403±0.00035 0.01275±0.00033 0.09131±0.03274 0.00932 0.01922 0.00662 0.00748 0.02272 0.032542 10 0.98730±0.01022 -0.00002 0.00644±0.00016 0.00656±0.00053 -0.01874±0.08652 0.01290 0.03307 0.04951 0.05590 0.02547 0.018633 5 0.41111±0.01714 -0.04860 0.01714±0.00043 0.00244±0.00014 0.85745±0.00876 0.00674 0.00422 0.00059 0.00067 0.00356 0.788443 6 0.73380±0.02431 -0.17250 0.02502±0.00063 0.00506±0.00023 0.79790±0.01032 0.00761 0.00479 0.00023 0.00026 0.00505 0.725183 7 0.73867±0.01226 -0.15655 0.01342±0.00034 0.00471±0.00017 0.64929±0.01547 0.00651 0.00790 0.00503 0.00568 0.00877 0.652963 8 0.78154±0.01064 -0.01402 0.00966±0.00024 0.00703±0.00091 0.27290±0.09627 0.01010 0.01544 0.06148 0.06941 0.01818 0.644133 9 0.84761±0.00570 -0.00007 0.01998±0.00050 0.01776±0.00048 0.11129±0.03255 0.00669 0.01562 0.01104 0.01246 0.02222 0.074683 10 0.28220±0.00214 -0.00009 0.00585±0.00015 0.00544±0.00042 0.06963±0.07475 0.00820 0.01632 0.04552 0.05139 0.02326 0.000033 11 0.88240±0.00877 -0.00002 0.00603±0.00015 0.00563±0.00073 0.06509±0.12257 0.01178 0.02840 0.07713 0.08708 0.02337 0.006284 6 0.41875±0.01832 -0.04830 0.01236±0.00031 0.00190±0.00011 0.84601±0.00997 0.00766 0.00509 0.00011 0.00013 0.00385 0.759184 7 0.67111±0.02167 -0.21622 0.02739±0.00068 0.00558±0.00025 0.79640±0.01044 0.00752 0.00495 0.00095 0.00108 0.00509 0.723034 8 0.79358±0.01812 -0.15044 0.01338±0.00033 0.00536±0.00021 0.59960±0.01881 0.01022 0.00845 0.00584 0.00660 0.01001 0.593894 9 0.86046±0.00607 -0.01895 0.01548±0.00039 0.01240±0.00108 0.19876±0.07269 0.00594 0.01660 0.04483 0.05062 0.02003 0.256844 10 0.86925±0.00731 -0.00011 0.02705±0.00068 0.02452±0.00050 0.09360±0.02927 0.00862 0.01527 0.00396 0.00447 0.02266 0.033544 11 0.85953±0.00526 -0.00002 0.02326±0.00058 0.02141±0.00107 0.07950±0.05152 0.00668 0.01581 0.02836 0.03202 0.02301 0.134304 12 0.79258±0.00690 -0.00004 0.00434±0.00011 0.00328±0.00052 0.24309±0.12113 0.00844 0.02810 0.07690 0.08682 0.01892 0.000435 7 0.36119±0.02016 -0.03682 0.00530±0.00013 0.00089±0.00007 0.83293±0.01358 0.01057 0.00722 0.00117 0.00132 0.00418 0.647555 8 0.67568±0.02705 -0.16873 0.01717±0.00043 0.00405±0.00021 0.76392±0.01382 0.01068 0.00600 0.00163 0.00184 0.00590 0.711575 9 0.82229±0.01946 -0.15038 0.01392±0.00035 0.00566±0.00023 0.59340±0.01948 0.01075 0.00913 0.00582 0.00657 0.01017 0.594305 10 0.85805±0.00720 -0.00796 0.01593±0.00040 0.01334±0.00110 0.16261±0.07217 0.00744 0.01922 0.04371 0.04934 0.02093 0.357665 11 0.89482±0.00607 -0.00006 0.02820±0.00070 0.02511±0.00045 0.10957±0.02740 0.00688 0.01440 0.00042 0.00047 0.02226 0.140565 12 0.86097±0.00637 -0.00007 0.01718±0.00043 0.01524±0.00103 0.11263±0.06386 0.00790 0.01883 0.03732 0.04214 0.02218 0.016965 13 0.82491±0.00723 -0.00000 0.00300±0.00008 0.00199±0.00032 0.33765±0.10934 0.00749 0.03094 0.06848 0.07731 0.01656 0.000006 8 0.58742±0.05991 -0.01813 0.00262±0.00007 0.00050±0.00007 0.80831±0.02645 0.02229 0.01340 0.00043 0.00049 0.00479 0.834226 9 0.57285±0.01841 -0.16807 0.01401±0.00035 0.00324±0.00016 0.76847±0.01311 0.00834 0.00593 0.00384 0.00433 0.00579 0.702416 10 0.85790±0.00993 -0.16837 0.01627±0.00041 0.00766±0.00028 0.52939±0.02102 0.00604 0.00925 0.00893 0.01009 0.01177 0.496906 11 0.91951±0.00611 -0.00521 0.02633±0.00066 0.02229±0.00139 0.15351±0.05680 0.00603 0.01455 0.03336 0.03766 0.02116 0.209316 12 0.92581±0.00529 -0.00008 0.03004±0.00075 0.02690±0.00046 0.10434±0.02721 0.00581 0.01423 0.00106 0.00119 0.02239 0.061266 13 0.89145±0.00599 -0.00006 0.01857±0.00046 0.01645±0.00111 0.11416±0.06386 0.00717 0.01865 0.03744 0.04227 0.02215 0.000306 14 0.80552±0.00584 -0.00002 0.00421±0.00011 0.00259±0.00041 0.38446±0.09769 0.00571 0.03025 0.06062 0.06844 0.01539 0.120017 9 2.88649±0.90235 -0.00098 0.00329±0.00008 0.00043±0.00018 0.86846±0.05402 0.04859 0.02333 0.00112 0.00126 0.00329 0.805607 10 0.61946±0.01985 -0.09713 0.00717±0.00018 0.00209±0.00010 0.70878±0.01628 0.01062 0.00996 0.00011 0.00013 0.00728 0.612207 11 0.91608±0.00878 -0.15416 0.01672±0.00042 0.00929±0.00049 0.44447±0.03229 0.00578 0.01095 0.01750 0.01975 0.01389 0.552397 12 0.98217±0.00695 -0.00187 0.02650±0.00066 0.02272±0.00118 0.14246±0.04956 0.00656 0.01592 0.02734 0.03086 0.02144 0.141767 13 0.95113±0.00644 -0.00004 0.02965±0.00074 0.02658±0.00053 0.10363±0.02864 0.00692 0.01640 0.00064 0.00072 0.02241 0.000777 14 0.96254±0.00738 -0.00009 0.02277±0.00057 0.02041±0.00107 0.10348±0.05198 0.00819 0.01643 0.02861 0.03230 0.02241 0.062787 15 0.80223±0.00477 -0.00005 0.00603±0.00015 0.00361±0.00052 0.40078±0.08801 0.00453 0.02187 0.05556 0.06273 0.01498 0.000138 10 1.74274±0.41105 -0.00014 0.00654±0.00016 0.00012±0.00004 0.98112±0.00683 0.00516 0.00445 0.00013 0.00014 0.00047 0.986998 11 1.19750±0.11613 -0.03235 0.00543±0.00014 0.00132±0.00016 0.75710±0.03044 0.02651 0.01350 0.00141 0.00159 0.00607 0.450238 12 0.89872±0.01659 -0.07716 0.01086±0.00027 0.00616±0.00041 0.43269±0.04063 0.01125 0.01330 0.02245 0.02535 0.01418 0.472048 13 0.96191±0.00711 -0.00815 0.02525±0.00063 0.02098±0.00133 0.16915±0.05676 0.00657 0.01708 0.03285 0.03709 0.02077 0.226998 14 1.00086±0.00639 -0.00027 0.04173±0.00104 0.03681±0.00072 0.11796±0.02805 0.00636 0.01425 0.00501 0.00565 0.02205 0.040168 15 1.02025±0.00626 -0.00003 0.03563±0.00089 0.03215±0.00123 0.09780±0.04125 0.00652 0.01472 0.02025 0.02287 0.02256 0.028388 16 1.03070±0.01025 -0.00021 0.00573±0.00014 0.00374±0.00045 0.34744±0.08074 0.00824 0.03446 0.04687 0.05292 0.01631 0.043729 11 1.15365±0.32048 -0.00004 0.00375±0.00009 0.00029±0.00014 0.92185±0.03746 0.02692 0.02531 0.00388 0.00438 0.00195 0.985759 12 0.97539±0.18411 -0.00006 0.00543±0.00014 0.00021±0.00007 0.96046±0.01345 0.00871 0.01015 0.00066 0.00075 0.00099 0.990889 13 1.05672±0.17726 -0.00010 0.00742±0.00019 0.00028±0.00007 0.96228±0.01010 0.00753 0.00648 0.00105 0.00118 0.00094 0.983199 14 1.02576±0.11180 -0.00007 0.01179±0.00029 0.00326±0.00045 0.72360±0.03872 0.03223 0.01314 0.01028 0.01161 0.00691 0.911459 15 0.90975±0.02548 -0.00026 0.04117±0.00103 0.03086±0.00115 0.25040±0.03358 0.02374 0.01379 0.00315 0.00356 0.01874 0.622329 16 0.88374±0.01384 -0.00011 0.05973±0.00149 0.04933±0.00146 0.17420±0.03197 0.01498 0.01072 0.01063 0.01200 0.02064 0.29738Table F.5: Pass 3 Target LH2, Energy 687, Octant 5, sbfil= 1.05100 ± 0.00500, r= 15.46465.186CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.74772±0.02550 -0.07631 0.04525±0.00113 0.00662±0.00040 0.85379±0.00966 0.00755 0.00475 0.00034 0.00050 0.00366 0.818191 4 0.73452±0.02412 -0.16566 0.02480±0.00062 0.00494±0.00029 0.80067±0.01273 0.00978 0.00644 0.00026 0.00037 0.00498 0.773461 5 0.77953±0.01140 -0.16924 0.01333±0.00033 0.00506±0.00020 0.62069±0.01756 0.00808 0.01134 0.00278 0.00407 0.00948 0.657591 6 0.79980±0.00846 -0.04639 0.01070±0.00027 0.00796±0.00082 0.25620±0.07899 0.00908 0.01901 0.04166 0.06094 0.01860 0.493411 7 0.76882±0.00535 -0.00026 0.01793±0.00045 0.01582±0.00065 0.11800±0.04239 0.00855 0.02063 0.01609 0.02353 0.02205 0.212361 8 0.67071±0.00710 -0.00002 0.00884±0.00022 0.00832±0.00030 0.05823±0.04116 0.01523 0.02899 0.00464 0.00679 0.02354 0.270951 9 0.93706±0.01408 -0.00007 0.00226±0.00006 0.00312±0.00020 -0.38022±0.09629 0.03273 0.07959 0.01467 0.02146 0.03451 0.009012 4 0.67366±0.02901 -0.04230 0.02746±0.00069 0.00398±0.00030 0.85501±0.01163 0.00938 0.00583 0.00004 0.00005 0.00362 0.818322 5 0.75509±0.02748 -0.14173 0.02203±0.00055 0.00437±0.00028 0.80154±0.01363 0.01065 0.00672 0.00093 0.00135 0.00496 0.833072 6 0.80870±0.01483 -0.14341 0.01148±0.00029 0.00428±0.00020 0.62697±0.01969 0.00970 0.01130 0.00501 0.00733 0.00933 0.636312 7 0.86918±0.00848 -0.02591 0.01047±0.00026 0.00804±0.00081 0.23183±0.07965 0.00849 0.01938 0.04196 0.06137 0.01920 0.435202 8 0.84528±0.00893 -0.00013 0.01463±0.00037 0.01308±0.00052 0.10621±0.04182 0.01349 0.02750 0.00996 0.01457 0.02234 0.123062 9 0.76090±0.00697 -0.00009 0.01363±0.00034 0.01200±0.00042 0.11965±0.03771 0.01249 0.02510 0.00694 0.01015 0.02201 0.032542 10 0.69977±0.00747 -0.00002 0.00404±0.00010 0.00383±0.00061 0.05124±0.15404 0.01987 0.04936 0.08048 0.11772 0.02372 0.018633 5 0.62042±0.02531 -0.04950 0.02619±0.00065 0.00371±0.00027 0.85836±0.01083 0.00860 0.00550 0.00039 0.00058 0.00354 0.788443 6 0.80888±0.02783 -0.17567 0.02557±0.00064 0.00559±0.00034 0.78136±0.01424 0.01124 0.00681 0.00023 0.00034 0.00547 0.725183 7 0.82754±0.01188 -0.15943 0.01344±0.00034 0.00548±0.00023 0.59232±0.01978 0.00832 0.01167 0.00512 0.00748 0.01019 0.652963 8 0.88602±0.00974 -0.01428 0.01223±0.00031 0.00990±0.00110 0.19058±0.09226 0.00964 0.01824 0.04945 0.07233 0.02024 0.644133 9 0.89900±0.00603 -0.00007 0.02193±0.00055 0.01956±0.00062 0.10776±0.03601 0.00851 0.01992 0.01025 0.01499 0.02231 0.074683 10 0.84676±0.00679 -0.00009 0.01700±0.00043 0.01550±0.00064 0.08817±0.04420 0.01182 0.02224 0.01595 0.02334 0.02280 0.000033 11 0.72323±0.00645 -0.00002 0.00356±0.00009 0.00338±0.00086 0.05053±0.24324 0.01936 0.05199 0.13298 0.19452 0.02374 0.006284 6 0.63025±0.02520 -0.04919 0.01814±0.00045 0.00287±0.00021 0.84198±0.01236 0.00947 0.00689 0.00008 0.00011 0.00395 0.759184 7 0.77663±0.02321 -0.22020 0.02892±0.00072 0.00638±0.00036 0.77946±0.01362 0.01006 0.00716 0.00092 0.00135 0.00551 0.723034 8 0.88181±0.01206 -0.15321 0.01351±0.00034 0.00621±0.00025 0.54062±0.02169 0.00889 0.01227 0.00589 0.00862 0.01148 0.593894 9 0.91593±0.00647 -0.01930 0.01837±0.00046 0.01554±0.00131 0.15417±0.07434 0.00705 0.01964 0.03846 0.05626 0.02115 0.256844 10 0.89120±0.00655 -0.00011 0.02877±0.00072 0.02549±0.00065 0.11419±0.03169 0.00958 0.01942 0.00379 0.00554 0.02215 0.033544 11 0.84088±0.00538 -0.00002 0.02119±0.00053 0.01890±0.00130 0.10772±0.06523 0.00989 0.02241 0.03171 0.04639 0.02231 0.134304 12 0.73609±0.00630 -0.00004 0.00273±0.00007 0.00215±0.00062 0.21332±0.22888 0.01619 0.05479 0.12459 0.18224 0.01967 0.000435 7 0.59323±0.03227 -0.03750 0.00860±0.00021 0.00147±0.00014 0.82934±0.01738 0.01375 0.00965 0.00074 0.00108 0.00427 0.647555 8 0.79774±0.03294 -0.17183 0.01904±0.00048 0.00487±0.00034 0.74436±0.01893 0.01547 0.00843 0.00150 0.00219 0.00639 0.711575 9 0.88493±0.01282 -0.15315 0.01347±0.00034 0.00635±0.00027 0.52831±0.02301 0.00965 0.01340 0.00613 0.00896 0.01179 0.594305 10 0.90177±0.00717 -0.00810 0.01894±0.00047 0.01633±0.00134 0.13766±0.07373 0.00822 0.02242 0.03744 0.05477 0.02156 0.357665 11 0.88557±0.00590 -0.00006 0.02819±0.00070 0.02481±0.00059 0.12002±0.03026 0.00882 0.01880 0.00043 0.00062 0.02200 0.140565 12 0.77757±0.00552 -0.00007 0.01494±0.00037 0.01193±0.00123 0.20166±0.08464 0.01037 0.02580 0.04369 0.06391 0.01996 0.016965 13 0.74553±0.00639 -0.00000 0.00182±0.00005 0.00123±0.00039 0.32330±0.21369 0.01439 0.06081 0.11493 0.16812 0.01692 0.000006 8 0.82405±0.07474 -0.01846 0.00378±0.00009 0.00070±0.00012 0.81429±0.03109 0.02547 0.01721 0.00030 0.00044 0.00464 0.834226 9 0.74283±0.02180 -0.17116 0.01678±0.00042 0.00435±0.00025 0.74055±0.01630 0.01088 0.00847 0.00327 0.00478 0.00649 0.702416 10 0.88187±0.01234 -0.17147 0.01602±0.00040 0.00834±0.00037 0.47937±0.02647 0.01005 0.01273 0.00924 0.01351 0.01302 0.496906 11 0.91635±0.00586 -0.00531 0.02949±0.00074 0.02518±0.00168 0.14635±0.06068 0.00682 0.01708 0.03033 0.04436 0.02134 0.209316 12 0.90227±0.00512 -0.00008 0.02915±0.00073 0.02633±0.00060 0.09678±0.03046 0.00766 0.01886 0.00111 0.00162 0.02258 0.061266 13 0.83665±0.00583 -0.00006 0.01568±0.00039 0.01330±0.00134 0.15217±0.08783 0.01090 0.02735 0.04514 0.06603 0.02120 0.000306 14 0.74208±0.00617 -0.00002 0.00261±0.00007 0.00169±0.00049 0.35254±0.18728 0.01284 0.05931 0.09958 0.14565 0.01619 0.120017 9 2.07192±0.66459 -0.00100 0.00251±0.00006 0.00028±0.00017 0.88745±0.06841 0.06186 0.02894 0.00149 0.00218 0.00281 0.805607 10 0.79156±0.02912 -0.09892 0.00906±0.00023 0.00266±0.00019 0.70600±0.02225 0.01626 0.01328 0.00009 0.00014 0.00735 0.612207 11 0.94055±0.00876 -0.15700 0.01720±0.00043 0.01055±0.00060 0.38634±0.03796 0.00741 0.01443 0.01733 0.02535 0.01534 0.552397 12 0.94323±0.00648 -0.00191 0.02800±0.00070 0.02434±0.00143 0.13072±0.05545 0.00764 0.01910 0.02635 0.03854 0.02173 0.141767 13 0.90124±0.00618 -0.00004 0.02806±0.00070 0.02512±0.00066 0.10483±0.03252 0.00924 0.02167 0.00069 0.00101 0.02238 0.000777 14 0.87025±0.00678 -0.00009 0.01901±0.00048 0.01637±0.00128 0.13889±0.07058 0.01191 0.02348 0.03490 0.05105 0.02153 0.062787 15 0.70349±0.00482 -0.00005 0.00373±0.00009 0.00230±0.00062 0.38365±0.16804 0.00974 0.04088 0.09141 0.13371 0.01541 0.000138 10 1.39238±0.31327 -0.00014 0.00547±0.00014 0.00009±0.00005 0.98273±0.00838 0.00620 0.00561 0.00015 0.00022 0.00043 0.986998 11 1.25641±0.11610 -0.03295 0.00554±0.00014 0.00142±0.00022 0.74411±0.03942 0.03424 0.01830 0.00141 0.00206 0.00640 0.450238 12 0.96509±0.01246 -0.07858 0.01199±0.00030 0.00748±0.00050 0.37594±0.04453 0.01010 0.01707 0.02071 0.03029 0.01560 0.472048 13 0.95080±0.00682 -0.00830 0.02729±0.00068 0.02364±0.00161 0.13369±0.06295 0.00769 0.02061 0.03096 0.04528 0.02166 0.226998 14 0.91288±0.00565 -0.00027 0.03888±0.00097 0.03428±0.00087 0.11837±0.03134 0.00795 0.01841 0.00548 0.00801 0.02204 0.040168 15 0.86238±0.00545 -0.00003 0.02818±0.00070 0.02488±0.00145 0.11708±0.05607 0.00948 0.02076 0.02608 0.03815 0.02207 0.028388 16 0.75424±0.00839 -0.00021 0.00304±0.00008 0.00199±0.00052 0.34569±0.17280 0.01678 0.06267 0.08992 0.13153 0.01636 0.043729 11 0.88271±0.22064 -0.00004 0.00301±0.00008 0.00018±0.00014 0.94105±0.04506 0.03054 0.03192 0.00493 0.00721 0.00147 0.985759 12 0.92541±0.17535 -0.00006 0.00531±0.00013 0.00019±0.00009 0.96399±0.01720 0.01118 0.01298 0.00069 0.00101 0.00090 0.990889 13 1.00031±0.16602 -0.00010 0.00720±0.00018 0.00024±0.00009 0.96719±0.01288 0.00958 0.00834 0.00110 0.00160 0.00082 0.983199 14 1.07733±0.10953 -0.00007 0.01250±0.00031 0.00390±0.00058 0.68777±0.04696 0.03929 0.01717 0.00988 0.01445 0.00781 0.911459 15 0.94964±0.02749 -0.00026 0.04344±0.00109 0.03266±0.00161 0.24806±0.04163 0.03204 0.01800 0.00304 0.00445 0.01880 0.622329 16 0.85093±0.01292 -0.00012 0.05706±0.00143 0.04551±0.00179 0.20241±0.03711 0.01931 0.01426 0.01133 0.01657 0.01994 0.29738Table F.6: Pass 3 Target LH2, Energy 687, Octant 6, sbfil= 1.03200 ± 0.00500, r= 15.29830.187CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.60850±0.02088 -0.07690 0.03654±0.00091 0.00537±0.00037 0.85307±0.01072 0.00851 0.00532 0.00043 0.00069 0.00367 0.818191 4 0.62280±0.02103 -0.16696 0.02095±0.00052 0.00420±0.00028 0.79958±0.01425 0.01122 0.00718 0.00030 0.00049 0.00501 0.773461 5 0.58303±0.00810 -0.17056 0.01115±0.00028 0.00381±0.00017 0.65774±0.01730 0.00764 0.01128 0.00335 0.00541 0.00856 0.657591 6 0.62515±0.00647 -0.04675 0.00859±0.00021 0.00666±0.00087 0.22468±0.10372 0.00962 0.02058 0.05233 0.08443 0.01938 0.493411 7 0.62920±0.00435 -0.00026 0.01484±0.00037 0.01323±0.00066 0.10850±0.04981 0.00933 0.02268 0.01959 0.03161 0.02229 0.212361 8 0.60140±0.00654 -0.00002 0.00774±0.00019 0.00742±0.00030 0.04109±0.04562 0.01778 0.03298 0.00534 0.00861 0.02397 0.270951 9 0.91790±0.01401 -0.00007 0.00226±0.00006 0.00301±0.00022 -0.32876±0.10335 0.03616 0.08652 0.01476 0.02382 0.03322 0.009012 4 0.53779±0.02322 -0.04263 0.02196±0.00055 0.00318±0.00027 0.85532±0.01280 0.01044 0.00647 0.00005 0.00007 0.00362 0.818322 5 0.62394±0.02324 -0.14284 0.01815±0.00045 0.00363±0.00026 0.79983±0.01528 0.01215 0.00749 0.00113 0.00183 0.00500 0.833072 6 0.61367±0.01081 -0.14453 0.00915±0.00023 0.00330±0.00018 0.63879±0.02159 0.00986 0.01196 0.00634 0.01022 0.00903 0.636312 7 0.67773±0.00641 -0.02611 0.00847±0.00021 0.00674±0.00086 0.20525±0.10360 0.00882 0.02075 0.05223 0.08426 0.01987 0.435202 8 0.68073±0.00708 -0.00013 0.01204±0.00030 0.01069±0.00049 0.11282±0.04615 0.01444 0.02990 0.01219 0.01967 0.02218 0.123062 9 0.65287±0.00615 -0.00010 0.01140±0.00028 0.01020±0.00041 0.10495±0.04228 0.01465 0.02864 0.00836 0.01349 0.02238 0.032542 10 0.63620±0.00702 -0.00002 0.00361±0.00009 0.00316±0.00066 0.12540±0.18364 0.02318 0.05575 0.09064 0.14623 0.02187 0.018633 5 0.50006±0.02041 -0.04988 0.02097±0.00052 0.00300±0.00024 0.85705±0.01201 0.00963 0.00616 0.00049 0.00080 0.00357 0.788443 6 0.65912±0.02316 -0.17705 0.02055±0.00051 0.00456±0.00031 0.77803±0.01605 0.01294 0.00768 0.00029 0.00046 0.00555 0.725183 7 0.63914±0.00881 -0.16067 0.01070±0.00027 0.00430±0.00021 0.59826±0.02200 0.00860 0.01258 0.00647 0.01044 0.01004 0.652963 8 0.69532±0.00751 -0.01439 0.00991±0.00025 0.00843±0.00118 0.14972±0.12070 0.01019 0.01963 0.06151 0.09922 0.02126 0.644133 9 0.72855±0.00488 -0.00007 0.01802±0.00045 0.01611±0.00061 0.10594±0.04039 0.00930 0.02184 0.01257 0.02027 0.02235 0.074683 10 0.71839±0.00583 -0.00009 0.01427±0.00036 0.01285±0.00066 0.09970±0.05132 0.01344 0.02499 0.01915 0.03090 0.02251 0.000033 11 0.67961±0.00628 -0.00002 0.00346±0.00009 0.00267±0.00093 0.22618±0.26958 0.02157 0.05596 0.13809 0.22278 0.01935 0.006284 6 0.51180±0.02062 -0.04957 0.01478±0.00037 0.00233±0.00019 0.84244±0.01362 0.01057 0.00763 0.00010 0.00016 0.00394 0.759184 7 0.65491±0.01989 -0.22192 0.02433±0.00061 0.00535±0.00034 0.78005±0.01510 0.01139 0.00798 0.00110 0.00178 0.00550 0.723034 8 0.69855±0.00910 -0.15441 0.01127±0.00028 0.00500±0.00023 0.55586±0.02353 0.00894 0.01296 0.00712 0.01149 0.01110 0.593894 9 0.75068±0.00518 -0.01945 0.01548±0.00039 0.01357±0.00140 0.12343±0.09282 0.00744 0.02124 0.04602 0.07424 0.02191 0.256844 10 0.76182±0.00564 -0.00011 0.02463±0.00062 0.02192±0.00063 0.11008±0.03385 0.01071 0.02156 0.00446 0.00720 0.02225 0.033544 11 0.77501±0.00505 -0.00002 0.01924±0.00048 0.01661±0.00139 0.13690±0.07545 0.01136 0.02528 0.03518 0.05676 0.02158 0.134304 12 0.73316±0.00659 -0.00004 0.00276±0.00007 0.00175±0.00067 0.36652±0.24432 0.01860 0.05996 0.12412 0.20024 0.01584 0.000435 7 0.56895±0.03127 -0.03779 0.00817±0.00020 0.00141±0.00016 0.82704±0.01952 0.01559 0.01082 0.00078 0.00126 0.00432 0.647555 8 0.70845±0.02990 -0.17317 0.01644±0.00041 0.00435±0.00034 0.73521±0.02178 0.01807 0.00964 0.00175 0.00282 0.00662 0.711575 9 0.75477±0.01048 -0.15435 0.01173±0.00029 0.00552±0.00026 0.52956±0.02518 0.01007 0.01459 0.00709 0.01144 0.01176 0.594305 10 0.78554±0.00615 -0.00817 0.01719±0.00043 0.01510±0.00143 0.12191±0.08574 0.00862 0.02391 0.04156 0.06705 0.02195 0.357665 11 0.81183±0.00544 -0.00006 0.02598±0.00065 0.02273±0.00060 0.12504±0.03175 0.00981 0.02080 0.00047 0.00075 0.02187 0.140565 12 0.74599±0.00548 -0.00007 0.01376±0.00034 0.01068±0.00133 0.22367±0.09828 0.01244 0.02987 0.04781 0.07713 0.01941 0.016965 13 0.73206±0.00651 -0.00000 0.00174±0.00004 0.00097±0.00042 0.44143±0.24168 0.01709 0.06955 0.12139 0.19583 0.01396 0.000006 8 0.80340±0.07159 -0.01861 0.00365±0.00009 0.00068±0.00012 0.81326±0.03434 0.02802 0.01928 0.00032 0.00051 0.00467 0.834226 9 0.68638±0.02041 -0.17250 0.01528±0.00038 0.00408±0.00026 0.73294±0.01837 0.01243 0.00955 0.00361 0.00583 0.00668 0.702416 10 0.77945±0.01047 -0.17281 0.01473±0.00037 0.00755±0.00038 0.48707±0.02874 0.01032 0.01361 0.01013 0.01634 0.01282 0.496906 11 0.84437±0.00531 -0.00535 0.02782±0.00070 0.02438±0.00180 0.12361±0.06827 0.00729 0.01855 0.03241 0.05228 0.02191 0.209316 12 0.86379±0.00494 -0.00008 0.02796±0.00070 0.02525±0.00063 0.09704±0.03202 0.00855 0.02092 0.00117 0.00188 0.02257 0.061266 13 0.83579±0.00598 -0.00006 0.01514±0.00038 0.01236±0.00145 0.18382±0.09783 0.01287 0.03145 0.04712 0.07602 0.02040 0.000306 14 0.78490±0.00688 -0.00003 0.00260±0.00006 0.00147±0.00053 0.43500±0.20478 0.01598 0.07001 0.10076 0.16256 0.01412 0.120017 9 2.36697±0.76495 -0.00101 0.00286±0.00007 0.00031±0.00022 0.89178±0.07682 0.06959 0.03232 0.00132 0.00213 0.00271 0.805607 10 0.78958±0.02943 -0.09970 0.00887±0.00022 0.00266±0.00021 0.70049±0.02512 0.01866 0.01505 0.00010 0.00015 0.00749 0.612207 11 0.86809±0.00777 -0.15823 0.01653±0.00041 0.01014±0.00064 0.38633±0.04146 0.00759 0.01540 0.01817 0.02931 0.01534 0.552397 12 0.89166±0.00602 -0.00192 0.02736±0.00068 0.02403±0.00153 0.12154±0.06024 0.00807 0.02053 0.02717 0.04384 0.02196 0.141767 13 0.87527±0.00606 -0.00004 0.02720±0.00068 0.02437±0.00072 0.10401±0.03456 0.01041 0.02413 0.00072 0.00116 0.02240 0.000777 14 0.87894±0.00700 -0.00009 0.01868±0.00047 0.01562±0.00139 0.16393±0.07722 0.01389 0.02682 0.03579 0.05773 0.02090 0.062787 15 0.73000±0.00529 -0.00005 0.00364±0.00009 0.00200±0.00068 0.45134±0.18652 0.01219 0.04833 0.09442 0.15232 0.01372 0.000138 10 1.42174±0.31354 -0.00014 0.00574±0.00014 0.00009±0.00005 0.98351±0.00897 0.00658 0.00607 0.00015 0.00024 0.00041 0.986998 11 1.39215±0.12795 -0.03320 0.00613±0.00015 0.00159±0.00026 0.74095±0.04359 0.03791 0.02037 0.00128 0.00207 0.00648 0.450238 12 0.97904±0.01224 -0.07919 0.01259±0.00031 0.00797±0.00054 0.36688±0.04605 0.01050 0.01833 0.01988 0.03207 0.01583 0.472048 13 0.94386±0.00664 -0.00837 0.02807±0.00070 0.02471±0.00175 0.11941±0.06599 0.00810 0.02212 0.03034 0.04894 0.02201 0.226998 14 0.93376±0.00581 -0.00028 0.04007±0.00100 0.03537±0.00098 0.11718±0.03288 0.00883 0.02031 0.00535 0.00864 0.02207 0.040168 15 0.96179±0.00621 -0.00003 0.03067±0.00077 0.02665±0.00162 0.13123±0.05705 0.01103 0.02365 0.02415 0.03896 0.02172 0.028388 16 0.98732±0.01152 -0.00021 0.00387±0.00010 0.00218±0.00060 0.43622±0.15486 0.02010 0.07162 0.07117 0.11482 0.01409 0.043729 11 1.11665±0.27238 -0.00004 0.00385±0.00010 0.00020±0.00019 0.94844±0.04857 0.03276 0.03508 0.00388 0.00627 0.00129 0.985759 12 1.03547±0.19322 -0.00007 0.00604±0.00015 0.00021±0.00011 0.96557±0.01866 0.01204 0.01419 0.00061 0.00099 0.00086 0.990889 13 1.05924±0.17363 -0.00010 0.00773±0.00019 0.00024±0.00011 0.96931±0.01400 0.01039 0.00915 0.00103 0.00166 0.00077 0.983199 14 1.12131±0.11273 -0.00007 0.01327±0.00033 0.00428±0.00066 0.67766±0.05022 0.04232 0.01870 0.00937 0.01512 0.00806 0.911459 15 0.95144±0.02740 -0.00027 0.04375±0.00109 0.03292±0.00179 0.24752±0.04500 0.03523 0.01990 0.00304 0.00491 0.01881 0.622329 16 0.91030±0.01408 -0.00012 0.05927±0.00148 0.04776±0.00206 0.19420±0.04018 0.02252 0.01632 0.01099 0.01773 0.02015 0.29738Table F.7: Pass 3 Target LH2, Energy 687, Octant 7, sbfil= 1.02400 ± 0.00500, r= 15.22642.188CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.70190±0.02449 -0.07875 0.04039±0.00101 0.00614±0.00057 0.84796±0.01456 0.01195 0.00734 0.00040 0.00083 0.00380 0.818191 4 0.66867±0.02491 -0.17096 0.01886±0.00047 0.00453±0.00043 0.75990±0.02338 0.01953 0.01133 0.00035 0.00072 0.00600 0.773461 5 0.69242±0.00831 -0.17466 0.01057±0.00026 0.00465±0.00025 0.55984±0.02567 0.01092 0.01867 0.00362 0.00754 0.01100 0.657591 6 0.70857±0.00687 -0.04787 0.01136±0.00028 0.00907±0.00110 0.20155±0.09901 0.01021 0.02331 0.04049 0.08437 0.01996 0.493411 7 0.59693±0.00404 -0.00027 0.01491±0.00037 0.01338±0.00083 0.10269±0.05969 0.01141 0.02831 0.01996 0.04159 0.02243 0.212361 8 0.39879±0.00468 -0.00002 0.00473±0.00012 0.00484±0.00028 -0.02397±0.06390 0.02755 0.04735 0.00895 0.01865 0.02560 0.270951 9 0.98658±0.02165 -0.00007 0.00079±0.00002 0.00307±0.00033 -2.87369±0.43214 0.21072 0.35076 0.04311 0.08983 0.09684 0.009012 4 0.70526±0.03055 -0.04365 0.02837±0.00071 0.00416±0.00047 0.85323±0.01693 0.01406 0.00869 0.00004 0.00008 0.00367 0.818322 5 0.71140±0.02885 -0.14627 0.01779±0.00044 0.00421±0.00042 0.76323±0.02428 0.02035 0.01152 0.00118 0.00246 0.00592 0.833072 6 0.79185±0.01238 -0.14800 0.00948±0.00024 0.00448±0.00027 0.52716±0.03072 0.01440 0.01969 0.00626 0.01304 0.01182 0.636312 7 0.77169±0.00668 -0.02674 0.01158±0.00029 0.00931±0.00109 0.19643±0.09584 0.00889 0.02286 0.03913 0.08154 0.02009 0.435202 8 0.73481±0.00727 -0.00014 0.01346±0.00034 0.01205±0.00066 0.10446±0.05418 0.01756 0.03820 0.01117 0.02328 0.02239 0.123062 9 0.59680±0.00617 -0.00010 0.00988±0.00025 0.00905±0.00051 0.08380±0.05607 0.02240 0.03994 0.00988 0.02059 0.02290 0.032542 10 0.58040±0.00871 -0.00002 0.00164±0.00004 0.00197±0.00082 -0.20460±0.50455 0.08402 0.14858 0.20502 0.42720 0.03011 0.018633 5 0.74410±0.03022 -0.05108 0.03097±0.00077 0.00450±0.00047 0.85478±0.01562 0.01276 0.00820 0.00034 0.00072 0.00363 0.788443 6 0.74226±0.02802 -0.18130 0.02044±0.00051 0.00516±0.00049 0.74754±0.02463 0.02083 0.01151 0.00030 0.00062 0.00631 0.725183 7 0.78886±0.00963 -0.16453 0.01146±0.00029 0.00557±0.00030 0.51405±0.02924 0.01162 0.01917 0.00619 0.01290 0.01215 0.652963 8 0.80188±0.00819 -0.01474 0.01390±0.00035 0.01207±0.00148 0.13217±0.10865 0.01047 0.02135 0.04490 0.09356 0.02170 0.644133 9 0.79972±0.00530 -0.00007 0.02037±0.00051 0.01855±0.00082 0.08901±0.04624 0.01184 0.02805 0.01138 0.02372 0.02277 0.074683 10 0.73630±0.00621 -0.00009 0.01373±0.00034 0.01220±0.00085 0.11088±0.06591 0.01969 0.03522 0.02040 0.04250 0.02223 0.000033 11 0.69207±0.00780 -0.00002 0.00183±0.00005 0.00114±0.00117 0.37917±0.63612 0.06681 0.14210 0.26662 0.55557 0.01552 0.006284 6 0.93733±0.03856 -0.05076 0.02639±0.00066 0.00427±0.00047 0.83808±0.01839 0.01465 0.01035 0.00006 0.00012 0.00405 0.759184 7 0.74687±0.02396 -0.22725 0.02408±0.00060 0.00601±0.00053 0.75053±0.02302 0.01834 0.01216 0.00114 0.00238 0.00624 0.723034 8 0.84702±0.00960 -0.15811 0.01186±0.00030 0.00639±0.00033 0.46115±0.03110 0.01184 0.01974 0.00692 0.01443 0.01347 0.593894 9 0.85712±0.00551 -0.01992 0.02140±0.00053 0.01842±0.00176 0.13905±0.08524 0.00758 0.02320 0.03409 0.07103 0.02152 0.256844 10 0.81733±0.00616 -0.00011 0.02714±0.00068 0.02395±0.00088 0.11759±0.03932 0.01404 0.02776 0.00415 0.00864 0.02206 0.033544 11 0.78008±0.00543 -0.00002 0.01638±0.00041 0.01418±0.00176 0.13434±0.10935 0.01897 0.03953 0.04232 0.08818 0.02164 0.134304 12 0.73735±0.00800 -0.00004 0.00141±0.00004 0.00055±0.00084 0.61175±0.60044 0.05862 0.15655 0.24948 0.51985 0.00971 0.000435 7 1.13779±0.06449 -0.03870 0.01598±0.00040 0.00286±0.00042 0.82107±0.02660 0.02173 0.01463 0.00041 0.00085 0.00447 0.647555 8 0.82319±0.03714 -0.17733 0.01712±0.00043 0.00517±0.00055 0.69795±0.03297 0.02850 0.01422 0.00172 0.00359 0.00755 0.711575 9 0.84759±0.01041 -0.15805 0.01178±0.00029 0.00653±0.00036 0.44529±0.03333 0.01318 0.02158 0.00723 0.01507 0.01387 0.594305 10 0.82234±0.00611 -0.00836 0.02145±0.00054 0.01863±0.00180 0.13157±0.08647 0.00910 0.02654 0.03412 0.07110 0.02171 0.357665 11 0.78886±0.00538 -0.00006 0.02533±0.00063 0.02204±0.00077 0.13000±0.03740 0.01316 0.02741 0.00049 0.00102 0.02175 0.140565 12 0.69094±0.00554 -0.00007 0.00998±0.00025 0.00771±0.00165 0.22747±0.16664 0.02291 0.05043 0.06748 0.14061 0.01931 0.016965 13 0.65348±0.00648 -0.00000 0.00090±0.00002 0.00020±0.00052 0.77348±0.57595 0.04321 0.15783 0.23891 0.49783 0.00566 0.000006 8 1.51513±0.12706 -0.01905 0.00753±0.00019 0.00128±0.00030 0.83025±0.03976 0.03191 0.02333 0.00016 0.00033 0.00424 0.834226 9 0.94034±0.02915 -0.17664 0.01871±0.00047 0.00584±0.00046 0.68782±0.02603 0.01918 0.01414 0.00302 0.00630 0.00780 0.702416 10 0.85786±0.01027 -0.17696 0.01535±0.00038 0.00893±0.00050 0.41835±0.03559 0.01285 0.01901 0.00995 0.02074 0.01454 0.496906 11 0.85568±0.00511 -0.00548 0.03213±0.00080 0.02841±0.00226 0.11577±0.07367 0.00803 0.02153 0.02873 0.05987 0.02211 0.209316 12 0.84731±0.00493 -0.00008 0.02698±0.00067 0.02490±0.00083 0.07720±0.03832 0.01169 0.02813 0.00124 0.00258 0.02307 0.061266 13 0.78888±0.00604 -0.00006 0.01097±0.00027 0.00896±0.00181 0.18336±0.16610 0.02376 0.05417 0.06657 0.13871 0.02042 0.000306 14 0.73638±0.00757 -0.00003 0.00153±0.00004 0.00045±0.00066 0.70551±0.43166 0.03938 0.14711 0.17472 0.36408 0.00736 0.120017 9 2.31032±0.74094 -0.00103 0.00290±0.00007 0.00026±0.00028 0.91032±0.09707 0.08786 0.04111 0.00133 0.00277 0.00224 0.805607 10 1.17673±0.04580 -0.10209 0.01218±0.00030 0.00396±0.00043 0.67519±0.03628 0.02798 0.02161 0.00007 0.00015 0.00812 0.612207 11 0.90008±0.00718 -0.16202 0.01803±0.00045 0.01181±0.00081 0.34463±0.04765 0.00851 0.01936 0.01706 0.03555 0.01638 0.552397 12 0.87517±0.00560 -0.00197 0.03013±0.00075 0.02671±0.00192 0.11349±0.06759 0.00903 0.02420 0.02526 0.05264 0.02216 0.141767 13 0.83320±0.00595 -0.00004 0.02584±0.00065 0.02312±0.00091 0.10519±0.04158 0.01423 0.03198 0.00077 0.00161 0.02237 0.000777 14 0.80501±0.00678 -0.00009 0.01373±0.00034 0.01172±0.00173 0.14635±0.12757 0.02421 0.04420 0.04986 0.10389 0.02134 0.062787 15 0.67877±0.00555 -0.00005 0.00210±0.00005 0.00074±0.00084 0.64902±0.40188 0.02930 0.10300 0.16755 0.34913 0.00877 0.000138 10 1.04975±0.21770 -0.00015 0.00444±0.00011 0.00007±0.00005 0.98523±0.01095 0.00781 0.00766 0.00020 0.00041 0.00037 0.986998 11 1.74621±0.15816 -0.03400 0.00736±0.00018 0.00206±0.00043 0.72031±0.05929 0.05164 0.02816 0.00109 0.00228 0.00699 0.450238 12 1.10241±0.01252 -0.08109 0.01534±0.00038 0.01030±0.00071 0.32861±0.04910 0.01167 0.02240 0.01670 0.03481 0.01678 0.472048 13 0.91610±0.00608 -0.00857 0.03083±0.00077 0.02773±0.00218 0.10062±0.07432 0.00892 0.02584 0.02828 0.05892 0.02248 0.226998 14 0.84764±0.00535 -0.00028 0.03681±0.00092 0.03298±0.00118 0.10403±0.03916 0.01170 0.02654 0.00597 0.01244 0.02240 0.040168 15 0.88866±0.00611 -0.00004 0.02459±0.00061 0.02146±0.00201 0.12716±0.08475 0.01792 0.03606 0.03085 0.06429 0.02182 0.028388 16 0.95412±0.01291 -0.00022 0.00268±0.00007 0.00085±0.00075 0.68391±0.28034 0.04304 0.13222 0.10527 0.21935 0.00790 0.043729 11 0.83623±0.19111 -0.00005 0.00309±0.00008 0.00009±0.00018 0.97132±0.05865 0.03787 0.04329 0.00495 0.01032 0.00072 0.985759 12 0.88286±0.15686 -0.00007 0.00542±0.00014 0.00016±0.00012 0.97013±0.02303 0.01442 0.01786 0.00070 0.00146 0.00075 0.990889 13 0.91477±0.14465 -0.00011 0.00691±0.00017 0.00017±0.00012 0.97543±0.01755 0.01279 0.01168 0.00118 0.00246 0.00061 0.983199 14 1.09160±0.10660 -0.00007 0.01313±0.00033 0.00482±0.00083 0.63321±0.06358 0.05350 0.02434 0.00970 0.02022 0.00917 0.911459 15 0.98270±0.02783 -0.00027 0.04633±0.00116 0.03463±0.00241 0.25251±0.05525 0.04469 0.02568 0.00294 0.00613 0.01869 0.622329 16 0.93536±0.01530 -0.00012 0.05853±0.00146 0.04615±0.00279 0.21147±0.05159 0.03277 0.02247 0.01140 0.02375 0.01971 0.29738Table F.8: Pass 3 Target LH2, Energy 687, Octant 8, sbfil= 1.00000 ± 0.00500, r= 15.00385.189CED FPD # m Ymeastot Ysimelas fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.51172±0.01658 0.03900 0.08490±0.00212 0.06324±0.00297 0.25511±0.03958 0.01425 0.02933 0.00608 0.01094 0.01862 0.225181 4 1.38468±0.01323 0.02367 0.07331±0.00183 0.05285±0.00214 0.27906±0.03433 0.01222 0.02504 0.00427 0.00769 0.01802 0.162161 5 1.07663±0.00691 0.31205 0.10057±0.00251 0.08229±0.00881 0.18175±0.09000 0.00756 0.02192 0.04109 0.07387 0.02046 0.098481 6 0.91878±0.00474 0.42840 0.20114±0.00503 0.18397±0.01265 0.08536±0.06691 0.00768 0.02300 0.02820 0.05070 0.02287 0.032791 7 0.84546±0.00404 0.06977 0.18869±0.00472 0.17105±0.00471 0.09350±0.03370 0.00780 0.02144 0.00490 0.00880 0.02266 0.011061 8 0.66976±0.00480 -0.31024 0.06014±0.00150 0.04906±0.00871 0.18430±0.14620 0.01311 0.03227 0.06830 0.12280 0.02039 0.000001 9 0.79426±0.01351 -0.10051 0.00871±0.00022 0.00476±0.00285 0.45290±0.32808 0.03213 0.08665 0.15287 0.27484 0.01368 0.000002 4 1.44065±0.01878 0.00186 0.05050±0.00126 0.03797±0.00206 0.24810±0.04489 0.01792 0.03661 0.00049 0.00087 0.01880 0.189942 5 1.31708±0.01365 0.04901 0.06012±0.00150 0.04475±0.00220 0.25559±0.04112 0.01308 0.02609 0.01080 0.01941 0.01861 0.091132 6 1.04334±0.00739 0.30842 0.08484±0.00212 0.07153±0.00873 0.15689±0.10507 0.00836 0.02685 0.04813 0.08654 0.02108 0.042902 7 0.97556±0.00518 0.25023 0.19595±0.00490 0.17546±0.00839 0.10458±0.04832 0.00808 0.02363 0.01691 0.03040 0.02239 0.025102 8 0.90834±0.00509 -0.04242 0.14576±0.00364 0.12844±0.00409 0.11886±0.03566 0.00921 0.02528 0.00385 0.00693 0.02203 0.000342 9 0.81604±0.00525 -0.39222 0.07397±0.00185 0.05262±0.01098 0.28858±0.14952 0.01109 0.03245 0.07021 0.12623 0.01779 0.004022 10 0.69589±0.00833 -0.04612 0.00638±0.00016 0.00157±0.00137 0.75460±0.21465 0.01120 0.08466 0.09568 0.17201 0.00613 0.000003 5 1.33305±0.01550 0.00666 0.05328±0.00133 0.03713±0.00177 0.30319±0.03754 0.01467 0.02964 0.00165 0.00298 0.01742 0.192103 6 1.28776±0.01080 0.05041 0.07269±0.00182 0.05144±0.00240 0.29240±0.03747 0.01016 0.02511 0.00918 0.01651 0.01769 0.079083 7 1.02783±0.00615 0.50777 0.13188±0.00330 0.11826±0.01430 0.10327±0.11071 0.00756 0.02638 0.05098 0.09166 0.02242 0.027893 8 0.95214±0.00507 0.41063 0.21464±0.00537 0.19492±0.01231 0.09186±0.06167 0.00793 0.02255 0.02533 0.04554 0.02270 0.011393 9 0.93645±0.00461 -0.11559 0.20449±0.00511 0.17901±0.00566 0.12461±0.03530 0.00816 0.02153 0.00748 0.01346 0.02188 0.005143 10 0.84819±0.00525 -0.43543 0.06641±0.00166 0.04067±0.01209 0.38766±0.18261 0.01028 0.03330 0.08681 0.15608 0.01531 0.001193 11 0.68578±0.00534 -0.01243 0.00584±0.00015 0.00062±0.00049 0.89437±0.08418 0.00261 0.06087 0.02821 0.05071 0.00264 0.007814 6 1.43553±0.02087 0.00196 0.04728±0.00118 0.03266±0.00175 0.30913±0.04091 0.01834 0.03221 0.00055 0.00099 0.01727 0.220974 7 1.22073±0.00945 0.04790 0.09040±0.00226 0.06513±0.00299 0.27945±0.03763 0.00975 0.02808 0.00702 0.01262 0.01801 0.101334 8 1.00969±0.00619 0.57133 0.14559±0.00364 0.13194±0.01609 0.09373±0.11282 0.00785 0.02693 0.05196 0.09342 0.02266 0.013194 9 0.96727±0.00430 0.26090 0.30281±0.00757 0.26984±0.00943 0.10889±0.03830 0.00690 0.01929 0.01141 0.02051 0.02228 0.014144 10 0.94682±0.00428 -0.27385 0.24905±0.00623 0.21627±0.00933 0.13159±0.04331 0.00765 0.02118 0.01456 0.02618 0.02171 0.000604 11 0.82620±0.00431 -0.43403 0.06610±0.00165 0.03181±0.01201 0.51873±0.18207 0.00734 0.03099 0.08694 0.15631 0.01203 0.002774 12 0.67560±0.00569 -0.00214 0.00551±0.00014 0.00039±0.00020 0.93012±0.03717 0.00129 0.03558 0.00513 0.00923 0.00175 0.015395 7 1.55537±0.02643 0.01208 0.03134±0.00078 0.02129±0.00146 0.32087±0.04944 0.02019 0.04047 0.00510 0.00917 0.01698 0.089075 8 1.19289±0.00960 0.06452 0.06631±0.00166 0.04725±0.00258 0.28740±0.04274 0.00961 0.02672 0.01288 0.02316 0.01781 0.079005 9 1.00297±0.00575 0.62314 0.15904±0.00398 0.14440±0.01747 0.09205±0.11220 0.00738 0.02503 0.05188 0.09328 0.02270 0.055135 10 0.94465±0.00444 0.30074 0.28379±0.00709 0.25489±0.01024 0.10183±0.04250 0.00729 0.02038 0.01403 0.02523 0.02245 0.006215 11 0.92789±0.00453 -0.50575 0.21542±0.00539 0.17723±0.01471 0.17728±0.07133 0.00840 0.02246 0.03109 0.05589 0.02057 0.002155 12 0.81989±0.00568 -0.20454 0.03024±0.00076 0.00989±0.00571 0.67309±0.18887 0.00786 0.03995 0.08956 0.16101 0.00817 0.000005 13 0.64288±0.00425 -0.00169 0.00504±0.00013 0.00020±0.00011 0.95956±0.02120 0.00063 0.01908 0.00445 0.00799 0.00101 0.011706 8 1.99923±0.04373 0.00766 0.01803±0.00045 0.01142±0.00119 0.36659±0.06771 0.02362 0.06035 0.00563 0.01011 0.01584 0.046786 9 1.21393±0.00977 0.11706 0.07906±0.00198 0.05511±0.00381 0.30286±0.05130 0.00890 0.02493 0.01961 0.03525 0.01743 0.076276 10 0.99614±0.00506 0.76213 0.22993±0.00575 0.20798±0.02141 0.09545±0.09582 0.00681 0.02172 0.04389 0.07891 0.02261 0.031406 11 0.96185±0.00397 0.14389 0.38457±0.00961 0.33905±0.00854 0.11838±0.03128 0.00654 0.01861 0.00495 0.00891 0.02204 0.006746 12 0.92649±0.00469 -0.66486 0.19126±0.00478 0.14785±0.01875 0.22694±0.09991 0.00876 0.02374 0.04603 0.08276 0.01933 0.000006 13 0.77644±0.00445 -0.18047 0.03030±0.00076 0.00826±0.00505 0.72745±0.16685 0.00543 0.03798 0.07886 0.14178 0.00681 0.000006 14 0.67366±0.00533 -0.00765 0.00762±0.00019 0.00065±0.00037 0.91471±0.04837 0.00176 0.03981 0.01329 0.02389 0.00213 0.000007 9 3.81165±0.34429 -0.00361 0.01024±0.00026 0.00358±0.00134 0.65043±0.13067 0.06964 0.10980 0.00467 0.00839 0.00874 0.523967 10 1.31502±0.01302 0.11464 0.05939±0.00148 0.04219±0.00370 0.28969±0.06485 0.01047 0.03188 0.02556 0.04595 0.01776 0.062487 11 0.98410±0.00481 0.79720 0.28821±0.00721 0.26072±0.02266 0.09539±0.08183 0.00682 0.02144 0.03663 0.06585 0.02262 0.034347 12 0.94908±0.00428 0.06111 0.33614±0.00840 0.29645±0.00719 0.11809±0.03071 0.00722 0.01950 0.00241 0.00433 0.02205 0.007927 13 0.91778±0.00493 -0.64100 0.18245±0.00456 0.14182±0.01810 0.22269±0.10111 0.00934 0.02446 0.04652 0.08364 0.01943 0.003587 14 0.77025±0.00445 -0.26487 0.03810±0.00095 0.01177±0.00733 0.69092±0.19270 0.00626 0.03405 0.09207 0.16552 0.00773 0.001417 15 0.62717±0.00395 -0.00824 0.00951±0.00024 0.00053±0.00030 0.94447±0.03190 0.00097 0.02138 0.01148 0.02064 0.00139 0.010278 10 2.38295±0.34143 -0.00288 0.00551±0.00014 0.00129±0.00083 0.76513±0.15027 0.07895 0.12693 0.00691 0.01242 0.00587 0.899448 11 1.82976±0.02966 0.09660 0.04624±0.00116 0.03747±0.00399 0.18965±0.08869 0.01810 0.06236 0.02766 0.04973 0.02026 0.157308 12 1.16102±0.00666 0.38163 0.26371±0.00659 0.23672±0.01255 0.10235±0.05260 0.00852 0.02523 0.01916 0.03445 0.02244 0.036408 13 0.98924±0.00439 0.05901 0.37502±0.00938 0.32833±0.00814 0.12450±0.03083 0.00706 0.02008 0.00208 0.00375 0.02189 0.004498 14 0.92937±0.00426 -0.47957 0.28920±0.00723 0.23845±0.01442 0.17548±0.05395 0.00762 0.01968 0.02196 0.03948 0.02061 0.001498 15 0.79247±0.00416 -0.47174 0.08024±0.00201 0.04254±0.01314 0.46985±0.16429 0.00747 0.03329 0.07785 0.13997 0.01325 0.001808 16 0.67280±0.00515 -0.00681 0.00847±0.00021 0.00073±0.00029 0.91340±0.03458 0.00162 0.02663 0.01064 0.01912 0.00216 0.002319 11 3.47070±0.57019 0.00002 0.00647±0.00016 0.00072±0.00047 0.88842±0.07262 0.03347 0.06439 0.00004 0.00007 0.00279 0.823089 12 2.88790±0.33510 -0.00071 0.00750±0.00019 0.00084±0.00051 0.88818±0.06757 0.02686 0.06189 0.00125 0.00224 0.00280 0.731379 13 2.60232±0.24665 -0.00455 0.01268±0.00032 0.00181±0.00081 0.85690±0.06418 0.03342 0.05380 0.00475 0.00853 0.00358 0.804859 14 1.98688±0.02427 0.06656 0.13066±0.00327 0.10372±0.00571 0.20620±0.04802 0.01659 0.03801 0.00674 0.01213 0.01985 0.273209 15 1.18513±0.00557 -0.44012 0.40105±0.01003 0.32953±0.01495 0.17832±0.04255 0.00768 0.02089 0.01453 0.02613 0.02054 0.042369 16 1.05459±0.00440 -1.00135 0.34614±0.00865 0.23559±0.02821 0.31939±0.08325 0.00643 0.01975 0.03831 0.06887 0.01702 0.01348Table F.9: Pass 3 Target LH2, Energy 362, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.69683.190CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.54334±0.01709 0.03885 0.08576±0.00214 0.06393±0.00274 0.25451±0.03697 0.01312 0.02675 0.00600 0.00977 0.01864 0.225181 4 1.41028±0.01376 0.02357 0.07337±0.00183 0.05348±0.00198 0.27115±0.03253 0.01146 0.02300 0.00425 0.00693 0.01822 0.162161 5 1.14904±0.00762 0.31082 0.10427±0.00261 0.08407±0.00818 0.19375±0.08102 0.00726 0.02036 0.03947 0.06429 0.02016 0.098481 6 0.96224±0.00506 0.42671 0.20856±0.00521 0.18835±0.01175 0.09690±0.06067 0.00713 0.02096 0.02709 0.04413 0.02258 0.032791 7 0.80762±0.00384 0.06949 0.18093±0.00452 0.16280±0.00411 0.10018±0.03195 0.00698 0.01928 0.00509 0.00828 0.02250 0.011061 8 0.58187±0.00406 -0.30902 0.05451±0.00136 0.04451±0.00799 0.18342±0.14800 0.01104 0.02791 0.07507 0.12227 0.02041 0.000001 9 0.58534±0.00951 -0.10012 0.00630±0.00016 0.00413±0.00259 0.34552±0.41100 0.02818 0.07958 0.21027 0.34251 0.01636 0.000002 4 1.51347±0.01998 0.00185 0.05245±0.00131 0.03986±0.00196 0.24005±0.04186 0.01656 0.03341 0.00047 0.00076 0.01900 0.189942 5 1.37266±0.01452 0.04882 0.06145±0.00154 0.04594±0.00207 0.25253±0.03847 0.01228 0.02400 0.01052 0.01713 0.01869 0.091132 6 1.11146±0.00815 0.30720 0.08756±0.00219 0.07262±0.00811 0.17070±0.09489 0.00806 0.02501 0.04646 0.07567 0.02073 0.042902 7 0.99469±0.00537 0.24924 0.19691±0.00492 0.17630±0.00775 0.10470±0.04530 0.00753 0.02163 0.01676 0.02730 0.02238 0.025102 8 0.86756±0.00484 -0.04225 0.13996±0.00350 0.12306±0.00354 0.12073±0.03353 0.00822 0.02269 0.00400 0.00651 0.02198 0.000342 9 0.73751±0.00464 -0.39067 0.06800±0.00170 0.05059±0.01010 0.25605±0.14970 0.00962 0.02879 0.07607 0.12392 0.01860 0.004022 10 0.54457±0.00617 -0.04594 0.00474±0.00012 0.00149±0.00122 0.68593±0.25848 0.01009 0.08051 0.12833 0.20904 0.00785 0.000003 5 1.38041±0.01624 0.00663 0.05454±0.00136 0.03835±0.00166 0.29684±0.03514 0.01356 0.02706 0.00161 0.00262 0.01758 0.192103 6 1.32556±0.01135 0.05021 0.07319±0.00183 0.05225±0.00223 0.28610±0.03534 0.00958 0.02317 0.00909 0.01480 0.01785 0.079083 7 1.06717±0.00660 0.50576 0.13216±0.00330 0.11712±0.01324 0.11384±0.10263 0.00730 0.02466 0.05067 0.08254 0.02215 0.027893 8 0.95295±0.00513 0.40901 0.21236±0.00531 0.19099±0.01134 0.10064±0.05796 0.00733 0.02059 0.02550 0.04154 0.02248 0.011393 9 0.92275±0.00450 -0.11513 0.20270±0.00507 0.17750±0.00510 0.12432±0.03334 0.00725 0.01931 0.00752 0.01225 0.02189 0.005143 10 0.80369±0.00485 -0.43371 0.06311±0.00158 0.04220±0.01115 0.33133±0.17752 0.00901 0.02997 0.09100 0.14824 0.01672 0.001193 11 0.54710±0.00410 -0.01238 0.00456±0.00011 0.00056±0.00040 0.87648±0.08883 0.00231 0.05611 0.03597 0.05860 0.00309 0.007814 6 1.46569±0.02146 0.00195 0.04792±0.00120 0.03332±0.00162 0.30472±0.03798 0.01679 0.02928 0.00054 0.00088 0.01738 0.220974 7 1.25159±0.00994 0.04771 0.09020±0.00226 0.06615±0.00277 0.26661±0.03577 0.00927 0.02604 0.00700 0.01141 0.01833 0.101334 8 1.02637±0.00649 0.56907 0.14247±0.00356 0.12799±0.01488 0.10168±0.10686 0.00759 0.02524 0.05289 0.08615 0.02246 0.013194 9 0.99298±0.00446 0.25987 0.30708±0.00768 0.27430±0.00874 0.10677±0.03618 0.00638 0.01762 0.01121 0.01825 0.02233 0.014144 10 0.94866±0.00423 -0.27276 0.25201±0.00630 0.21941±0.00856 0.12935±0.04035 0.00675 0.01893 0.01433 0.02334 0.02177 0.000604 11 0.75362±0.00385 -0.43232 0.05965±0.00149 0.03244±0.01108 0.45606±0.18622 0.00657 0.02827 0.09598 0.15633 0.01360 0.002774 12 0.53929±0.00437 -0.00213 0.00454±0.00011 0.00032±0.00015 0.92971±0.03332 0.00109 0.03107 0.00620 0.01010 0.00176 0.015395 7 1.55500±0.02664 0.01203 0.03077±0.00077 0.02108±0.00132 0.31473±0.04610 0.01870 0.03720 0.00518 0.00843 0.01713 0.089075 8 1.22206±0.01011 0.06426 0.06581±0.00165 0.04758±0.00239 0.27697±0.04052 0.00921 0.02489 0.01293 0.02106 0.01808 0.079005 9 1.02412±0.00606 0.62068 0.15516±0.00388 0.14076±0.01617 0.09281±0.10665 0.00719 0.02364 0.05297 0.08628 0.02268 0.055135 10 0.97338±0.00461 0.29956 0.29002±0.00725 0.25958±0.00950 0.10495±0.03966 0.00668 0.01855 0.01368 0.02228 0.02238 0.006215 11 0.90768±0.00436 -0.50375 0.21265±0.00532 0.17818±0.01354 0.16211±0.06702 0.00739 0.02008 0.03137 0.05110 0.02095 0.002155 12 0.70341±0.00471 -0.20373 0.02434±0.00061 0.00999±0.00524 0.58972±0.21564 0.00731 0.03842 0.11082 0.18051 0.01026 0.000005 13 0.50308±0.00323 -0.00168 0.00382±0.00010 0.00017±0.00008 0.95599±0.02100 0.00057 0.01775 0.00583 0.00950 0.00110 0.011706 8 1.79001±0.03967 0.00763 0.01576±0.00039 0.01008±0.00097 0.36002±0.06333 0.02213 0.05581 0.00641 0.01045 0.01600 0.046786 9 1.19390±0.00994 0.11660 0.07426±0.00186 0.05274±0.00349 0.28973±0.05025 0.00869 0.02355 0.02079 0.03387 0.01776 0.076276 10 1.01993±0.00533 0.75912 0.22646±0.00566 0.20481±0.01981 0.09560±0.09037 0.00657 0.02037 0.04439 0.07230 0.02261 0.031406 11 0.97398±0.00403 0.14332 0.38266±0.00957 0.34186±0.00782 0.10662±0.03028 0.00602 0.01709 0.00496 0.00808 0.02233 0.006746 12 0.87312±0.00433 -0.66223 0.18092±0.00452 0.14541±0.01726 0.19626±0.09747 0.00771 0.02135 0.04847 0.07895 0.02009 0.000006 13 0.65039±0.00365 -0.17976 0.02323±0.00058 0.00815±0.00463 0.64930±0.19966 0.00524 0.03745 0.10246 0.16690 0.00877 0.000006 14 0.51640±0.00401 -0.00762 0.00579±0.00014 0.00054±0.00029 0.90690±0.04925 0.00156 0.03621 0.01740 0.02835 0.00233 0.000007 9 2.87803±0.25826 -0.00360 0.00658±0.00016 0.00281±0.00091 0.57261±0.13876 0.07339 0.11646 0.00723 0.01178 0.01068 0.523967 10 1.32764±0.01362 0.11419 0.05646±0.00141 0.04100±0.00342 0.27381±0.06318 0.01040 0.03055 0.02678 0.04362 0.01815 0.062487 11 1.02356±0.00513 0.79405 0.28988±0.00725 0.26263±0.02100 0.09402±0.07591 0.00653 0.02001 0.03627 0.05908 0.02265 0.034347 12 0.95465±0.00431 0.06087 0.33301±0.00833 0.29758±0.00653 0.10640±0.02973 0.00662 0.01787 0.00242 0.00394 0.02234 0.007927 13 0.86885±0.00459 -0.63846 0.17141±0.00429 0.14009±0.01666 0.18275±0.09934 0.00834 0.02224 0.04932 0.08034 0.02043 0.003587 14 0.64762±0.00366 -0.26383 0.03035±0.00076 0.01170±0.00675 0.61460±0.22269 0.00584 0.03244 0.11512 0.18751 0.00963 0.001417 15 0.49093±0.00302 -0.00821 0.00735±0.00018 0.00046±0.00025 0.93805±0.03438 0.00087 0.01952 0.01478 0.02408 0.00155 0.010278 10 2.13266±0.30510 -0.00286 0.00507±0.00013 0.00122±0.00067 0.75901±0.13200 0.06916 0.11136 0.00748 0.01218 0.00602 0.899448 11 1.70706±0.02854 0.09622 0.04057±0.00101 0.03323±0.00351 0.18075±0.08903 0.01793 0.05985 0.03141 0.05116 0.02048 0.157308 12 1.16449±0.00682 0.38012 0.25677±0.00642 0.23277±0.01154 0.09346±0.05033 0.00808 0.02346 0.01960 0.03193 0.02266 0.036408 13 0.98896±0.00441 0.05877 0.36591±0.00915 0.32763±0.00736 0.10463±0.03009 0.00656 0.01856 0.00213 0.00346 0.02238 0.004498 14 0.87292±0.00394 -0.47767 0.27180±0.00680 0.22835±0.01315 0.15987±0.05273 0.00677 0.01775 0.02327 0.03791 0.02100 0.001498 15 0.74207±0.00384 -0.46988 0.07289±0.00182 0.04350±0.01211 0.40327±0.16687 0.00684 0.03096 0.08536 0.13904 0.01492 0.001808 16 0.57510±0.00427 -0.00678 0.00686±0.00017 0.00067±0.00024 0.90260±0.03575 0.00149 0.02538 0.01309 0.02132 0.00244 0.002319 11 2.50783±0.40657 0.00002 0.00460±0.00011 0.00052±0.00031 0.88655±0.06652 0.03033 0.05913 0.00005 0.00008 0.00284 0.823089 12 2.62773±0.30685 -0.00070 0.00690±0.00017 0.00078±0.00042 0.88668±0.06034 0.02410 0.05519 0.00135 0.00220 0.00283 0.731379 13 2.38620±0.22596 -0.00453 0.01107±0.00028 0.00178±0.00067 0.83948±0.06102 0.03164 0.05098 0.00541 0.00882 0.00401 0.804859 14 1.70309±0.02088 0.06630 0.10979±0.00274 0.08772±0.00452 0.20099±0.04574 0.01533 0.03499 0.00800 0.01302 0.01998 0.273209 15 1.15817±0.00538 -0.43838 0.38685±0.00967 0.32737±0.01360 0.15375±0.04102 0.00694 0.01910 0.01501 0.02444 0.02116 0.042369 16 0.95864±0.00390 -0.99740 0.30865±0.00772 0.22420±0.02592 0.27360±0.08592 0.00578 0.01817 0.04279 0.06970 0.01816 0.01348Table F.10: Pass 3 Target LH2, Energy 362, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.55837.191CED FPD # m Ymeastot Ysimelas fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.50414±0.01746 0.03847 0.08268±0.00207 0.06079±0.00204 0.26467±0.03080 0.01038 0.02020 0.00616 0.00757 0.01838 0.225181 4 1.36915±0.01303 0.02334 0.06993±0.00175 0.05108±0.00145 0.26954±0.02758 0.00850 0.01749 0.00442 0.00543 0.01826 0.162161 5 1.08140±0.00685 0.30778 0.09095±0.00227 0.07041±0.00664 0.22581±0.07558 0.00558 0.01641 0.04481 0.05504 0.01935 0.098481 6 0.92396±0.00465 0.42253 0.18924±0.00473 0.17064±0.00946 0.09829±0.05482 0.00540 0.01656 0.02956 0.03632 0.02254 0.032791 7 0.85506±0.00402 0.06881 0.19342±0.00484 0.17082±0.00327 0.11680±0.02780 0.00511 0.01426 0.00471 0.00579 0.02208 0.011061 8 0.68864±0.00487 -0.30599 0.06800±0.00170 0.05819±0.00658 0.14418±0.09910 0.00794 0.01978 0.05959 0.07320 0.02140 0.000001 9 0.67265±0.01099 -0.09914 0.01074±0.00027 0.00649±0.00213 0.39626±0.19872 0.01428 0.04007 0.12218 0.15008 0.01509 0.000002 4 1.37757±0.02039 0.00183 0.04769±0.00119 0.03621±0.00136 0.24068±0.03431 0.01388 0.02498 0.00051 0.00062 0.01898 0.189942 5 1.27112±0.01222 0.04834 0.05728±0.00143 0.04093±0.00151 0.28543±0.03191 0.00828 0.01781 0.01118 0.01373 0.01786 0.091132 6 1.05165±0.00742 0.30419 0.07615±0.00190 0.06034±0.00658 0.20762±0.08869 0.00630 0.02032 0.05290 0.06498 0.01981 0.042902 7 1.00108±0.00512 0.24680 0.18956±0.00474 0.17096±0.00618 0.09811±0.03963 0.00556 0.01689 0.01724 0.02118 0.02255 0.025102 8 0.90325±0.00501 -0.04184 0.14661±0.00367 0.12911±0.00277 0.11937±0.02900 0.00607 0.01684 0.00378 0.00464 0.02202 0.000342 9 0.80682±0.00543 -0.38685 0.08041±0.00201 0.06351±0.00829 0.21013±0.10497 0.00711 0.01989 0.06371 0.07826 0.01975 0.004022 10 0.68126±0.00740 -0.04549 0.00805±0.00020 0.00267±0.00102 0.66806±0.12685 0.00532 0.04427 0.07479 0.09187 0.00830 0.000003 5 1.27267±0.01688 0.00657 0.04840±0.00121 0.03514±0.00118 0.27399±0.03031 0.01186 0.02100 0.00180 0.00221 0.01815 0.192103 6 1.26373±0.01081 0.04972 0.06809±0.00170 0.04817±0.00167 0.29260±0.03025 0.00732 0.01773 0.00967 0.01188 0.01769 0.079083 7 1.04170±0.00625 0.50081 0.11756±0.00294 0.10067±0.01079 0.14371±0.09425 0.00580 0.02021 0.05641 0.06929 0.02141 0.027893 8 0.95497±0.00495 0.40501 0.20649±0.00516 0.18127±0.00917 0.12214±0.04954 0.00543 0.01585 0.02597 0.03190 0.02195 0.011393 9 0.92313±0.00445 -0.11400 0.20644±0.00516 0.18033±0.00393 0.12649±0.02897 0.00526 0.01417 0.00731 0.00898 0.02184 0.005143 10 0.84846±0.00547 -0.42947 0.07613±0.00190 0.05408±0.00914 0.28962±0.12140 0.00630 0.01958 0.07470 0.09175 0.01776 0.001193 11 0.68669±0.00749 -0.01226 0.00680±0.00017 0.00093±0.00035 0.86370±0.05185 0.00212 0.03524 0.02387 0.02933 0.00341 0.007814 6 1.24094±0.01794 0.00193 0.03991±0.00100 0.02815±0.00102 0.29461±0.03106 0.01259 0.02223 0.00064 0.00079 0.01763 0.220974 7 1.20044±0.00948 0.04725 0.08432±0.00211 0.06197±0.00204 0.26507±0.03039 0.00707 0.01995 0.00742 0.00911 0.01837 0.101334 8 1.02577±0.00624 0.56350 0.13089±0.00327 0.11278±0.01214 0.13832±0.09525 0.00593 0.02050 0.05701 0.07003 0.02154 0.013194 9 0.97262±0.00425 0.25733 0.29433±0.00736 0.26212±0.00684 0.10944±0.03218 0.00474 0.01345 0.01158 0.01422 0.02226 0.014144 10 0.93961±0.00426 -0.27009 0.25621±0.00641 0.22396±0.00679 0.12587±0.03436 0.00499 0.01377 0.01396 0.01715 0.02185 0.000604 11 0.83227±0.00487 -0.42809 0.07446±0.00186 0.04515±0.00909 0.39364±0.12305 0.00496 0.01868 0.07612 0.09351 0.01516 0.002774 12 0.61800±0.00646 -0.00211 0.00579±0.00014 0.00040±0.00013 0.93089±0.02231 0.00094 0.02087 0.00482 0.00592 0.00173 0.015395 7 1.32163±0.02014 0.01191 0.02555±0.00064 0.01751±0.00083 0.31487±0.03686 0.01271 0.02842 0.00617 0.00758 0.01713 0.089075 8 1.19911±0.01051 0.06363 0.06112±0.00153 0.04469±0.00186 0.26881±0.03544 0.00769 0.01964 0.01379 0.01694 0.01828 0.079005 9 1.03942±0.00591 0.61461 0.14518±0.00363 0.12615±0.01321 0.13108±0.09356 0.00560 0.01915 0.05606 0.06886 0.02172 0.055135 10 0.95265±0.00435 0.29662 0.27795±0.00695 0.24666±0.00748 0.11259±0.03489 0.00491 0.01414 0.01413 0.01736 0.02219 0.006215 11 0.90145±0.00437 -0.49883 0.22005±0.00550 0.18872±0.01099 0.14238±0.05437 0.00534 0.01439 0.03002 0.03687 0.02144 0.002155 12 0.68005±0.00437 -0.20174 0.03111±0.00078 0.01325±0.00429 0.57415±0.13822 0.00396 0.02171 0.08588 0.10549 0.01065 0.000005 13 0.56291±0.00536 -0.00167 0.00465±0.00012 0.00021±0.00007 0.95418±0.01440 0.00058 0.01221 0.00475 0.00584 0.00115 0.011706 8 1.58688±0.03329 0.00756 0.01346±0.00034 0.00863±0.00064 0.35907±0.05030 0.01624 0.04326 0.00743 0.00913 0.01602 0.046786 9 1.16430±0.00962 0.11546 0.06865±0.00172 0.04792±0.00278 0.30198±0.04404 0.00680 0.01856 0.02227 0.02736 0.01745 0.076276 10 1.01856±0.00515 0.75169 0.20808±0.00520 0.18450±0.01617 0.11331±0.08082 0.00516 0.01654 0.04783 0.05876 0.02217 0.031406 11 0.96687±0.00390 0.14192 0.37923±0.00948 0.33577±0.00593 0.11459±0.02710 0.00438 0.01278 0.00496 0.00609 0.02214 0.006746 12 0.89328±0.00450 -0.65575 0.19768±0.00494 0.16410±0.01411 0.16986±0.07433 0.00547 0.01493 0.04393 0.05396 0.02075 0.000006 13 0.68710±0.00441 -0.17800 0.03089±0.00077 0.01181±0.00380 0.61784±0.12329 0.00356 0.02221 0.07629 0.09371 0.00955 0.000006 14 0.53211±0.00443 -0.00754 0.00671±0.00017 0.00066±0.00023 0.90156±0.03378 0.00112 0.02405 0.01488 0.01827 0.00246 0.000007 9 2.54537±0.21449 -0.00356 0.00726±0.00018 0.00272±0.00059 0.62502±0.08213 0.04122 0.06966 0.00649 0.00797 0.00937 0.523967 10 1.15813±0.01181 0.11307 0.04664±0.00117 0.03234±0.00265 0.30673±0.05943 0.00815 0.02409 0.03210 0.03943 0.01733 0.062487 11 1.00622±0.00479 0.78628 0.26464±0.00662 0.23748±0.01708 0.10263±0.06834 0.00499 0.01609 0.03934 0.04833 0.02243 0.034347 12 0.95945±0.00422 0.06028 0.33478±0.00837 0.29756±0.00491 0.11117±0.02663 0.00481 0.01334 0.00238 0.00293 0.02222 0.007927 13 0.90535±0.00469 -0.63222 0.19276±0.00482 0.16095±0.01363 0.16503±0.07373 0.00567 0.01539 0.04343 0.05335 0.02087 0.003587 14 0.72533±0.00484 -0.26125 0.04008±0.00100 0.01806±0.00554 0.54948±0.13876 0.00437 0.02054 0.08630 0.10602 0.01126 0.001417 15 0.52182±0.00469 -0.00813 0.00821±0.00021 0.00060±0.00021 0.92747±0.02507 0.00090 0.01388 0.01312 0.01611 0.00181 0.010278 10 2.21787±0.33625 -0.00284 0.00543±0.00014 0.00144±0.00053 0.73567±0.09752 0.05315 0.08076 0.00691 0.00849 0.00661 0.899448 11 1.58078±0.02691 0.09528 0.03690±0.00092 0.02683±0.00266 0.27271±0.07435 0.01388 0.04550 0.03419 0.04200 0.01818 0.157308 12 1.13421±0.00636 0.37640 0.23830±0.00596 0.21555±0.00914 0.09548±0.04454 0.00606 0.01838 0.02092 0.02569 0.02261 0.036408 13 0.97974±0.00428 0.05820 0.36424±0.00911 0.32308±0.00546 0.11300±0.02676 0.00477 0.01380 0.00212 0.00260 0.02217 0.004498 14 0.90554±0.00405 -0.47300 0.29631±0.00741 0.24809±0.01069 0.16274±0.04172 0.00476 0.01261 0.02114 0.02596 0.02093 0.001498 15 0.82234±0.00486 -0.46528 0.09127±0.00228 0.05821±0.00995 0.36221±0.11014 0.00517 0.02046 0.06750 0.08292 0.01594 0.001808 16 0.64256±0.00537 -0.00671 0.00849±0.00021 0.00086±0.00020 0.89881±0.02398 0.00113 0.01710 0.01047 0.01286 0.00253 0.002319 11 3.12667±0.48483 0.00002 0.00613±0.00015 0.00065±0.00028 0.89413±0.04608 0.02026 0.04130 0.00004 0.00005 0.00265 0.823089 12 2.73525±0.32637 -0.00070 0.00745±0.00019 0.00086±0.00032 0.88401±0.04367 0.01774 0.03975 0.00124 0.00152 0.00290 0.731379 13 2.19583±0.20654 -0.00448 0.01091±0.00027 0.00189±0.00047 0.82648±0.04287 0.02192 0.03555 0.00544 0.00668 0.00434 0.804859 14 1.53382±0.01879 0.06565 0.09840±0.00246 0.07637±0.00314 0.22391±0.03733 0.01150 0.02626 0.00883 0.01085 0.01940 0.273209 15 1.06252±0.00494 -0.43409 0.36979±0.00924 0.31241±0.01058 0.15518±0.03556 0.00497 0.01369 0.01554 0.01909 0.02112 0.042369 16 0.94631±0.00392 -0.98764 0.33533±0.00838 0.24578±0.02117 0.26705±0.06572 0.00399 0.01233 0.03900 0.04791 0.01832 0.01348Table F.11: Pass 3 Target LH2, Energy 362, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.21696.192CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.50363±0.01734 0.02415 0.08092±0.00202 0.05948±0.00280 0.26494±0.03920 0.01689 0.02888 0.00395 0.00800 0.01838 0.229961 4 1.44115±0.01422 0.02364 0.07163±0.00179 0.05290±0.00253 0.26147±0.03988 0.01449 0.03069 0.00437 0.00885 0.01846 0.169951 5 1.13406±0.00755 0.15829 0.08657±0.00216 0.06640±0.00526 0.23302±0.06372 0.00865 0.02505 0.02421 0.04903 0.01917 0.071121 6 0.98174±0.00511 0.49230 0.18928±0.00473 0.17001±0.01552 0.10184±0.08500 0.00783 0.02468 0.03444 0.06974 0.02245 0.038001 7 0.88906±0.00421 -0.00483 0.19785±0.00495 0.17664±0.00514 0.10722±0.03424 0.00880 0.02441 0.00032 0.00065 0.02232 0.009341 8 0.67694±0.00465 -0.15379 0.07048±0.00176 0.06160±0.00531 0.12605±0.07846 0.01391 0.03504 0.02889 0.05851 0.02185 0.006711 9 0.52445±0.00813 -0.14134 0.00882±0.00022 0.00660±0.00435 0.25197±0.49300 0.04262 0.10603 0.21218 0.42967 0.01870 0.020482 4 1.38884±0.02046 0.02545 0.04800±0.00120 0.03615±0.00225 0.24701±0.05056 0.02152 0.03857 0.00702 0.01422 0.01882 0.198332 5 1.32212±0.01386 0.02275 0.05814±0.00145 0.04123±0.00229 0.29075±0.04322 0.01469 0.03465 0.00518 0.01049 0.01773 0.209382 6 1.16240±0.00886 0.16873 0.07723±0.00193 0.05902±0.00548 0.23574±0.07346 0.00936 0.02597 0.02893 0.05859 0.01911 0.118462 7 1.07575±0.00577 0.34946 0.19283±0.00482 0.17587±0.01199 0.08795±0.06622 0.00868 0.02919 0.02400 0.04860 0.02280 0.010382 8 0.94780±0.00526 0.00161 0.15340±0.00384 0.13612±0.00471 0.11265±0.03790 0.01023 0.02898 0.00014 0.00028 0.02218 0.001972 9 0.80029±0.00520 -0.34595 0.08444±0.00211 0.07067±0.01085 0.16306±0.13023 0.01432 0.03612 0.05425 0.10986 0.02092 0.000002 10 0.55866±0.00547 -0.09344 0.00653±0.00016 0.00309±0.00285 0.52698±0.43567 0.02073 0.07955 0.18936 0.38347 0.01183 0.019673 5 1.31591±0.01714 0.01643 0.04931±0.00123 0.03599±0.00203 0.27015±0.04498 0.01895 0.03510 0.00441 0.00893 0.01825 0.145543 6 1.38516±0.01239 0.00867 0.07212±0.00180 0.05154±0.00228 0.28538±0.03627 0.01307 0.02850 0.00159 0.00322 0.01787 0.110713 7 1.15902±0.00731 0.34723 0.11917±0.00298 0.09868±0.01086 0.17191±0.09349 0.00783 0.02564 0.03858 0.07813 0.02070 0.088253 8 1.04280±0.00561 0.27908 0.21602±0.00540 0.18827±0.01025 0.12847±0.05223 0.00872 0.02615 0.01711 0.03464 0.02179 0.016363 9 0.95892±0.00464 -0.09168 0.21494±0.00537 0.18994±0.00643 0.11630±0.03720 0.00917 0.02548 0.00565 0.01144 0.02209 0.000003 10 0.78813±0.00492 -0.48505 0.07490±0.00187 0.05935±0.01487 0.20757±0.19948 0.01479 0.04092 0.08575 0.17365 0.01981 0.003823 11 0.51758±0.00490 -0.04381 0.00538±0.00013 0.00101±0.00135 0.81197±0.25084 0.00936 0.05847 0.10791 0.21852 0.00470 0.003934 6 1.13718±0.01675 0.01125 0.03673±0.00092 0.02564±0.00159 0.30191±0.04665 0.02065 0.03689 0.00406 0.00822 0.01745 0.244554 7 1.22953±0.01016 0.05437 0.08495±0.00212 0.06189±0.00283 0.27140±0.03800 0.01159 0.02473 0.00848 0.01716 0.01821 0.165744 8 1.05355±0.00677 0.37614 0.12427±0.00311 0.10235±0.01182 0.17640±0.09729 0.00809 0.02798 0.04008 0.08116 0.02059 0.064174 9 0.98031±0.00441 0.44885 0.29525±0.00738 0.25599±0.01501 0.13299±0.05527 0.00716 0.02162 0.02013 0.04076 0.02168 0.016054 10 0.91065±0.00402 -0.03481 0.26167±0.00654 0.22144±0.00586 0.15373±0.03080 0.00784 0.02059 0.00176 0.00357 0.02116 0.010334 11 0.75586±0.00419 -0.53780 0.07673±0.00192 0.05010±0.01633 0.34712±0.21349 0.01170 0.03518 0.09281 0.18794 0.01632 0.004344 12 0.50223±0.00428 -0.01409 0.00534±0.00013 0.00041±0.00046 0.92377±0.08662 0.00295 0.03566 0.03492 0.07071 0.00191 0.000005 7 1.18270±0.01893 0.01623 0.02255±0.00056 0.01526±0.00122 0.32334±0.05660 0.02058 0.04506 0.00953 0.01931 0.01692 0.194335 8 1.24031±0.01120 0.04127 0.06150±0.00154 0.04444±0.00240 0.27728±0.04303 0.01249 0.03108 0.00889 0.01799 0.01807 0.083035 9 1.09713±0.00652 0.40423 0.13728±0.00343 0.11789±0.01276 0.14119±0.09543 0.00789 0.02879 0.03899 0.07896 0.02147 0.025255 10 1.00949±0.00476 0.25953 0.28698±0.00717 0.25401±0.01067 0.11489±0.04326 0.00806 0.02419 0.01198 0.02425 0.02213 0.015835 11 0.91927±0.00438 -0.31251 0.23356±0.00584 0.20270±0.01129 0.13213±0.05300 0.00942 0.02545 0.01772 0.03588 0.02170 0.004445 12 0.68438±0.00414 -0.33831 0.03494±0.00087 0.01774±0.01025 0.49231±0.29369 0.01207 0.04573 0.12822 0.25964 0.01269 0.001655 13 0.48490±0.00366 -0.00629 0.00436±0.00011 0.00022±0.00022 0.94848±0.05137 0.00156 0.02785 0.01909 0.03866 0.00129 0.000006 8 1.35958±0.03146 0.00385 0.01149±0.00029 0.00717±0.00085 0.37584±0.07570 0.02852 0.06763 0.00444 0.00899 0.01560 0.226546 9 1.17768±0.01040 0.04589 0.06584±0.00165 0.04571±0.00238 0.30572±0.04008 0.01172 0.02708 0.00923 0.01869 0.01736 0.127496 10 1.08283±0.00569 0.62096 0.20101±0.00503 0.17648±0.01925 0.12206±0.09825 0.00710 0.02422 0.04090 0.08283 0.02195 0.036446 11 1.00164±0.00410 0.20360 0.38245±0.00956 0.34362±0.01055 0.10151±0.03558 0.00734 0.02131 0.00705 0.01428 0.02246 0.010116 12 0.90827±0.00445 -0.48724 0.21318±0.00533 0.18079±0.01576 0.15192±0.07691 0.01008 0.02629 0.03026 0.06129 0.02120 0.002586 13 0.66818±0.00399 -0.31104 0.03325±0.00083 0.01535±0.00946 0.53817±0.28464 0.01103 0.04992 0.12388 0.25086 0.01155 0.000006 14 0.47793±0.00383 -0.01172 0.00635±0.00016 0.00070±0.00048 0.88902±0.07607 0.00285 0.05220 0.02444 0.04949 0.00277 0.005657 9 2.08338±0.17973 -0.00327 0.00510±0.00013 0.00242±0.00105 0.52635±0.20586 0.10129 0.17779 0.00849 0.01719 0.01184 0.506927 10 1.22078±0.01348 0.02370 0.04617±0.00115 0.03153±0.00246 0.31720±0.05605 0.01469 0.04898 0.00680 0.01377 0.01707 0.069357 11 1.06081±0.00526 0.72785 0.25615±0.00640 0.22945±0.02273 0.10426±0.09154 0.00711 0.02461 0.03763 0.07619 0.02239 0.032187 12 0.99451±0.00443 0.21789 0.33991±0.00850 0.30546±0.01049 0.10134±0.03817 0.00792 0.02285 0.00849 0.01719 0.02247 0.003457 13 0.89064±0.00453 -0.40386 0.19846±0.00496 0.17098±0.01346 0.13846±0.07116 0.01042 0.02807 0.02695 0.05457 0.02154 0.000007 14 0.65595±0.00416 -0.40382 0.03892±0.00097 0.02160±0.01225 0.44512±0.31511 0.01344 0.05136 0.13739 0.27822 0.01387 0.001777 15 0.45495±0.00344 -0.01571 0.00799±0.00020 0.00065±0.00054 0.91915±0.06733 0.00223 0.03264 0.02604 0.05274 0.00202 0.005608 10 1.71329±0.24181 0.00046 0.00440±0.00011 0.00118±0.00075 0.73123±0.17100 0.07528 0.15336 0.00138 0.00279 0.00672 0.880728 11 1.26778±0.02312 0.03265 0.02782±0.00070 0.01913±0.00250 0.31228±0.09141 0.02222 0.07959 0.01554 0.03147 0.01719 0.161718 12 1.01281±0.00586 0.56584 0.20940±0.00524 0.18091±0.01791 0.13607±0.08820 0.00815 0.02677 0.03578 0.07246 0.02160 0.040608 13 0.90901±0.00401 0.28739 0.34893±0.00872 0.29650±0.01162 0.15027±0.03950 0.00733 0.02118 0.01091 0.02209 0.02124 0.002198 14 0.80340±0.00358 -0.48778 0.28919±0.00723 0.23000±0.01609 0.20466±0.05908 0.00822 0.02197 0.02233 0.04523 0.01988 0.002048 15 0.73846±0.00412 -0.61274 0.09650±0.00241 0.06212±0.01867 0.35633±0.19411 0.01117 0.03518 0.08408 0.17026 0.01609 0.001368 16 0.51832±0.00397 -0.01104 0.00780±0.00020 0.00080±0.00040 0.89707±0.05189 0.00244 0.02983 0.01873 0.03793 0.00257 0.000009 11 2.41458±0.35775 -0.00197 0.00454±0.00011 0.00054±0.00052 0.88022±0.11400 0.05894 0.09668 0.00575 0.01164 0.00299 0.789069 12 2.44870±0.28481 -0.00495 0.00662±0.00017 0.00091±0.00080 0.86208±0.12139 0.06360 0.10088 0.00991 0.02007 0.00345 0.731209 13 2.18208±0.20247 -0.00595 0.01026±0.00026 0.00216±0.00101 0.78923±0.09832 0.05733 0.07780 0.00768 0.01556 0.00527 0.794589 14 1.34912±0.01726 0.00386 0.08396±0.00210 0.06565±0.00474 0.21803±0.05979 0.02068 0.05256 0.00061 0.00123 0.01955 0.309999 15 1.06722±0.00487 -0.14716 0.37103±0.00928 0.32292±0.00992 0.12967±0.03448 0.00853 0.02240 0.00525 0.01064 0.02176 0.060189 16 0.89653±0.00357 -0.84206 0.32991±0.00825 0.25446±0.02634 0.22871±0.08213 0.00768 0.02210 0.03380 0.06844 0.01928 0.01470Table F.12: Pass 3 Target LH2, Energy 362, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.88217.193CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.43065±0.01724 0.02371 0.07506±0.00188 0.05494±0.00170 0.26801±0.02908 0.01124 0.01839 0.00418 0.00536 0.01830 0.229961 4 1.56488±0.01711 0.02322 0.07343±0.00184 0.05567±0.00175 0.24185±0.03041 0.01056 0.02019 0.00419 0.00536 0.01895 0.169951 5 1.28337±0.00925 0.15543 0.08534±0.00213 0.06542±0.00372 0.23342±0.04761 0.00668 0.01786 0.02412 0.03089 0.01916 0.071121 6 1.06383±0.00574 0.48340 0.17536±0.00438 0.15915±0.01091 0.09242±0.06625 0.00590 0.01793 0.03650 0.04675 0.02269 0.038001 7 1.00094±0.00477 -0.00474 0.22220±0.00556 0.19910±0.00359 0.10398±0.02763 0.00552 0.01520 0.00028 0.00036 0.02240 0.009341 8 0.97876±0.00653 -0.15101 0.10642±0.00266 0.09627±0.00403 0.09539±0.04407 0.00804 0.02084 0.01879 0.02406 0.02262 0.006711 9 1.17789±0.01701 -0.13879 0.02323±0.00058 0.02279±0.00329 0.01906±0.14393 0.02102 0.05615 0.07910 0.10131 0.02452 0.020482 4 1.14142±0.01647 0.02499 0.03841±0.00096 0.02832±0.00120 0.26287±0.03635 0.01344 0.02460 0.00861 0.01103 0.01843 0.198332 5 1.45656±0.01666 0.02234 0.05883±0.00147 0.04384±0.00159 0.25474±0.03287 0.01083 0.02343 0.00503 0.00644 0.01863 0.209382 6 1.19093±0.00925 0.16568 0.06904±0.00173 0.05085±0.00382 0.26342±0.05825 0.00679 0.01849 0.03178 0.04070 0.01841 0.118462 7 1.10065±0.00620 0.34315 0.17297±0.00432 0.16153±0.00828 0.06617±0.05326 0.00646 0.02068 0.02627 0.03364 0.02335 0.010382 8 1.03468±0.00581 0.00158 0.16622±0.00416 0.14852±0.00320 0.10648±0.02949 0.00648 0.01813 0.00013 0.00016 0.02234 0.001972 9 0.96877±0.00617 -0.33970 0.11771±0.00294 0.10159±0.00771 0.13692±0.06898 0.00757 0.01948 0.03821 0.04894 0.02158 0.000002 10 0.96645±0.01032 -0.09175 0.01642±0.00041 0.00967±0.00206 0.41104±0.12618 0.00967 0.03401 0.07399 0.09476 0.01472 0.019673 5 0.74121±0.00959 0.01613 0.02782±0.00070 0.01969±0.00077 0.29235±0.03284 0.01167 0.02176 0.00768 0.00983 0.01769 0.145543 6 1.06745±0.00958 0.00851 0.05401±0.00135 0.03927±0.00110 0.27281±0.02728 0.00838 0.01821 0.00209 0.00267 0.01818 0.110713 7 0.87262±0.00568 0.34095 0.07743±0.00194 0.05979±0.00749 0.22777±0.09861 0.00582 0.01845 0.05831 0.07467 0.01931 0.088253 8 0.78885±0.00440 0.27404 0.15328±0.00383 0.13188±0.00653 0.13964±0.04773 0.00598 0.01731 0.02367 0.03032 0.02151 0.016363 9 0.77506±0.00378 -0.09003 0.18020±0.00451 0.15692±0.00351 0.12919±0.02920 0.00553 0.01525 0.00662 0.00847 0.02177 0.000003 10 0.71437±0.00425 -0.47628 0.08816±0.00220 0.07039±0.01041 0.20162±0.11974 0.00675 0.01957 0.07153 0.09161 0.01996 0.003823 11 0.60288±0.00495 -0.04302 0.00927±0.00023 0.00244±0.00095 0.73669±0.10304 0.00341 0.02452 0.06142 0.07866 0.00658 0.003934 6 0.96080±0.01587 0.01105 0.02943±0.00074 0.02115±0.00087 0.28144±0.03466 0.01516 0.02416 0.00497 0.00637 0.01796 0.244554 7 1.28101±0.01095 0.05339 0.08212±0.00205 0.06115±0.00190 0.25540±0.02967 0.00803 0.01655 0.00861 0.01102 0.01861 0.165744 8 1.16696±0.00760 0.36934 0.11091±0.00277 0.09236±0.00833 0.16730±0.07792 0.00632 0.02157 0.04409 0.05647 0.02082 0.064174 9 1.06150±0.00491 0.44074 0.28522±0.00713 0.25438±0.01051 0.10814±0.04307 0.00512 0.01505 0.02046 0.02620 0.02230 0.016054 10 1.00399±0.00439 -0.03418 0.28248±0.00706 0.24581±0.00401 0.12982±0.02598 0.00493 0.01306 0.00160 0.00205 0.02175 0.010334 11 0.90045±0.00482 -0.52808 0.11089±0.00277 0.08286±0.01155 0.25273±0.10585 0.00578 0.01801 0.06306 0.08076 0.01868 0.004344 12 0.67725±0.00521 -0.01383 0.00863±0.00022 0.00101±0.00034 0.88336±0.03929 0.00138 0.01850 0.02124 0.02720 0.00292 0.000005 7 0.84406±0.01582 0.01594 0.01553±0.00039 0.01023±0.00062 0.34119±0.04289 0.01550 0.02899 0.01359 0.01740 0.01647 0.194335 8 1.13647±0.00991 0.04052 0.05411±0.00135 0.03848±0.00146 0.28883±0.03226 0.00781 0.02010 0.00992 0.01270 0.01778 0.083035 9 1.12706±0.00699 0.39692 0.11772±0.00294 0.09930±0.00893 0.15650±0.07876 0.00612 0.02142 0.04465 0.05718 0.02109 0.025255 10 1.00765±0.00496 0.25484 0.27061±0.00677 0.24102±0.00713 0.10933±0.03449 0.00554 0.01590 0.01247 0.01597 0.02227 0.015835 11 0.59246±0.00296 -0.30686 0.25761±0.00644 0.13950±0.00708 0.45849±0.03063 0.00359 0.00924 0.01577 0.02020 0.01354 0.004445 12 0.81916±0.00516 -0.33219 0.05619±0.00140 0.03450±0.00725 0.38599±0.12999 0.00581 0.02114 0.07829 0.10026 0.01535 0.001655 13 0.61632±0.00439 -0.00617 0.00694±0.00017 0.00047±0.00016 0.93213±0.02367 0.00073 0.01381 0.01178 0.01508 0.00170 0.000006 8 1.01655±0.02737 0.00378 0.00813±0.00020 0.00517±0.00041 0.36320±0.05291 0.02179 0.04440 0.00616 0.00789 0.01592 0.226546 9 1.04915±0.00973 0.04506 0.05463±0.00137 0.03842±0.00145 0.29674±0.03190 0.00821 0.01805 0.01092 0.01399 0.01758 0.127496 10 1.10094±0.00595 0.60973 0.16998±0.00425 0.14670±0.01351 0.13698±0.08233 0.00544 0.01809 0.04750 0.06083 0.02158 0.036446 11 1.02189±0.00435 0.19992 0.37726±0.00943 0.34061±0.00697 0.09714±0.02917 0.00490 0.01368 0.00702 0.00899 0.02257 0.010116 12 0.95111±0.00464 -0.47844 0.24119±0.00603 0.21151±0.01101 0.12307±0.05063 0.00577 0.01511 0.02627 0.03364 0.02192 0.002586 13 0.80902±0.00512 -0.30542 0.05357±0.00134 0.03064±0.00670 0.42803±0.12580 0.00545 0.02329 0.07550 0.09669 0.01430 0.000006 14 0.65920±0.00574 -0.01151 0.01006±0.00025 0.00134±0.00038 0.86668±0.03761 0.00167 0.02821 0.01514 0.01939 0.00333 0.005657 9 2.42627±0.23252 -0.00321 0.00705±0.00018 0.00319±0.00078 0.54711±0.11108 0.05886 0.09301 0.00603 0.00772 0.01132 0.506927 10 0.99416±0.01053 0.02327 0.03494±0.00087 0.02455±0.00129 0.29744±0.04091 0.00942 0.03273 0.00882 0.01130 0.01756 0.069357 11 1.05292±0.00541 0.71469 0.21925±0.00548 0.19105±0.01590 0.12864±0.07573 0.00530 0.01772 0.04316 0.05528 0.02178 0.032187 12 1.02338±0.00463 0.21395 0.34404±0.00860 0.30365±0.00699 0.11739±0.03000 0.00508 0.01443 0.00823 0.01055 0.02207 0.003457 13 0.95341±0.00484 -0.39656 0.23095±0.00577 0.20147±0.00940 0.12766±0.04618 0.00594 0.01603 0.02274 0.02912 0.02181 0.000007 14 0.81324±0.00524 -0.39652 0.06603±0.00165 0.04250±0.00868 0.35641±0.13241 0.00620 0.02331 0.07952 0.10183 0.01609 0.001777 15 0.63262±0.00468 -0.01542 0.01326±0.00033 0.00137±0.00040 0.89639±0.03038 0.00114 0.01698 0.01540 0.01973 0.00259 0.005608 10 1.88233±0.25669 0.00045 0.00469±0.00012 0.00126±0.00051 0.73161±0.10893 0.04658 0.09822 0.00127 0.00163 0.00671 0.880728 11 1.01256±0.01912 0.03206 0.01968±0.00049 0.01370±0.00134 0.30377±0.07006 0.01614 0.05582 0.02158 0.02763 0.01741 0.161718 12 1.02198±0.00615 0.55561 0.17715±0.00443 0.15486±0.01251 0.12580±0.07392 0.00628 0.01983 0.04153 0.05319 0.02186 0.040608 13 0.99638±0.00454 0.28220 0.35043±0.00876 0.31128±0.00809 0.11173±0.03203 0.00513 0.01435 0.01066 0.01366 0.02221 0.002198 14 0.62452±0.00290 -0.47896 0.34529±0.00863 0.19338±0.01082 0.43996±0.03432 0.00347 0.00888 0.01837 0.02352 0.01400 0.002048 15 0.92621±0.00489 -0.60167 0.14194±0.00355 0.10508±0.01324 0.25970±0.09507 0.00560 0.01863 0.05613 0.07188 0.01851 0.001368 16 0.78712±0.00568 -0.01084 0.01298±0.00032 0.00164±0.00032 0.87396±0.02491 0.00130 0.01692 0.01106 0.01416 0.00315 0.000009 11 2.37308±0.34219 -0.00194 0.00517±0.00013 0.00076±0.00031 0.85326±0.06091 0.03075 0.05183 0.00496 0.00635 0.00367 0.789069 12 2.23161±0.23759 -0.00486 0.00651±0.00016 0.00136±0.00045 0.79112±0.06905 0.03346 0.05799 0.00988 0.01266 0.00522 0.731209 13 1.93167±0.17466 -0.00585 0.01052±0.00026 0.00247±0.00055 0.76566±0.05305 0.02995 0.04172 0.00736 0.00942 0.00586 0.794589 14 1.07616±0.01429 0.00379 0.06642±0.00166 0.05217±0.00236 0.21459±0.04063 0.01344 0.03291 0.00076 0.00097 0.01964 0.309999 15 0.91626±0.00414 -0.14450 0.33484±0.00837 0.28370±0.00567 0.15273±0.02711 0.00499 0.01324 0.00571 0.00732 0.02118 0.060189 16 0.85218±0.00330 -0.82683 0.35484±0.00887 0.27622±0.01836 0.22155±0.05528 0.00409 0.01213 0.03085 0.03952 0.01946 0.01470Table F.13: Pass 3 Target LH2, Energy 362, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.26362.194CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.54004±0.01777 0.02415 0.08265±0.00207 0.06092±0.00287 0.26286±0.03926 0.01694 0.02896 0.00387 0.00784 0.01843 0.229961 4 1.46893±0.01449 0.02364 0.07268±0.00182 0.05392±0.00258 0.25810±0.04001 0.01455 0.03083 0.00431 0.00872 0.01855 0.169951 5 1.19401±0.00795 0.15829 0.09114±0.00228 0.06991±0.00531 0.23299±0.06138 0.00865 0.02505 0.02300 0.04657 0.01918 0.071121 6 0.99975±0.00520 0.49230 0.19126±0.00478 0.17313±0.01555 0.09482±0.08437 0.00789 0.02488 0.03408 0.06902 0.02263 0.038001 7 0.88974±0.00421 -0.00483 0.19966±0.00499 0.17677±0.00514 0.11463±0.03395 0.00872 0.02421 0.00032 0.00065 0.02213 0.009341 8 0.70889±0.00486 -0.15379 0.07378±0.00184 0.06451±0.00538 0.12567±0.07606 0.01390 0.03505 0.02760 0.05589 0.02186 0.006711 9 0.61586±0.00953 -0.14134 0.01037±0.00026 0.00775±0.00439 0.25294±0.42363 0.04246 0.10590 0.18045 0.36543 0.01868 0.020482 4 1.36607±0.02013 0.02545 0.04692±0.00117 0.03555±0.00222 0.24230±0.05096 0.02166 0.03881 0.00718 0.01454 0.01894 0.198332 5 1.35777±0.01424 0.02275 0.05934±0.00148 0.04235±0.00235 0.28637±0.04341 0.01478 0.03487 0.00508 0.01028 0.01784 0.209382 6 1.15102±0.00877 0.16873 0.07589±0.00190 0.05844±0.00547 0.22992±0.07460 0.00943 0.02617 0.02944 0.05962 0.01925 0.118462 7 1.05932±0.00568 0.34946 0.18862±0.00472 0.17318±0.01194 0.08185±0.06736 0.00874 0.02939 0.02453 0.04968 0.02295 0.010382 8 0.94894±0.00527 0.00161 0.15378±0.00384 0.13629±0.00472 0.11375±0.03785 0.01022 0.02894 0.00014 0.00028 0.02216 0.001972 9 0.81551±0.00529 -0.34595 0.08634±0.00216 0.07201±0.01087 0.16596±0.12764 0.01425 0.03600 0.05305 0.10744 0.02085 0.000002 10 0.58765±0.00576 -0.09344 0.00717±0.00018 0.00325±0.00285 0.54678±0.39761 0.01988 0.07622 0.17249 0.34930 0.01133 0.019673 5 1.27274±0.01658 0.01643 0.04747±0.00119 0.03481±0.00196 0.26674±0.04527 0.01904 0.03527 0.00458 0.00928 0.01833 0.145543 6 1.37912±0.01233 0.00867 0.07156±0.00179 0.05131±0.00227 0.28289±0.03640 0.01312 0.02860 0.00160 0.00325 0.01793 0.110713 7 1.13266±0.00714 0.34723 0.11534±0.00288 0.09644±0.01084 0.16386±0.09631 0.00791 0.02589 0.03986 0.08072 0.02090 0.088253 8 1.03322±0.00556 0.27908 0.21226±0.00531 0.18654±0.01022 0.12117±0.05293 0.00879 0.02637 0.01741 0.03526 0.02197 0.016363 9 0.95964±0.00464 -0.09168 0.21523±0.00538 0.19008±0.00644 0.11684±0.03718 0.00916 0.02546 0.00564 0.01142 0.02208 0.000003 10 0.80734±0.00502 -0.48505 0.07933±0.00198 0.06080±0.01488 0.23361±0.18860 0.01425 0.03958 0.08096 0.16395 0.01916 0.003823 11 0.53859±0.00509 -0.04381 0.00592±0.00015 0.00105±0.00135 0.82232±0.22831 0.00884 0.05525 0.09799 0.19843 0.00444 0.003934 6 1.18837±0.01750 0.01125 0.03731±0.00093 0.02680±0.00166 0.28175±0.04791 0.02124 0.03796 0.00399 0.00809 0.01796 0.244554 7 1.28500±0.01061 0.05437 0.08667±0.00217 0.06468±0.00292 0.25365±0.03850 0.01186 0.02533 0.00831 0.01682 0.01866 0.165744 8 1.10353±0.00709 0.37614 0.12574±0.00314 0.10721±0.01187 0.14737±0.09679 0.00837 0.02897 0.03961 0.08022 0.02132 0.064174 9 1.02024±0.00459 0.44885 0.29436±0.00736 0.26641±0.01514 0.09494±0.05618 0.00747 0.02257 0.02019 0.04089 0.02263 0.016054 10 0.94739±0.00418 -0.03481 0.26175±0.00654 0.23037±0.00609 0.11987±0.03202 0.00815 0.02142 0.00176 0.00357 0.02200 0.010334 11 0.76930±0.00426 -0.53780 0.07554±0.00189 0.05099±0.01634 0.32506±0.21698 0.01208 0.03637 0.09427 0.19090 0.01687 0.004344 12 0.51190±0.00435 -0.01409 0.00538±0.00013 0.00042±0.00046 0.92277±0.08638 0.00298 0.03613 0.03471 0.07028 0.00193 0.000005 7 1.14233±0.01828 0.01623 0.02169±0.00054 0.01474±0.00118 0.32042±0.05714 0.02067 0.04526 0.00991 0.02007 0.01699 0.194335 8 1.22562±0.01106 0.04127 0.06039±0.00151 0.04392±0.00238 0.27278±0.04341 0.01257 0.03127 0.00905 0.01832 0.01818 0.083035 9 1.09188±0.00649 0.40423 0.13525±0.00338 0.11733±0.01276 0.13248±0.09679 0.00797 0.02908 0.03958 0.08014 0.02169 0.025255 10 1.00063±0.00471 0.25953 0.28204±0.00705 0.25178±0.01062 0.10730±0.04378 0.00813 0.02440 0.01218 0.02468 0.02232 0.015835 11 0.89934±0.00428 -0.31251 0.22747±0.00569 0.19830±0.01122 0.12823±0.05391 0.00947 0.02557 0.01819 0.03684 0.02179 0.004445 12 0.68290±0.00412 -0.33831 0.03589±0.00090 0.01770±0.01025 0.50684±0.28588 0.01169 0.04442 0.12482 0.25276 0.01233 0.001655 13 0.48765±0.00368 -0.00629 0.00438±0.00011 0.00023±0.00022 0.94846±0.05119 0.00156 0.02786 0.01899 0.03846 0.00129 0.000006 8 1.35480±0.03134 0.00385 0.01148±0.00029 0.00715±0.00085 0.37735±0.07552 0.02845 0.06746 0.00444 0.00900 0.01557 0.226546 9 1.17713±0.01039 0.04589 0.06548±0.00164 0.04569±0.00238 0.30222±0.04028 0.01177 0.02721 0.00928 0.01879 0.01744 0.127496 10 1.08661±0.00571 0.62096 0.20200±0.00505 0.17709±0.01926 0.12332±0.09781 0.00709 0.02419 0.04070 0.08243 0.02192 0.036446 11 0.98964±0.00405 0.20360 0.37727±0.00943 0.33950±0.01047 0.10011±0.03572 0.00735 0.02134 0.00715 0.01447 0.02250 0.010116 12 0.89157±0.00437 -0.48724 0.20990±0.00525 0.17747±0.01572 0.15452±0.07781 0.01006 0.02621 0.03074 0.06224 0.02114 0.002586 13 0.65970±0.00394 -0.31104 0.03336±0.00083 0.01516±0.00945 0.54559±0.28354 0.01085 0.04911 0.12345 0.24999 0.01136 0.000006 14 0.47951±0.00385 -0.01172 0.00638±0.00016 0.00071±0.00048 0.88921±0.07582 0.00285 0.05211 0.02432 0.04925 0.00277 0.005657 9 2.07212±0.17876 -0.00327 0.00513±0.00013 0.00240±0.00104 0.53137±0.20368 0.10022 0.17590 0.00845 0.01711 0.01172 0.506927 10 1.20154±0.01326 0.02370 0.04509±0.00113 0.03103±0.00243 0.31175±0.05656 0.01480 0.04937 0.00696 0.01410 0.01721 0.069357 11 1.07476±0.00533 0.72785 0.25837±0.00646 0.23246±0.02276 0.10026±0.09092 0.00715 0.02472 0.03730 0.07554 0.02249 0.032187 12 0.99234±0.00442 0.21789 0.33729±0.00843 0.30479±0.01048 0.09634±0.03841 0.00796 0.02298 0.00855 0.01732 0.02259 0.003457 13 0.90167±0.00459 -0.40386 0.20061±0.00502 0.17310±0.01349 0.13715±0.07063 0.01044 0.02811 0.02666 0.05398 0.02157 0.000007 14 0.68864±0.00436 -0.40382 0.04233±0.00106 0.02267±0.01227 0.46434±0.29020 0.01296 0.04958 0.12633 0.25583 0.01339 0.001777 15 0.45919±0.00348 -0.01571 0.00809±0.00020 0.00065±0.00054 0.91943±0.06663 0.00223 0.03252 0.02571 0.05207 0.00201 0.005608 10 1.91989±0.27123 0.00046 0.00470±0.00012 0.00133±0.00084 0.71797±0.17946 0.07906 0.16092 0.00129 0.00262 0.00705 0.880728 11 1.40715±0.02563 0.03265 0.02934±0.00073 0.02124±0.00273 0.27614±0.09487 0.02336 0.08378 0.01474 0.02984 0.01810 0.161718 12 1.09818±0.00636 0.56584 0.21305±0.00533 0.19616±0.01807 0.07929±0.08791 0.00868 0.02853 0.03517 0.07122 0.02302 0.040608 13 1.00450±0.00443 0.28739 0.35840±0.00896 0.32764±0.01219 0.08582±0.04097 0.00788 0.02278 0.01062 0.02150 0.02285 0.002198 14 0.91309±0.00406 -0.48778 0.30447±0.00761 0.26140±0.01650 0.14145±0.05828 0.00886 0.02371 0.02121 0.04296 0.02146 0.002048 15 0.78009±0.00434 -0.61274 0.09437±0.00236 0.06562±0.01871 0.30466±0.19900 0.01205 0.03800 0.08598 0.17411 0.01738 0.001368 16 0.49645±0.00380 -0.01104 0.00697±0.00017 0.00077±0.00040 0.88956±0.05732 0.00261 0.03201 0.02098 0.04249 0.00276 0.000009 11 2.32270±0.34420 -0.00197 0.00437±0.00011 0.00052±0.00050 0.88026±0.11404 0.05893 0.09665 0.00598 0.01210 0.00299 0.789069 12 2.41196±0.28057 -0.00495 0.00658±0.00016 0.00090±0.00079 0.86350±0.12021 0.06296 0.09985 0.00996 0.02017 0.00341 0.731209 13 2.15894±0.20015 -0.00595 0.01032±0.00026 0.00214±0.00100 0.79257±0.09677 0.05637 0.07656 0.00764 0.01548 0.00519 0.794589 14 1.54532±0.01975 0.00386 0.09647±0.00241 0.07520±0.00543 0.22050±0.05959 0.02060 0.05239 0.00053 0.00107 0.01949 0.309999 15 1.08077±0.00493 -0.14716 0.37748±0.00944 0.32702±0.01003 0.13367±0.03427 0.00849 0.02230 0.00516 0.01045 0.02166 0.060189 16 0.88119±0.00351 -0.84206 0.32522±0.00813 0.25011±0.02630 0.23096±0.08312 0.00767 0.02204 0.03428 0.06943 0.01923 0.01470Table F.14: Pass 3 Target LH2, Energy 362, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.88217.195CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.45172±0.01689 0.03839 0.07867±0.00197 0.05839±0.00187 0.25785±0.03014 0.00990 0.01921 0.00646 0.00746 0.01855 0.225181 4 1.38016±0.01325 0.02330 0.07009±0.00175 0.05133±0.00137 0.26772±0.02679 0.00809 0.01650 0.00440 0.00508 0.01831 0.162161 5 1.07803±0.00695 0.30718 0.08774±0.00219 0.06848±0.00638 0.21954±0.07534 0.00551 0.01590 0.04636 0.05350 0.01951 0.098481 6 0.92507±0.00471 0.42171 0.18402±0.00460 0.16883±0.00907 0.08259±0.05438 0.00527 0.01599 0.03034 0.03502 0.02294 0.032791 7 0.88186±0.00415 0.06868 0.19939±0.00498 0.17587±0.00316 0.11796±0.02714 0.00480 0.01338 0.00456 0.00526 0.02205 0.011061 8 0.78508±0.00549 -0.30540 0.07802±0.00195 0.06758±0.00637 0.13372±0.08442 0.00731 0.01843 0.05183 0.05982 0.02166 0.000001 9 0.86586±0.01363 -0.09894 0.01379±0.00034 0.00879±0.00207 0.36208±0.15135 0.01294 0.03770 0.09504 0.10969 0.01595 0.000002 4 1.28995±0.01911 0.00183 0.04431±0.00111 0.03390±0.00120 0.23497±0.03311 0.01313 0.02361 0.00055 0.00063 0.01913 0.189942 5 1.28324±0.01246 0.04825 0.05719±0.00143 0.04100±0.00145 0.28307±0.03099 0.00793 0.01688 0.01117 0.01289 0.01792 0.091132 6 1.04748±0.00752 0.30360 0.07344±0.00184 0.05845±0.00632 0.20415±0.08837 0.00621 0.01968 0.05474 0.06317 0.01990 0.042902 7 0.99329±0.00513 0.24632 0.18445±0.00461 0.16836±0.00589 0.08719±0.03924 0.00537 0.01615 0.01768 0.02041 0.02282 0.025102 8 0.92881±0.00515 -0.04176 0.15026±0.00376 0.13296±0.00267 0.11509±0.02837 0.00570 0.01585 0.00368 0.00425 0.02212 0.000342 9 0.84702±0.00563 -0.38609 0.08630±0.00216 0.06837±0.00798 0.20780±0.09460 0.00644 0.01824 0.05924 0.06837 0.01981 0.004022 10 0.71641±0.00761 -0.04540 0.00872±0.00022 0.00298±0.00098 0.65816±0.11320 0.00474 0.04033 0.06896 0.07959 0.00855 0.000003 5 1.18460±0.01575 0.00655 0.04450±0.00111 0.03267±0.00103 0.26586±0.02950 0.01128 0.01993 0.00195 0.00225 0.01835 0.192103 6 1.27398±0.01100 0.04963 0.06777±0.00169 0.04823±0.00159 0.28837±0.02947 0.00701 0.01684 0.00970 0.01119 0.01779 0.079083 7 1.03590±0.00631 0.49983 0.11300±0.00283 0.09742±0.01037 0.13787±0.09424 0.00572 0.01961 0.05857 0.06760 0.02155 0.027893 8 0.95452±0.00500 0.40422 0.20300±0.00507 0.17919±0.00879 0.11729±0.04862 0.00522 0.01511 0.02637 0.03043 0.02207 0.011393 9 0.92810±0.00447 -0.11378 0.20775±0.00519 0.18185±0.00373 0.12470±0.02832 0.00492 0.01327 0.00725 0.00837 0.02188 0.005143 10 0.84566±0.00537 -0.42863 0.07962±0.00199 0.05578±0.00879 0.29937±0.11178 0.00554 0.01750 0.07128 0.08227 0.01752 0.001193 11 0.68851±0.00730 -0.01224 0.00718±0.00018 0.00097±0.00033 0.86450±0.04676 0.00183 0.03138 0.02256 0.02604 0.00339 0.007814 6 1.10565±0.01605 0.00193 0.03479±0.00087 0.02507±0.00085 0.27935±0.03044 0.01211 0.02131 0.00073 0.00085 0.01802 0.220974 7 1.18641±0.00947 0.04715 0.08232±0.00206 0.06095±0.00191 0.25961±0.02969 0.00678 0.01894 0.00758 0.00875 0.01851 0.101334 8 1.00613±0.00622 0.56240 0.12269±0.00307 0.10769±0.01166 0.12227±0.09753 0.00591 0.02012 0.06070 0.07005 0.02194 0.013194 9 0.97127±0.00428 0.25683 0.28965±0.00724 0.26047±0.00651 0.10075±0.03180 0.00454 0.01280 0.01174 0.01355 0.02248 0.014144 10 0.95189±0.00430 -0.26957 0.26024±0.00651 0.22822±0.00651 0.12305±0.03327 0.00465 0.01288 0.01372 0.01583 0.02192 0.000604 11 0.86727±0.00499 -0.42725 0.08257±0.00206 0.04897±0.00875 0.40687±0.10704 0.00430 0.01646 0.06852 0.07908 0.01483 0.002774 12 0.65274±0.00669 -0.00210 0.00599±0.00015 0.00043±0.00013 0.92828±0.02129 0.00088 0.01998 0.00465 0.00536 0.00179 0.015395 7 1.17623±0.01800 0.01189 0.02271±0.00057 0.01551±0.00071 0.31698±0.03550 0.01199 0.02670 0.00693 0.00800 0.01708 0.089075 8 1.17259±0.01037 0.06351 0.05944±0.00149 0.04331±0.00175 0.27123±0.03457 0.00733 0.01852 0.01415 0.01633 0.01822 0.079005 9 1.03378±0.00598 0.61341 0.13900±0.00348 0.12218±0.01269 0.12106±0.09393 0.00554 0.01865 0.05843 0.06744 0.02197 0.055135 10 0.96057±0.00441 0.29604 0.27879±0.00697 0.24723±0.00717 0.11318±0.03394 0.00466 0.01333 0.01406 0.01623 0.02217 0.006215 11 0.92048±0.00443 -0.49785 0.22860±0.00571 0.19508±0.01057 0.14662±0.05094 0.00489 0.01327 0.02884 0.03328 0.02133 0.002155 12 0.73489±0.00464 -0.20134 0.03640±0.00091 0.01508±0.00413 0.58573±0.11393 0.00337 0.01880 0.07324 0.08452 0.01036 0.000005 13 0.52597±0.00499 -0.00167 0.00494±0.00012 0.00020±0.00006 0.95882±0.01220 0.00048 0.01006 0.00446 0.00515 0.00103 0.011706 8 1.39905±0.02947 0.00754 0.01185±0.00030 0.00755±0.00054 0.36314±0.04797 0.01530 0.04060 0.00842 0.00972 0.01592 0.046786 9 1.11604±0.00933 0.11523 0.06461±0.00162 0.04526±0.00263 0.29946±0.04432 0.00657 0.01772 0.02362 0.02726 0.01751 0.076276 10 1.01492±0.00521 0.75022 0.20009±0.00500 0.17990±0.01554 0.10090±0.08086 0.00509 0.01607 0.04965 0.05730 0.02248 0.031406 11 0.96386±0.00390 0.14164 0.37554±0.00939 0.33402±0.00558 0.11056±0.02675 0.00416 0.01207 0.00499 0.00576 0.02224 0.006746 12 0.91714±0.00457 -0.65447 0.20737±0.00518 0.17159±0.01357 0.17254±0.06865 0.00497 0.01370 0.04179 0.04823 0.02069 0.000006 13 0.60065±0.00387 -0.17765 0.03489±0.00087 0.01087±0.00364 0.68834±0.10453 0.00259 0.01612 0.06742 0.07781 0.00779 0.000006 14 0.54464±0.00445 -0.00753 0.00674±0.00017 0.00070±0.00022 0.89653±0.03233 0.00105 0.02298 0.01478 0.01706 0.00259 0.000007 9 2.56279±0.21732 -0.00355 0.00741±0.00019 0.00279±0.00056 0.62371±0.07621 0.03837 0.06444 0.00635 0.00732 0.00941 0.523967 10 1.15386±0.01193 0.11285 0.04539±0.00113 0.03154±0.00254 0.30500±0.05855 0.00794 0.02313 0.03292 0.03800 0.01737 0.062487 11 0.98636±0.00476 0.78475 0.25241±0.00631 0.22878±0.01639 0.09362±0.06878 0.00487 0.01551 0.04117 0.04751 0.02266 0.034347 12 0.93813±0.00413 0.06016 0.32521±0.00813 0.29066±0.00452 0.10626±0.02632 0.00455 0.01259 0.00245 0.00283 0.02234 0.007927 13 0.74145±0.00397 -0.63098 0.19289±0.00482 0.13424±0.01299 0.30407±0.06955 0.00449 0.01181 0.04331 0.04999 0.01740 0.003587 14 0.73613±0.00480 -0.26074 0.04295±0.00107 0.01932±0.00533 0.55013±0.12467 0.00379 0.01824 0.08039 0.09278 0.01125 0.001417 15 0.52837±0.00463 -0.00811 0.00824±0.00021 0.00062±0.00020 0.92412±0.02395 0.00083 0.01314 0.01304 0.01506 0.00190 0.010278 10 2.18542±0.32876 -0.00283 0.00535±0.00013 0.00145±0.00049 0.72939±0.09142 0.04950 0.07581 0.00701 0.00809 0.00677 0.899448 11 1.45538±0.02515 0.09510 0.03309±0.00083 0.02399±0.00245 0.27505±0.07621 0.01356 0.04380 0.03805 0.04392 0.01812 0.157308 12 1.08043±0.00612 0.37567 0.22211±0.00555 0.20322±0.00864 0.08501±0.04514 0.00587 0.01762 0.02240 0.02585 0.02287 0.036408 13 0.81277±0.00370 0.05808 0.35871±0.00897 0.26778±0.00432 0.25351±0.02221 0.00394 0.01090 0.00214 0.00247 0.01866 0.004498 14 0.85093±0.00379 -0.47207 0.30231±0.00756 0.23521±0.01017 0.22196±0.03887 0.00409 0.01089 0.02068 0.02386 0.01945 0.001498 15 0.87295±0.00507 -0.46437 0.10128±0.00253 0.06390±0.00958 0.36913±0.09593 0.00456 0.01836 0.06071 0.07007 0.01577 0.001808 16 0.69538±0.00569 -0.00670 0.00910±0.00023 0.00095±0.00020 0.89520±0.02217 0.00105 0.01619 0.00974 0.01125 0.00262 0.002319 11 3.84852±0.59735 0.00002 0.00804±0.00020 0.00080±0.00033 0.90072±0.04055 0.01784 0.03633 0.00003 0.00003 0.00248 0.823089 12 2.70449±0.32316 -0.00070 0.00819±0.00020 0.00086±0.00030 0.89448±0.03685 0.01498 0.03353 0.00112 0.00130 0.00264 0.731379 13 1.75793±0.17097 -0.00447 0.01153±0.00029 0.00156±0.00036 0.86502±0.03115 0.01610 0.02526 0.00514 0.00593 0.00337 0.804859 14 1.30818±0.01610 0.06552 0.08415±0.00210 0.06469±0.00262 0.23123±0.03656 0.01080 0.02456 0.01031 0.01190 0.01922 0.273209 15 0.99489±0.00461 -0.43325 0.35079±0.00877 0.29475±0.00995 0.15975±0.03530 0.00459 0.01267 0.01635 0.01887 0.02101 0.042369 16 0.93436±0.00383 -0.98571 0.34200±0.00855 0.24745±0.02033 0.27647±0.06214 0.00358 0.01119 0.03816 0.04405 0.01809 0.01348Table F.15: Pass 3 Target LH2, Energy 362, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.14948.196CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 1.46779±0.01581 0.03932 0.08359±0.00209 0.06262±0.00345 0.25090±0.04531 0.01659 0.03478 0.00623 0.01336 0.01873 0.225181 4 1.27287±0.01162 0.02385 0.06957±0.00174 0.04922±0.00236 0.29249±0.03826 0.01360 0.02916 0.00454 0.00974 0.01769 0.162161 5 1.03000±0.00617 0.31455 0.10763±0.00269 0.08554±0.01021 0.20525±0.09691 0.00759 0.02356 0.03870 0.08298 0.01987 0.098481 6 0.87903±0.00437 0.43183 0.20545±0.00514 0.18399±0.01464 0.10448±0.07468 0.00833 0.02589 0.02783 0.05968 0.02239 0.032791 7 0.71077±0.00343 0.07033 0.15986±0.00400 0.14485±0.00488 0.09391±0.03802 0.00940 0.02558 0.00583 0.01249 0.02265 0.011061 8 0.45102±0.00340 -0.31273 0.03997±0.00100 0.03007±0.00995 0.24767±0.24952 0.01683 0.03931 0.10359 0.22214 0.01881 0.000001 9 0.58557±0.01219 -0.10132 0.00392±0.00010 0.00226±0.00326 0.42262±0.83073 0.07738 0.17047 0.34202 0.73340 0.01443 0.000002 4 1.49344±0.01903 0.00187 0.05285±0.00132 0.03942±0.00255 0.25417±0.05180 0.02085 0.04359 0.00047 0.00100 0.01865 0.189942 5 1.30597±0.01296 0.04940 0.06046±0.00151 0.04573±0.00259 0.24363±0.04679 0.01484 0.03092 0.01082 0.02320 0.01891 0.091132 6 1.08513±0.00715 0.31088 0.09577±0.00239 0.08149±0.01018 0.14913±0.10841 0.00862 0.02974 0.04298 0.09217 0.02127 0.042902 7 0.97295±0.00498 0.25223 0.20153±0.00504 0.18015±0.00983 0.10610±0.05365 0.00909 0.02754 0.01657 0.03554 0.02235 0.025102 8 0.86354±0.00490 -0.04276 0.13853±0.00346 0.12133±0.00468 0.12418±0.04028 0.01121 0.03040 0.00409 0.00876 0.02190 0.000342 9 0.67853±0.00468 -0.39536 0.05674±0.00142 0.03812±0.01265 0.32814±0.22354 0.01550 0.04229 0.09227 0.19786 0.01680 0.004022 10 0.45599±0.00613 -0.04649 0.00342±0.00009 0.00058±0.00152 0.83024±0.44390 0.01850 0.12442 0.17992 0.38579 0.00424 0.000003 5 1.46545±0.01664 0.00671 0.05861±0.00147 0.04102±0.00233 0.30015±0.04340 0.01722 0.03561 0.00152 0.00325 0.01750 0.192103 6 1.28250±0.01028 0.05082 0.07294±0.00182 0.05260±0.00283 0.27889±0.04282 0.01159 0.02997 0.00923 0.01978 0.01803 0.079083 7 1.06218±0.00595 0.51183 0.14804±0.00370 0.13364±0.01665 0.09729±0.11470 0.00783 0.02920 0.04578 0.09816 0.02257 0.027893 8 0.96729±0.00502 0.41392 0.22069±0.00552 0.20644±0.01440 0.06457±0.06930 0.00918 0.02679 0.02484 0.05325 0.02339 0.011393 9 0.90421±0.00454 -0.11651 0.19381±0.00485 0.17063±0.00658 0.11961±0.04048 0.01019 0.02637 0.00796 0.01707 0.02201 0.005143 10 0.75214±0.00505 -0.43891 0.04881±0.00122 0.02912±0.01397 0.40328±0.28670 0.01616 0.04831 0.11908 0.25534 0.01492 0.001193 11 0.51037±0.00431 -0.01253 0.00351±0.00009 0.00032±0.00051 0.90754±0.14407 0.00421 0.09060 0.04730 0.10143 0.00231 0.007814 6 1.64888±0.02365 0.00197 0.05359±0.00134 0.03759±0.00241 0.29861±0.04832 0.02205 0.03924 0.00049 0.00105 0.01753 0.220974 7 1.21902±0.00893 0.04829 0.09097±0.00227 0.06628±0.00355 0.27138±0.04303 0.01100 0.03350 0.00703 0.01507 0.01822 0.101334 8 1.05414±0.00607 0.57590 0.16468±0.00412 0.15051±0.01875 0.08601±0.11613 0.00818 0.02988 0.04631 0.09930 0.02285 0.013194 9 0.99314±0.00431 0.26299 0.31206±0.00780 0.28254±0.01124 0.09459±0.04253 0.00809 0.02311 0.01116 0.02393 0.02264 0.014144 10 0.91748±0.00426 -0.27604 0.23224±0.00581 0.20425±0.01085 0.12053±0.05164 0.00981 0.02646 0.01574 0.03375 0.02199 0.000604 11 0.69457±0.00395 -0.43751 0.04487±0.00112 0.02036±0.01387 0.54628±0.30937 0.01191 0.04614 0.12911 0.27684 0.01134 0.002774 12 0.50693±0.00461 -0.00215 0.00372±0.00009 0.00027±0.00019 0.92853±0.05092 0.00186 0.04752 0.00766 0.01643 0.00179 0.015395 7 1.30479±0.03154 0.01217 0.03667±0.00092 0.01819±0.00161 0.50396±0.04573 0.02475 0.03489 0.00440 0.00943 0.01240 0.089075 8 0.69256±0.00732 0.06503 0.06693±0.00167 0.02838±0.00245 0.57598±0.03817 0.00873 0.01848 0.01287 0.02759 0.01060 0.079005 9 0.62075±0.00460 0.62813 0.17547±0.00439 0.09756±0.01993 0.44397±0.11444 0.00643 0.01688 0.04740 0.10164 0.01390 0.055135 10 0.60111±0.00399 0.30315 0.28072±0.00702 0.16603±0.01071 0.40857±0.04093 0.00796 0.01576 0.01430 0.03066 0.01479 0.006215 11 0.53112±0.00407 -0.50980 0.18315±0.00458 0.09576±0.01643 0.47717±0.09066 0.01066 0.01818 0.03686 0.07903 0.01307 0.002155 12 0.26881±0.00275 -0.20618 0.01767±0.00044 0.00208±0.00648 0.88247±0.36671 0.00783 0.02695 0.15453 0.33136 0.00294 0.000005 13 0.22855±0.00178 -0.00170 0.00305±0.00008 0.00006±0.00007 0.97893±0.02212 0.00052 0.01348 0.00740 0.01588 0.00053 0.011706 8 2.45474±0.05225 0.00772 0.02140±0.00053 0.01442±0.00174 0.32591±0.08287 0.02859 0.07508 0.00478 0.01025 0.01685 0.046786 9 1.29238±0.00973 0.11800 0.08451±0.00211 0.06188±0.00455 0.26776±0.05691 0.00996 0.02985 0.01849 0.03965 0.01831 0.076276 10 1.04619±0.00502 0.76823 0.25515±0.00638 0.23532±0.02495 0.07768±0.10047 0.00732 0.02471 0.03987 0.08549 0.02306 0.031406 11 0.97010±0.00398 0.14504 0.37910±0.00948 0.34491±0.01025 0.09017±0.03534 0.00799 0.02289 0.00507 0.01086 0.02275 0.006746 12 0.88138±0.00469 -0.67018 0.16475±0.00412 0.12824±0.02172 0.22163±0.13328 0.01222 0.03153 0.05386 0.11550 0.01946 0.000006 13 0.62644±0.00394 -0.18191 0.01837±0.00046 0.00427±0.00581 0.76766±0.31635 0.00954 0.06077 0.13113 0.28118 0.00581 0.000006 14 0.48084±0.00397 -0.00771 0.00494±0.00012 0.00039±0.00036 0.92191±0.07192 0.00242 0.05267 0.02065 0.04429 0.00195 0.000007 9 4.11672±0.36626 -0.00364 0.00883±0.00022 0.00355±0.00173 0.59782±0.19563 0.10329 0.16533 0.00545 0.01170 0.01005 0.523967 10 1.49759±0.01381 0.11556 0.06867±0.00172 0.05168±0.00452 0.24741±0.06849 0.01155 0.03775 0.02228 0.04778 0.01881 0.062487 11 1.03387±0.00481 0.80358 0.31545±0.00789 0.29136±0.02646 0.07635±0.08701 0.00749 0.02475 0.03373 0.07233 0.02309 0.034347 12 0.95176±0.00429 0.06160 0.33044±0.00826 0.29852±0.00864 0.09660±0.03456 0.00884 0.02392 0.00247 0.00529 0.02258 0.007927 13 0.86993±0.00490 -0.64612 0.15511±0.00388 0.12261±0.02097 0.20952±0.13664 0.01312 0.03279 0.05516 0.11828 0.01976 0.003587 14 0.60460±0.00382 -0.26699 0.02320±0.00058 0.00585±0.00846 0.74792±0.36453 0.01061 0.05276 0.15236 0.32670 0.00630 0.001417 15 0.40492±0.00298 -0.00831 0.00595±0.00015 0.00027±0.00030 0.95463±0.05115 0.00141 0.02649 0.01848 0.03962 0.00113 0.010278 10 2.32322±0.32703 -0.00290 0.00531±0.00013 0.00112±0.00097 0.78882±0.18199 0.09443 0.15454 0.00723 0.01551 0.00528 0.899448 11 2.10764±0.03228 0.09738 0.05217±0.00130 0.04748±0.00514 0.08987±0.10119 0.02100 0.07655 0.02472 0.05300 0.02275 0.157308 12 1.23318±0.00679 0.38468 0.28297±0.00707 0.26140±0.01500 0.07621±0.05783 0.00973 0.03003 0.01800 0.03860 0.02309 0.036408 13 0.88299±0.00389 0.05948 0.27966±0.00699 0.29417±0.00876 -0.05190±0.04090 0.01009 0.02889 0.00282 0.00604 0.02630 0.004498 14 0.87093±0.00414 -0.48340 0.25125±0.00628 0.21461±0.01665 0.14582±0.06961 0.01025 0.02552 0.02548 0.05463 0.02135 0.001498 15 0.72514±0.00481 -0.47552 0.06161±0.00154 0.03167±0.01521 0.48590±0.24716 0.01352 0.04769 0.10219 0.21914 0.01285 0.001808 16 0.65038±0.00541 -0.00686 0.00624±0.00016 0.00062±0.00034 0.90133±0.05449 0.00277 0.04204 0.01456 0.03123 0.00247 0.002319 11 2.80919±0.45592 0.00002 0.00465±0.00012 0.00059±0.00046 0.87412±0.09804 0.04477 0.08717 0.00005 0.00011 0.00315 0.823089 12 2.76628±0.32032 -0.00071 0.00683±0.00017 0.00076±0.00058 0.88855±0.08531 0.03386 0.07819 0.00138 0.00296 0.00279 0.731379 13 2.53296±0.24596 -0.00458 0.01056±0.00026 0.00152±0.00096 0.85580±0.09073 0.04813 0.07561 0.00575 0.01232 0.00360 0.804859 14 1.71043±0.02072 0.06709 0.10982±0.00275 0.09170±0.00598 0.16496±0.05834 0.02026 0.04681 0.00809 0.01735 0.02088 0.273209 15 1.23182±0.00706 -0.44364 0.39538±0.00988 0.33103±0.01802 0.16276±0.05015 0.01186 0.02647 0.01486 0.03186 0.02093 0.042369 16 1.09937±0.00483 -1.00936 0.32500±0.00812 0.22227±0.03289 0.31609±0.10265 0.00905 0.02636 0.04112 0.08818 0.01710 0.01348Table F.16: Pass 3 Target LH2, Energy 362, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.97707.197CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.23256±0.00912 0.05085 0.02781±0.00070 0.00833±0.00299 0.70068±0.10769 0.02358 0.10480 0.00084 0.00161 0.00748 0.787831 4 0.19138±0.00717 0.03428 0.01544±0.00039 0.00448±0.00087 0.71017±0.05673 0.02184 0.05181 0.00091 0.00175 0.00725 0.743831 5 0.20749±0.00522 -0.01973 0.01004±0.00025 0.00497±0.00059 0.50496±0.06024 0.02301 0.02865 0.02126 0.04091 0.01238 0.613311 6 0.21341±0.00520 -0.05509 0.00922±0.00023 0.00691±0.00167 0.25054±0.18236 0.02883 0.04765 0.07960 0.15319 0.01874 0.555241 7 0.22074±0.00414 -0.01669 0.01067±0.00027 0.00950±0.00101 0.11008±0.09704 0.03144 0.06452 0.02832 0.05450 0.02225 0.112111 8 0.19325±0.00433 -0.00294 0.00439±0.00011 0.00429±0.00074 0.02201±0.17063 0.04890 0.11107 0.05415 0.10420 0.02445 0.047881 9 0.25748±0.01080 -0.00025 0.00118±0.00003 0.00137±0.00054 -0.15592±0.45702 0.13488 0.21667 0.17430 0.33542 0.02890 0.000232 4 0.23353±0.01083 0.01763 0.01834±0.00046 0.00478±0.00202 0.73927±0.11030 0.02757 0.10172 0.01470 0.02828 0.00652 0.806772 5 0.21987±0.00910 0.06593 0.01470±0.00037 0.00447±0.00095 0.69600±0.06486 0.02644 0.05752 0.00549 0.01056 0.00760 0.748882 6 0.23525±0.00639 -0.02428 0.00929±0.00023 0.00469±0.00045 0.49561±0.04973 0.02694 0.03747 0.00627 0.01206 0.01261 0.634942 7 0.25470±0.00561 -0.05015 0.00987±0.00025 0.00745±0.00161 0.24587±0.16438 0.02570 0.04251 0.07173 0.13803 0.01885 0.507092 8 0.27568±0.00548 -0.00745 0.00933±0.00023 0.00842±0.00095 0.09760±0.10425 0.03262 0.06168 0.03416 0.06575 0.02256 0.100562 9 0.24757±0.00561 -0.00097 0.00751±0.00019 0.00673±0.00110 0.10337±0.14829 0.04662 0.08520 0.05063 0.09742 0.02242 0.024272 10 0.18396±0.00627 -0.00002 0.00163±0.00004 0.00141±0.00115 0.13491±0.70756 0.09845 0.14904 0.31553 0.60721 0.02163 0.110513 5 0.24820±0.01058 0.02118 0.02131±0.00053 0.00568±0.00189 0.73350±0.08889 0.02359 0.08520 0.00297 0.00571 0.00666 0.775013 6 0.27904±0.01011 0.06498 0.01953±0.00049 0.00696±0.00113 0.64341±0.05878 0.02445 0.04945 0.00841 0.01619 0.00891 0.702983 7 0.26883±0.00622 -0.03078 0.01326±0.00033 0.00734±0.00119 0.44696±0.09040 0.02138 0.03302 0.03699 0.07118 0.01383 0.616613 8 0.29525±0.00646 -0.03781 0.01203±0.00030 0.00929±0.00155 0.22773±0.12990 0.02752 0.05145 0.05277 0.10155 0.01931 0.319153 9 0.31859±0.00642 -0.00875 0.01527±0.00038 0.01423±0.00145 0.06804±0.09776 0.03637 0.08321 0.01277 0.02457 0.02330 0.178633 10 0.29833±0.00697 -0.00074 0.00971±0.00024 0.00910±0.00193 0.06279±0.20028 0.05470 0.09512 0.07650 0.14721 0.02343 0.049423 11 0.26137±0.00763 0.00002 0.00271±0.00007 0.00176±0.00163 0.35118±0.60135 0.07836 0.13329 0.26786 0.51546 0.01622 0.003704 6 0.28566±0.01362 0.02062 0.01922±0.00048 0.00445±0.00142 0.76845±0.07426 0.02451 0.06755 0.00821 0.01579 0.00579 0.822204 7 0.30709±0.01009 -0.00577 0.02623±0.00066 0.00929±0.00121 0.64559±0.04715 0.02299 0.03974 0.00280 0.00540 0.00886 0.723214 8 0.31496±0.00758 -0.05592 0.01477±0.00037 0.00868±0.00107 0.41276±0.07381 0.02465 0.03630 0.02652 0.05103 0.01468 0.511564 9 0.32601±0.00633 -0.06331 0.01914±0.00048 0.01556±0.00250 0.18693±0.13224 0.02522 0.05103 0.05423 0.10437 0.02033 0.350914 10 0.35025±0.00645 -0.00960 0.02046±0.00051 0.01911±0.00165 0.06608±0.08418 0.03450 0.07300 0.00217 0.00417 0.02335 0.050354 11 0.36415±0.00783 -0.00137 0.01359±0.00034 0.01269±0.00294 0.06615±0.21787 0.05332 0.10905 0.08273 0.15919 0.02335 0.022654 12 0.32932±0.00851 0.00016 0.00267±0.00007 0.00203±0.00138 0.23956±0.51863 0.07636 0.18935 0.21966 0.42270 0.01901 0.016865 7 0.36425±0.02226 0.01529 0.01247±0.00031 0.00322±0.00080 0.74157±0.06415 0.03444 0.05229 0.00572 0.01101 0.00646 0.735155 8 0.34643±0.01198 0.02008 0.02026±0.00051 0.00703±0.00096 0.65288±0.04822 0.02581 0.03714 0.00659 0.01269 0.00868 0.697035 9 0.35294±0.00767 -0.06128 0.01719±0.00043 0.01040±0.00128 0.39482±0.07581 0.02236 0.03576 0.02820 0.05427 0.01513 0.633445 10 0.37471±0.00724 -0.04727 0.02007±0.00050 0.01684±0.00270 0.16098±0.13598 0.02479 0.05029 0.05630 0.10834 0.02098 0.326345 11 0.40936±0.00778 -0.00622 0.02275±0.00057 0.02093±0.00189 0.07998±0.08616 0.03599 0.07426 0.00424 0.00816 0.02300 0.116005 12 0.40880±0.01067 -0.00043 0.01007±0.00025 0.00912±0.00289 0.09428±0.28791 0.07191 0.12062 0.11543 0.22212 0.02264 0.241255 13 0.40634±0.01186 0.00000 0.00225±0.00006 0.00179±0.00100 0.20558±0.44605 0.09037 0.15936 0.18730 0.36045 0.01986 0.005406 8 0.49085±0.03235 0.00230 0.00635±0.00016 0.00148±0.00042 0.76729±0.06594 0.03076 0.05803 0.00041 0.00079 0.00582 0.701706 9 0.35836±0.01095 0.00295 0.02245±0.00056 0.00722±0.00073 0.67845±0.03366 0.01863 0.02372 0.00580 0.01117 0.00804 0.713626 10 0.38802±0.00734 -0.08729 0.02193±0.00055 0.01435±0.00147 0.34542±0.06891 0.02177 0.03988 0.02267 0.04362 0.01636 0.463686 11 0.41732±0.00741 -0.04804 0.03153±0.00079 0.02714±0.00303 0.13910±0.09842 0.02569 0.04957 0.03603 0.06934 0.02152 0.320976 12 0.44506±0.00865 -0.00321 0.02452±0.00061 0.02477±0.00243 -0.01005±0.10210 0.04121 0.08782 0.00895 0.01723 0.02525 0.075676 13 0.46179±0.01105 -0.00029 0.01167±0.00029 0.01119±0.00233 0.04077±0.20092 0.06184 0.11006 0.07122 0.13705 0.02398 0.067266 14 0.43281±0.01450 0.00009 0.00335±0.00008 0.00259±0.00156 0.22780±0.46563 0.10357 0.22960 0.18036 0.34708 0.01930 0.014297 9 1.17718±0.18035 0.00029 0.00476±0.00012 0.00031±0.00063 0.93483±0.13188 0.05370 0.11867 0.00949 0.01825 0.00163 0.868847 10 0.52412±0.02286 -0.00804 0.01495±0.00037 0.00596±0.00079 0.60138±0.05381 0.03323 0.04005 0.00431 0.00830 0.00997 0.570577 11 0.44272±0.00924 -0.09038 0.02776±0.00069 0.01900±0.00220 0.31547±0.08100 0.02334 0.03604 0.03067 0.05902 0.01711 0.484837 12 0.45544±0.00823 -0.03455 0.03096±0.00077 0.02982±0.00377 0.03703±0.12422 0.02788 0.06615 0.04541 0.08739 0.02407 0.265727 13 0.49890±0.01019 -0.00248 0.02607±0.00065 0.02672±0.00239 -0.02522±0.09538 0.04004 0.07882 0.01153 0.02219 0.02563 0.021827 14 0.49269±0.01145 -0.00058 0.01529±0.00038 0.01430±0.00320 0.06451±0.21047 0.06102 0.11306 0.07611 0.14647 0.02339 0.038777 15 0.49436±0.01311 -0.00010 0.00460±0.00012 0.00347±0.00160 0.24610±0.34735 0.07639 0.14890 0.14008 0.26957 0.01885 0.009108 10 0.72289±0.15078 -0.00006 0.00743±0.00019 0.00011±0.00016 0.98459±0.02175 0.00925 0.01958 0.00093 0.00179 0.00039 0.954758 11 0.87814±0.08144 -0.00325 0.01024±0.00026 0.00387±0.00116 0.62185±0.11391 0.07120 0.08841 0.00017 0.00034 0.00945 0.458298 12 0.54712±0.01139 -0.06087 0.02211±0.00055 0.01499±0.00158 0.32172±0.07326 0.02336 0.04461 0.02325 0.04475 0.01696 0.476188 13 0.46913±0.00821 -0.05727 0.03360±0.00084 0.02709±0.00244 0.19386±0.07549 0.02578 0.05708 0.01706 0.03283 0.02015 0.268658 14 0.47248±0.00911 -0.00880 0.03657±0.00091 0.03450±0.00288 0.05658±0.08221 0.03743 0.06887 0.00350 0.00674 0.02359 0.154808 15 0.47305±0.01012 -0.00141 0.02279±0.00057 0.02263±0.00467 0.00703±0.20639 0.05711 0.12185 0.07124 0.13710 0.02482 0.008588 16 0.48865±0.01489 -0.00002 0.00347±0.00009 0.00262±0.00133 0.24547±0.38277 0.08909 0.19496 0.14597 0.28089 0.01886 0.000009 11 0.75273±0.18216 -0.00003 0.00571±0.00014 0.00010±0.00007 0.98161±0.01283 0.00979 0.00826 0.00022 0.00043 0.00046 0.952849 12 0.72121±0.12936 0.00028 0.00860±0.00021 0.00021±0.00014 0.97556±0.01676 0.01257 0.01061 0.00146 0.00281 0.00061 0.951889 13 0.58170±0.09194 -0.00004 0.01069±0.00027 0.00025±0.00018 0.97657±0.01670 0.01022 0.01278 0.00152 0.00292 0.00059 0.954359 14 0.59254±0.06234 -0.00728 0.02049±0.00051 0.00616±0.00148 0.69941±0.07278 0.04829 0.04620 0.01283 0.02469 0.00751 0.900879 15 0.54158±0.01919 -0.01214 0.05054±0.00126 0.03882±0.00397 0.23183±0.08081 0.05181 0.05596 0.00858 0.01650 0.01920 0.670119 16 0.47914±0.01069 -0.00373 0.05615±0.00140 0.04679±0.00563 0.16662±0.10246 0.04380 0.06349 0.02958 0.05691 0.02083 0.28977Table F.17: Pass 3 Target LD2, Energy 687, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.77019198CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.33042±0.01278 0.05065 0.04237±0.00106 0.01182±0.00405 0.72100±0.09589 0.02073 0.09336 0.00055 0.00101 0.00697 0.787831 4 0.30384±0.01138 0.03414 0.02398±0.00060 0.00710±0.00132 0.70390±0.05540 0.02130 0.05059 0.00058 0.00108 0.00740 0.743831 5 0.35266±0.00888 -0.01965 0.01580±0.00039 0.00839±0.00075 0.46906±0.04912 0.02376 0.02956 0.01346 0.02484 0.01327 0.613311 6 0.34041±0.00830 -0.05488 0.01414±0.00035 0.01083±0.00172 0.23413±0.12336 0.02866 0.04736 0.05172 0.09546 0.01915 0.555241 7 0.30627±0.00572 -0.01663 0.01485±0.00037 0.01311±0.00120 0.11762±0.08344 0.02982 0.06145 0.02027 0.03741 0.02206 0.112111 8 0.23823±0.00532 -0.00292 0.00564±0.00014 0.00533±0.00080 0.05399±0.14376 0.04463 0.10177 0.04196 0.07744 0.02365 0.047881 9 0.31281±0.01316 -0.00025 0.00140±0.00004 0.00171±0.00056 -0.22092±0.39743 0.13243 0.21210 0.14645 0.27028 0.03052 0.000232 4 0.35100±0.01609 0.01757 0.02881±0.00072 0.00726±0.00283 0.74788±0.09844 0.02492 0.09299 0.00932 0.01720 0.00630 0.806772 5 0.33232±0.01365 0.06567 0.02169±0.00054 0.00678±0.00135 0.68764±0.06283 0.02566 0.05628 0.00370 0.00684 0.00781 0.748882 6 0.36954±0.01005 -0.02418 0.01346±0.00034 0.00734±0.00065 0.45415±0.05056 0.02794 0.03882 0.00431 0.00795 0.01365 0.634942 7 0.37107±0.00820 -0.04995 0.01358±0.00034 0.01064±0.00163 0.21628±0.12170 0.02611 0.04302 0.05196 0.09589 0.01959 0.507092 8 0.35763±0.00707 -0.00742 0.01221±0.00031 0.01084±0.00105 0.11236±0.08852 0.03074 0.05844 0.02602 0.04802 0.02219 0.100562 9 0.30484±0.00686 -0.00097 0.00969±0.00024 0.00838±0.00117 0.13477±0.12254 0.04224 0.07768 0.03909 0.07214 0.02163 0.024272 10 0.23288±0.00786 -0.00002 0.00222±0.00006 0.00188±0.00113 0.15538±0.50868 0.08624 0.13199 0.23018 0.42481 0.02112 0.110513 5 0.32967±0.01392 0.02110 0.02945±0.00074 0.00756±0.00239 0.74327±0.08150 0.02145 0.07823 0.00214 0.00395 0.00642 0.775013 6 0.37770±0.01357 0.06472 0.02587±0.00065 0.00938±0.00143 0.63753±0.05611 0.02367 0.04827 0.00633 0.01168 0.00906 0.702983 7 0.37159±0.00863 -0.03066 0.01698±0.00042 0.01000±0.00124 0.41146±0.07424 0.02211 0.03405 0.02877 0.05310 0.01471 0.616613 8 0.39744±0.00872 -0.03766 0.01529±0.00038 0.01231±0.00161 0.19496±0.10693 0.02791 0.05206 0.04136 0.07634 0.02013 0.319153 9 0.38823±0.00778 -0.00871 0.01898±0.00047 0.01728±0.00166 0.08938±0.09057 0.03390 0.07794 0.01023 0.01889 0.02277 0.178633 10 0.37181±0.00860 -0.00073 0.01286±0.00032 0.01156±0.00200 0.10119±0.15736 0.04869 0.08550 0.05752 0.10616 0.02247 0.049423 11 0.29022±0.00832 0.00002 0.00314±0.00008 0.00212±0.00158 0.32369±0.50484 0.07055 0.12229 0.23077 0.42590 0.01691 0.003704 6 0.35746±0.01697 0.02054 0.02475±0.00062 0.00561±0.00168 0.77322±0.06822 0.02266 0.06270 0.00635 0.01171 0.00567 0.822204 7 0.38013±0.01241 -0.00575 0.03195±0.00080 0.01148±0.00143 0.64062±0.04564 0.02218 0.03856 0.00229 0.00423 0.00898 0.723214 8 0.41988±0.01011 -0.05570 0.01824±0.00046 0.01144±0.00116 0.37293±0.06566 0.02542 0.03745 0.02140 0.03949 0.01568 0.511564 9 0.41314±0.00802 -0.06306 0.02334±0.00058 0.01938±0.00254 0.16970±0.11075 0.02502 0.05065 0.04429 0.08174 0.02076 0.350914 10 0.42682±0.00779 -0.00956 0.02580±0.00064 0.02327±0.00192 0.09817±0.07784 0.03158 0.06738 0.00171 0.00316 0.02255 0.050354 11 0.39859±0.00848 -0.00136 0.01607±0.00040 0.01424±0.00291 0.11387±0.18256 0.04658 0.09639 0.06966 0.12855 0.02215 0.022654 12 0.33823±0.00857 0.00015 0.00289±0.00007 0.00224±0.00134 0.22450±0.46290 0.06780 0.17156 0.20205 0.37289 0.01939 0.016865 7 0.41922±0.02552 0.01523 0.01403±0.00035 0.00373±0.00087 0.73381±0.06241 0.03354 0.05112 0.00507 0.00935 0.00665 0.735155 8 0.41474±0.01427 0.02000 0.02309±0.00058 0.00846±0.00108 0.63358±0.04777 0.02577 0.03725 0.00576 0.01063 0.00916 0.697035 9 0.41438±0.00902 -0.06104 0.01875±0.00047 0.01205±0.00130 0.35707±0.07115 0.02302 0.03677 0.02575 0.04752 0.01607 0.633445 10 0.44042±0.00848 -0.04708 0.02304±0.00058 0.01940±0.00268 0.15817±0.11813 0.02417 0.04918 0.04884 0.09013 0.02105 0.326345 11 0.42187±0.00794 -0.00620 0.02467±0.00062 0.02161±0.00186 0.12426±0.07837 0.03239 0.06742 0.00389 0.00719 0.02189 0.116005 12 0.38591±0.00994 -0.00043 0.01016±0.00025 0.00896±0.00274 0.11776±0.27079 0.06343 0.10779 0.11394 0.21028 0.02206 0.241255 13 0.35738±0.01013 0.00000 0.00202±0.00005 0.00169±0.00095 0.16112±0.46967 0.08234 0.14943 0.20823 0.38429 0.02097 0.005406 8 0.49637±0.03286 0.00229 0.00617±0.00015 0.00149±0.00040 0.75811±0.06560 0.03070 0.05766 0.00042 0.00077 0.00605 0.701706 9 0.38393±0.01171 0.00294 0.02299±0.00057 0.00770±0.00074 0.66525±0.03344 0.01858 0.02371 0.00565 0.01042 0.00837 0.713626 10 0.44318±0.00840 -0.08695 0.02345±0.00059 0.01622±0.00150 0.30827±0.06645 0.02227 0.04069 0.02111 0.03897 0.01729 0.463686 11 0.42723±0.00756 -0.04785 0.03232±0.00081 0.02740±0.00293 0.15203±0.09319 0.02441 0.04729 0.03501 0.06462 0.02120 0.320976 12 0.42171±0.00812 -0.00320 0.02453±0.00061 0.02354±0.00220 0.04017±0.09277 0.03694 0.07947 0.00892 0.01646 0.02400 0.075676 13 0.40441±0.00957 -0.00029 0.01092±0.00027 0.01007±0.00213 0.07846±0.19616 0.05465 0.09834 0.07576 0.13983 0.02304 0.067266 14 0.36748±0.01198 0.00009 0.00296±0.00007 0.00238±0.00144 0.19833±0.48550 0.09249 0.21084 0.20341 0.37540 0.02004 0.014297 9 0.85577±0.13516 0.00029 0.00346±0.00009 0.00026±0.00044 0.92603±0.12800 0.05286 0.11332 0.01299 0.02398 0.00185 0.868847 10 0.52085±0.02258 -0.00800 0.01465±0.00037 0.00590±0.00075 0.59745±0.05212 0.03201 0.03881 0.00439 0.00810 0.01006 0.570577 11 0.45433±0.00952 -0.09002 0.02692±0.00067 0.01919±0.00213 0.28695±0.08111 0.02369 0.03644 0.03150 0.05814 0.01783 0.484837 12 0.44239±0.00797 -0.03442 0.03024±0.00076 0.02847±0.00359 0.05857±0.12103 0.02640 0.06284 0.04631 0.08547 0.02354 0.265727 13 0.44644±0.00904 -0.00247 0.02430±0.00061 0.02381±0.00206 0.02031±0.08841 0.03639 0.07227 0.01232 0.02274 0.02449 0.021827 14 0.42114±0.00971 -0.00057 0.01370±0.00034 0.01261±0.00291 0.07949±0.21379 0.05514 0.10301 0.08459 0.15611 0.02301 0.038777 15 0.40018±0.01037 -0.00010 0.00391±0.00010 0.00301±0.00147 0.22950±0.37709 0.06792 0.13552 0.16423 0.30310 0.01926 0.009108 10 0.69505±0.14587 -0.00006 0.00718±0.00018 0.00011±0.00015 0.98414±0.02071 0.00885 0.01862 0.00096 0.00177 0.00040 0.954758 11 0.81438±0.07528 -0.00323 0.00931±0.00023 0.00359±0.00103 0.61421±0.11087 0.06914 0.08614 0.00019 0.00035 0.00964 0.458298 12 0.56858±0.01190 -0.06063 0.02167±0.00054 0.01535±0.00154 0.29176±0.07333 0.02378 0.04516 0.02362 0.04360 0.01771 0.476188 13 0.47321±0.00828 -0.05704 0.03367±0.00084 0.02711±0.00236 0.19497±0.07279 0.02479 0.05488 0.01696 0.03130 0.02013 0.268658 14 0.44572±0.00855 -0.00877 0.03551±0.00089 0.03259±0.00259 0.08235±0.07654 0.03452 0.06390 0.00359 0.00662 0.02294 0.154808 15 0.43881±0.00930 -0.00140 0.02240±0.00056 0.02155±0.00434 0.03774±0.19547 0.05097 0.10985 0.07220 0.13324 0.02406 0.008588 16 0.46763±0.01389 -0.00002 0.00344±0.00009 0.00269±0.00126 0.21707±0.36595 0.08005 0.17981 0.14668 0.27070 0.01957 0.000009 11 0.50086±0.12161 -0.00003 0.00384±0.00010 0.00007±0.00005 0.98167±0.01216 0.00929 0.00780 0.00033 0.00061 0.00046 0.952849 12 0.59897±0.10845 0.00028 0.00692±0.00017 0.00018±0.00012 0.97391±0.01676 0.01251 0.01046 0.00181 0.00334 0.00065 0.951889 13 0.49170±0.07844 -0.00004 0.00883±0.00022 0.00022±0.00015 0.97532±0.01651 0.01008 0.01248 0.00183 0.00338 0.00062 0.954359 14 0.45745±0.04814 -0.00725 0.01567±0.00039 0.00466±0.00115 0.70275±0.07372 0.04656 0.04453 0.01670 0.03082 0.00743 0.900879 15 0.45843±0.01617 -0.01209 0.04372±0.00109 0.03270±0.00324 0.25196±0.07642 0.04821 0.05231 0.00987 0.01822 0.01870 0.670119 16 0.40104±0.00891 -0.00371 0.04838±0.00121 0.03969±0.00490 0.17962±0.10333 0.04046 0.05891 0.03419 0.06309 0.02051 0.28977Table F.18: Pass 3 Target LD2, Energy 687, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.67426199CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.22719±0.00894 0.05015 0.02795±0.00070 0.00812±0.00247 0.70958±0.08869 0.01946 0.08621 0.00082 0.00136 0.00726 0.787831 4 0.19290±0.00703 0.03381 0.01619±0.00040 0.00450±0.00074 0.72177±0.04613 0.01728 0.04217 0.00086 0.00141 0.00696 0.743831 5 0.21896±0.00553 -0.01946 0.01062±0.00027 0.00512±0.00052 0.51809±0.05075 0.01950 0.02420 0.01983 0.03274 0.01205 0.613311 6 0.20915±0.00516 -0.05434 0.00867±0.00022 0.00635±0.00146 0.26715±0.16960 0.02574 0.04204 0.08352 0.13793 0.01832 0.555241 7 0.22941±0.00431 -0.01647 0.01106±0.00028 0.00968±0.00089 0.12481±0.08307 0.02677 0.05475 0.02695 0.04450 0.02188 0.112111 8 0.21062±0.00470 -0.00289 0.00495±0.00012 0.00481±0.00067 0.02856±0.13688 0.03978 0.09072 0.04729 0.07809 0.02429 0.047881 9 0.26693±0.01035 -0.00025 0.00138±0.00003 0.00157±0.00047 -0.13855±0.34283 0.09402 0.16326 0.14763 0.24379 0.02846 0.000232 4 0.22791±0.01051 0.01739 0.01850±0.00046 0.00484±0.00168 0.73858±0.09088 0.02245 0.08332 0.01437 0.02374 0.00654 0.806772 5 0.22758±0.00912 0.06503 0.01583±0.00040 0.00468±0.00083 0.70472±0.05263 0.02080 0.04678 0.00502 0.00830 0.00738 0.748882 6 0.23228±0.00638 -0.02395 0.00904±0.00023 0.00459±0.00038 0.49224±0.04351 0.02337 0.03218 0.00635 0.01049 0.01269 0.634942 7 0.26613±0.00596 -0.04946 0.00980±0.00025 0.00726±0.00142 0.25889±0.14577 0.02330 0.03787 0.07127 0.11769 0.01853 0.507092 8 0.27386±0.00542 -0.00735 0.00935±0.00023 0.00813±0.00082 0.13106±0.09004 0.02725 0.05175 0.03363 0.05553 0.02172 0.100562 9 0.25506±0.00569 -0.00096 0.00807±0.00020 0.00720±0.00096 0.10769±0.12126 0.03724 0.06911 0.04645 0.07671 0.02231 0.024272 10 0.21530±0.00697 -0.00002 0.00215±0.00005 0.00195±0.00102 0.09403±0.47338 0.06992 0.11159 0.23523 0.38846 0.02265 0.110513 5 0.23006±0.00976 0.02089 0.02034±0.00051 0.00531±0.00148 0.73915±0.07320 0.01931 0.07005 0.00307 0.00506 0.00652 0.775013 6 0.27402±0.00960 0.06409 0.02008±0.00050 0.00671±0.00094 0.66560±0.04770 0.01912 0.03997 0.00807 0.01333 0.00836 0.702983 7 0.27549±0.00647 -0.03036 0.01342±0.00034 0.00715±0.00104 0.46725±0.07857 0.01859 0.02832 0.03607 0.05956 0.01332 0.616613 8 0.29850±0.00666 -0.03729 0.01153±0.00029 0.00888±0.00135 0.23006±0.11879 0.02504 0.04595 0.05433 0.08972 0.01925 0.319153 9 0.32075±0.00643 -0.00863 0.01567±0.00039 0.01416±0.00124 0.09684±0.08212 0.03002 0.06908 0.01227 0.02026 0.02258 0.178633 10 0.30104±0.00685 -0.00073 0.01062±0.00027 0.00979±0.00168 0.07783±0.15971 0.04162 0.07426 0.06897 0.11389 0.02305 0.049423 11 0.28363±0.00771 0.00002 0.00323±0.00008 0.00247±0.00143 0.23430±0.44425 0.05623 0.10276 0.22175 0.36619 0.01914 0.003704 6 0.23884±0.01121 0.02034 0.01681±0.00042 0.00382±0.00102 0.77245±0.06101 0.01954 0.05467 0.00926 0.01529 0.00569 0.822204 7 0.29759±0.00948 -0.00569 0.02655±0.00066 0.00895±0.00099 0.66300±0.03823 0.01806 0.03219 0.00273 0.00451 0.00843 0.723214 8 0.32173±0.00785 -0.05516 0.01464±0.00037 0.00852±0.00093 0.41821±0.06547 0.02179 0.03167 0.02640 0.04359 0.01454 0.511564 9 0.33533±0.00664 -0.06244 0.01888±0.00047 0.01505±0.00219 0.20285±0.11787 0.02267 0.04503 0.05422 0.08953 0.01993 0.350914 10 0.35062±0.00639 -0.00947 0.02119±0.00053 0.01908±0.00140 0.09959±0.06977 0.02794 0.05970 0.00206 0.00341 0.02251 0.050354 11 0.35778±0.00746 -0.00135 0.01474±0.00037 0.01357±0.00254 0.07960±0.17367 0.03960 0.08358 0.07520 0.12419 0.02301 0.022654 12 0.33047±0.00799 0.00015 0.00305±0.00008 0.00257±0.00121 0.15614±0.39723 0.05321 0.14107 0.19005 0.31384 0.02110 0.016865 7 0.29386±0.01740 0.01508 0.01040±0.00026 0.00266±0.00055 0.74452±0.05282 0.02732 0.04280 0.00677 0.01117 0.00639 0.735155 8 0.33458±0.01130 0.01981 0.01995±0.00050 0.00691±0.00079 0.65343±0.04033 0.02094 0.03083 0.00660 0.01091 0.00866 0.697035 9 0.35486±0.00782 -0.06045 0.01674±0.00042 0.00999±0.00111 0.40333±0.06806 0.01982 0.03125 0.02856 0.04716 0.01492 0.633445 10 0.37113±0.00721 -0.04662 0.01929±0.00048 0.01553±0.00235 0.19522±0.12342 0.02175 0.04385 0.05775 0.09537 0.02012 0.326345 11 0.39844±0.00748 -0.00613 0.02318±0.00058 0.02048±0.00155 0.11630±0.07062 0.02878 0.06006 0.00410 0.00678 0.02209 0.116005 12 0.38719±0.00975 -0.00043 0.01058±0.00026 0.00987±0.00248 0.06718±0.23570 0.05296 0.09201 0.10833 0.17889 0.02332 0.241255 13 0.37512±0.00992 0.00000 0.00238±0.00006 0.00208±0.00086 0.12480±0.36283 0.06051 0.11770 0.17463 0.28837 0.02188 0.005406 8 0.42116±0.02860 0.00227 0.00526±0.00013 0.00127±0.00030 0.75928±0.05834 0.02782 0.05092 0.00049 0.00080 0.00602 0.701706 9 0.33899±0.01042 0.00291 0.02112±0.00053 0.00671±0.00060 0.68238±0.02938 0.01594 0.02019 0.00608 0.01005 0.00794 0.713626 10 0.39743±0.00764 -0.08610 0.02181±0.00055 0.01416±0.00128 0.35070±0.06106 0.01930 0.03476 0.02248 0.03712 0.01623 0.463686 11 0.41496±0.00744 -0.04738 0.03079±0.00077 0.02570±0.00262 0.16547±0.08772 0.02235 0.04271 0.03639 0.06009 0.02086 0.320976 12 0.43086±0.00826 -0.00317 0.02497±0.00062 0.02424±0.00199 0.02919±0.08328 0.03273 0.07068 0.00868 0.01433 0.02427 0.075676 13 0.44023±0.01022 -0.00029 0.01240±0.00031 0.01167±0.00197 0.05855±0.16094 0.04557 0.08357 0.06611 0.10917 0.02354 0.067266 14 0.39905±0.01222 0.00008 0.00358±0.00009 0.00305±0.00132 0.14874±0.36983 0.06914 0.16776 0.16656 0.27506 0.02128 0.014297 9 1.17121±0.19824 0.00029 0.00431±0.00011 0.00045±0.00054 0.89498±0.12477 0.05507 0.11015 0.01031 0.01703 0.00263 0.868847 10 0.44844±0.01933 -0.00793 0.01304±0.00033 0.00502±0.00057 0.61480±0.04509 0.02728 0.03327 0.00488 0.00806 0.00963 0.570577 11 0.45529±0.00967 -0.08914 0.02767±0.00069 0.01848±0.00193 0.33219±0.07163 0.02075 0.03147 0.03034 0.05011 0.01670 0.484837 12 0.47206±0.00859 -0.03408 0.03168±0.00079 0.02909±0.00331 0.08199±0.10706 0.02407 0.05671 0.04377 0.07228 0.02295 0.265727 13 0.50009±0.01007 -0.00245 0.02718±0.00068 0.02637±0.00203 0.02963±0.07859 0.03213 0.06413 0.01091 0.01801 0.02426 0.021827 14 0.48707±0.01105 -0.00057 0.01651±0.00041 0.01569±0.00275 0.04972±0.16844 0.04617 0.08759 0.06950 0.11477 0.02376 0.038777 15 0.46872±0.01150 -0.00010 0.00504±0.00013 0.00412±0.00137 0.18355±0.27245 0.05176 0.10904 0.12608 0.20820 0.02041 0.009108 10 0.78238±0.16755 -0.00006 0.00795±0.00020 0.00014±0.00015 0.98256±0.01870 0.00812 0.01675 0.00086 0.00142 0.00044 0.954758 11 0.82553±0.07654 -0.00320 0.00966±0.00024 0.00364±0.00092 0.62277±0.09619 0.06003 0.07457 0.00018 0.00030 0.00943 0.458298 12 0.56591±0.01213 -0.06004 0.02190±0.00055 0.01471±0.00139 0.32811±0.06547 0.02126 0.03942 0.02316 0.03824 0.01680 0.476188 13 0.49655±0.00878 -0.05649 0.03469±0.00087 0.02789±0.00218 0.19589±0.06603 0.02262 0.04954 0.01630 0.02692 0.02010 0.268658 14 0.49285±0.00944 -0.00868 0.03901±0.00098 0.03616±0.00254 0.07307±0.06907 0.03077 0.05700 0.00324 0.00534 0.02317 0.154808 15 0.50256±0.01050 -0.00139 0.02631±0.00066 0.02627±0.00413 0.00146±0.15910 0.04339 0.09489 0.06085 0.10049 0.02496 0.008588 16 0.52806±0.01473 -0.00002 0.00431±0.00011 0.00356±0.00117 0.17303±0.27350 0.06010 0.14365 0.11597 0.19152 0.02067 0.000009 11 0.80300±0.19936 -0.00003 0.00598±0.00015 0.00011±0.00007 0.98082±0.01122 0.00865 0.00711 0.00021 0.00035 0.00048 0.952849 12 0.83239±0.15568 0.00028 0.00945±0.00024 0.00027±0.00014 0.97131±0.01521 0.01164 0.00943 0.00131 0.00216 0.00072 0.951889 13 0.67235±0.10837 -0.00004 0.01211±0.00030 0.00032±0.00018 0.97362±0.01448 0.00900 0.01103 0.00132 0.00218 0.00066 0.954359 14 0.58674±0.06193 -0.00718 0.02010±0.00050 0.00568±0.00125 0.71765±0.06276 0.04138 0.03946 0.01290 0.02130 0.00706 0.900879 15 0.55067±0.01949 -0.01197 0.05161±0.00129 0.03882±0.00342 0.24784±0.06882 0.04362 0.04716 0.00828 0.01368 0.01880 0.670119 16 0.47955±0.01055 -0.00368 0.05867±0.00147 0.04901±0.00483 0.16461±0.08495 0.03502 0.05147 0.02792 0.04610 0.02088 0.28977Table F.19: Pass 3 Target LD2, Energy 687, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.43772200CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.19479±0.00762 0.04967 0.02489±0.00062 0.00695±0.00186 0.72070±0.07497 0.01635 0.07281 0.00092 0.00134 0.00698 0.787831 4 0.18333±0.00657 0.03348 0.01537±0.00038 0.00428±0.00061 0.72187±0.04054 0.01492 0.03702 0.00089 0.00130 0.00695 0.743831 5 0.19812±0.00502 -0.01927 0.00934±0.00023 0.00455±0.00045 0.51284±0.05002 0.01766 0.02184 0.02233 0.03266 0.01218 0.613311 6 0.20402±0.00508 -0.05381 0.00808±0.00020 0.00591±0.00132 0.26830±0.16470 0.02385 0.03860 0.08876 0.12983 0.01829 0.555241 7 0.21021±0.00395 -0.01631 0.00997±0.00025 0.00875±0.00075 0.12226±0.07867 0.02387 0.04884 0.02962 0.04332 0.02194 0.112111 8 0.19095±0.00424 -0.00287 0.00464±0.00012 0.00445±0.00057 0.04085±0.12444 0.03358 0.07704 0.05000 0.07314 0.02398 0.047881 9 0.23167±0.00865 -0.00025 0.00125±0.00003 0.00145±0.00041 -0.16348±0.32730 0.07598 0.13714 0.16132 0.23595 0.02909 0.000232 4 0.20868±0.00953 0.01722 0.01726±0.00043 0.00454±0.00136 0.73718±0.07928 0.01915 0.07173 0.01526 0.02232 0.00657 0.806772 5 0.20612±0.00809 0.06440 0.01451±0.00036 0.00427±0.00066 0.70604±0.04585 0.01766 0.04054 0.00543 0.00794 0.00735 0.748882 6 0.24054±0.00666 -0.02372 0.00923±0.00023 0.00473±0.00034 0.48812±0.03926 0.02096 0.02862 0.00616 0.00901 0.01280 0.634942 7 0.25290±0.00575 -0.04898 0.00871±0.00022 0.00656±0.00128 0.24655±0.14806 0.02217 0.03553 0.07945 0.11620 0.01884 0.507092 8 0.25167±0.00496 -0.00728 0.00850±0.00021 0.00732±0.00071 0.13932±0.08582 0.02407 0.04590 0.03664 0.05360 0.02152 0.100562 9 0.22464±0.00494 -0.00095 0.00745±0.00019 0.00651±0.00082 0.12625±0.11215 0.03077 0.05787 0.04986 0.07293 0.02184 0.024272 10 0.20394±0.00639 -0.00002 0.00208±0.00005 0.00205±0.00092 0.01621±0.44211 0.05823 0.09589 0.24096 0.35243 0.02459 0.110513 5 0.19417±0.00818 0.02069 0.01748±0.00044 0.00450±0.00110 0.74253±0.06319 0.01651 0.06033 0.00353 0.00517 0.00644 0.775013 6 0.24650±0.00845 0.06347 0.01816±0.00045 0.00596±0.00075 0.67163±0.04237 0.01633 0.03487 0.00884 0.01293 0.00821 0.702983 7 0.24828±0.00589 -0.03006 0.01161±0.00029 0.00621±0.00092 0.46535±0.08055 0.01715 0.02586 0.04127 0.06036 0.01337 0.616613 8 0.27824±0.00629 -0.03693 0.01020±0.00025 0.00794±0.00121 0.22162±0.11981 0.02347 0.04248 0.06084 0.08898 0.01946 0.319153 9 0.27345±0.00546 -0.00854 0.01341±0.00034 0.01197±0.00094 0.10762±0.07389 0.02613 0.06038 0.01420 0.02077 0.02231 0.178633 10 0.25710±0.00574 -0.00072 0.00940±0.00024 0.00873±0.00145 0.07178±0.15607 0.03456 0.06282 0.07713 0.11282 0.02321 0.049423 11 0.22748±0.00590 0.00002 0.00277±0.00007 0.00230±0.00128 0.16923±0.46442 0.04403 0.08436 0.25628 0.37485 0.02077 0.003704 6 0.17572±0.00816 0.02014 0.01239±0.00031 0.00287±0.00069 0.76870±0.05562 0.01692 0.04784 0.01243 0.01818 0.00578 0.822204 7 0.25080±0.00784 -0.00564 0.02272±0.00057 0.00751±0.00073 0.66960±0.03328 0.01531 0.02782 0.00316 0.00462 0.00826 0.723214 8 0.28724±0.00708 -0.05462 0.01267±0.00032 0.00739±0.00081 0.41685±0.06553 0.01993 0.02865 0.03020 0.04418 0.01458 0.511564 9 0.28936±0.00581 -0.06184 0.01544±0.00039 0.01241±0.00194 0.19621±0.12696 0.02128 0.04166 0.06564 0.09601 0.02009 0.350914 10 0.29665±0.00537 -0.00937 0.01808±0.00045 0.01612±0.00104 0.10855±0.06159 0.02414 0.05193 0.00239 0.00350 0.02229 0.050354 11 0.28180±0.00573 -0.00134 0.01254±0.00031 0.01129±0.00216 0.09928±0.17371 0.03138 0.06790 0.08757 0.12808 0.02252 0.022654 12 0.26109±0.00602 0.00015 0.00270±0.00007 0.00232±0.00106 0.13938±0.39462 0.03966 0.11029 0.21233 0.31056 0.02152 0.016865 7 0.20117±0.01169 0.01493 0.00711±0.00018 0.00185±0.00034 0.74010±0.04812 0.02357 0.03763 0.00981 0.01435 0.00650 0.735155 8 0.27886±0.00930 0.01961 0.01653±0.00041 0.00583±0.00059 0.64703±0.03669 0.01824 0.02720 0.00789 0.01155 0.00882 0.697035 9 0.29388±0.00656 -0.05986 0.01343±0.00034 0.00800±0.00095 0.40436±0.07248 0.01817 0.02829 0.03525 0.05156 0.01489 0.633445 10 0.30905±0.00604 -0.04617 0.01536±0.00038 0.01226±0.00207 0.20160±0.13647 0.02008 0.04023 0.07184 0.10508 0.01996 0.326345 11 0.29605±0.00550 -0.00608 0.01774±0.00044 0.01527±0.00102 0.13901±0.06127 0.02422 0.05115 0.00531 0.00777 0.02152 0.116005 12 0.28575±0.00698 -0.00042 0.00861±0.00022 0.00792±0.00214 0.08014±0.24927 0.04084 0.07320 0.13186 0.19286 0.02300 0.241255 13 0.27009±0.00669 0.00000 0.00195±0.00005 0.00172±0.00076 0.11899±0.38806 0.04366 0.09076 0.21115 0.30883 0.02203 0.005406 8 0.27402±0.01903 0.00225 0.00328±0.00008 0.00082±0.00017 0.74922±0.05377 0.02603 0.04661 0.00077 0.00113 0.00627 0.701706 9 0.24268±0.00751 0.00288 0.01468±0.00037 0.00474±0.00041 0.67691±0.02906 0.01450 0.01825 0.00867 0.01268 0.00808 0.713626 10 0.30652±0.00597 -0.08526 0.01615±0.00040 0.01063±0.00104 0.34191±0.06659 0.01785 0.03175 0.03006 0.04396 0.01645 0.463686 11 0.30413±0.00549 -0.04692 0.02202±0.00055 0.01817±0.00219 0.17479±0.10138 0.02024 0.03839 0.05039 0.07370 0.02063 0.320976 12 0.31019±0.00587 -0.00314 0.01870±0.00047 0.01758±0.00128 0.05980±0.07251 0.02722 0.05959 0.01147 0.01678 0.02350 0.075676 13 0.30655±0.00694 -0.00029 0.00952±0.00024 0.00861±0.00161 0.09557±0.17021 0.03533 0.06644 0.08521 0.12464 0.02261 0.067266 14 0.27138±0.00781 0.00008 0.00270±0.00007 0.00239±0.00112 0.11507±0.41396 0.05148 0.13286 0.21900 0.32032 0.02212 0.014297 9 0.71386±0.13022 0.00029 0.00251±0.00006 0.00034±0.00030 0.86552±0.11910 0.05451 0.10117 0.01754 0.02566 0.00336 0.868847 10 0.30683±0.01312 -0.00785 0.00891±0.00022 0.00340±0.00035 0.61848±0.04084 0.02377 0.02923 0.00708 0.01035 0.00954 0.570577 11 0.31728±0.00684 -0.08828 0.01835±0.00046 0.01236±0.00161 0.32655±0.08912 0.01939 0.02900 0.04530 0.06626 0.01684 0.484837 12 0.33125±0.00606 -0.03375 0.02163±0.00054 0.01952±0.00271 0.09768±0.12748 0.02181 0.05112 0.06349 0.09286 0.02256 0.265727 13 0.33243±0.00661 -0.00242 0.01867±0.00047 0.01734±0.00125 0.07116±0.07074 0.02693 0.05443 0.01573 0.02300 0.02322 0.021827 14 0.31764±0.00707 -0.00056 0.01144±0.00029 0.01094±0.00222 0.04353±0.19545 0.03740 0.07233 0.09937 0.14534 0.02391 0.038777 15 0.30737±0.00715 -0.00010 0.00368±0.00009 0.00308±0.00117 0.16217±0.31863 0.03876 0.08607 0.17135 0.25063 0.02095 0.009108 10 0.54643±0.11916 -0.00006 0.00553±0.00014 0.00010±0.00009 0.98116±0.01662 0.00729 0.01477 0.00122 0.00179 0.00047 0.954758 11 0.48589±0.04507 -0.00317 0.00569±0.00014 0.00215±0.00048 0.62303±0.08439 0.05261 0.06531 0.00031 0.00045 0.00942 0.458298 12 0.37432±0.00819 -0.05946 0.01374±0.00034 0.00936±0.00106 0.31867±0.07882 0.02007 0.03644 0.03654 0.05344 0.01703 0.476188 13 0.33832±0.00603 -0.05594 0.02282±0.00057 0.01863±0.00150 0.18361±0.06899 0.02071 0.04499 0.02454 0.03589 0.02041 0.268658 14 0.32621±0.00620 -0.00860 0.02649±0.00066 0.02401±0.00148 0.09371±0.06031 0.02608 0.04872 0.00472 0.00690 0.02266 0.154808 15 0.34073±0.00696 -0.00137 0.01932±0.00048 0.01887±0.00325 0.02318±0.16981 0.03439 0.07686 0.08208 0.12005 0.02442 0.008588 16 0.37819±0.00993 -0.00002 0.00345±0.00009 0.00292±0.00097 0.15491±0.28207 0.04435 0.11260 0.14331 0.20961 0.02113 0.000009 11 0.38317±0.09721 -0.00003 0.00279±0.00007 0.00006±0.00003 0.98002±0.01024 0.00795 0.00639 0.00044 0.00065 0.00050 0.952849 12 0.42791±0.08262 0.00028 0.00467±0.00012 0.00015±0.00007 0.96797±0.01471 0.01096 0.00860 0.00262 0.00384 0.00080 0.951889 13 0.35419±0.05792 -0.00004 0.00628±0.00016 0.00018±0.00008 0.97148±0.01353 0.00813 0.00982 0.00252 0.00369 0.00071 0.954359 14 0.28393±0.03003 -0.00711 0.00960±0.00024 0.00260±0.00067 0.72874±0.06986 0.03686 0.03508 0.02674 0.03912 0.00678 0.900879 15 0.31287±0.01105 -0.01186 0.02978±0.00074 0.02180±0.00181 0.26801±0.06358 0.03761 0.04073 0.01422 0.02079 0.01830 0.670119 16 0.28217±0.00615 -0.00364 0.03562±0.00089 0.02974±0.00343 0.16508±0.09865 0.02949 0.04376 0.04554 0.06661 0.02087 0.28977Table F.20: Pass 3 Target LD2, Energy 687, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.20577201CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.12801±0.00518 0.02759 0.01543±0.00039 0.00456±0.00093 0.70463±0.06054 0.01358 0.05849 0.00145 0.00164 0.00738 0.787831 4 0.12184±0.00434 0.05839 0.01097±0.00027 0.00284±0.00031 0.74162±0.02893 0.01046 0.02612 0.00123 0.00138 0.00646 0.743831 5 0.13534±0.00334 0.00223 0.00730±0.00018 0.00301±0.00034 0.58815±0.04727 0.01139 0.01447 0.02805 0.03167 0.01030 0.613311 6 0.13945±0.00382 -0.07490 0.00529±0.00013 0.00368±0.00108 0.30466±0.20481 0.02078 0.03053 0.13308 0.15023 0.01738 0.555241 7 0.14960±0.00290 -0.02579 0.00688±0.00017 0.00607±0.00053 0.11806±0.07970 0.01925 0.03817 0.04214 0.04757 0.02205 0.112111 8 0.19092±0.00445 -0.00251 0.00452±0.00011 0.00461±0.00045 -0.02030±0.10383 0.02745 0.05995 0.05042 0.05692 0.02551 0.047881 9 0.30547±0.01027 -0.00061 0.00196±0.00005 0.00214±0.00035 -0.09321±0.18322 0.04366 0.08749 0.10113 0.11417 0.02733 0.000232 4 0.10451±0.00493 0.01553 0.00826±0.00021 0.00237±0.00062 0.71309±0.07587 0.01566 0.05685 0.03129 0.03532 0.00717 0.806772 5 0.13317±0.00511 0.04366 0.01000±0.00025 0.00279±0.00033 0.72058±0.03414 0.01228 0.02881 0.00774 0.00873 0.00699 0.748882 6 0.14628±0.00381 0.02250 0.00623±0.00016 0.00284±0.00017 0.54339±0.02960 0.01345 0.01955 0.00896 0.01012 0.01142 0.634942 7 0.16254±0.00384 -0.05801 0.00543±0.00014 0.00381±0.00104 0.29859±0.19227 0.01799 0.02774 0.12505 0.14117 0.01754 0.507092 8 0.17979±0.00362 -0.01217 0.00589±0.00015 0.00502±0.00052 0.14647±0.09085 0.01921 0.03589 0.05196 0.05866 0.02134 0.100562 9 0.17847±0.00388 -0.00303 0.00595±0.00015 0.00541±0.00062 0.09044±0.10721 0.02290 0.04363 0.06131 0.06921 0.02274 0.024272 10 0.21894±0.00635 -0.00060 0.00242±0.00006 0.00260±0.00077 -0.07070±0.31701 0.03762 0.06700 0.20317 0.22935 0.02677 0.110513 5 0.09945±0.00425 0.00696 0.00859±0.00021 0.00233±0.00043 0.72918±0.05102 0.01322 0.04763 0.00706 0.00797 0.00677 0.775013 6 0.17518±0.00586 0.04715 0.01376±0.00034 0.00414±0.00044 0.69949±0.03312 0.01132 0.02478 0.01145 0.01293 0.00751 0.702983 7 0.18031±0.00419 -0.00682 0.00922±0.00023 0.00420±0.00074 0.54494±0.08067 0.01164 0.01792 0.05103 0.05760 0.01138 0.616613 8 0.19631±0.00442 -0.07195 0.00698±0.00017 0.00516±0.00096 0.26086±0.13818 0.01823 0.03318 0.08726 0.09851 0.01848 0.319153 9 0.21608±0.00440 -0.01957 0.01035±0.00026 0.00931±0.00060 0.10063±0.06222 0.02069 0.04685 0.01807 0.02040 0.02248 0.178633 10 0.09386±0.00198 -0.00203 0.00364±0.00009 0.00343±0.00109 0.05696±0.30029 0.02338 0.04490 0.19565 0.22086 0.02358 0.049423 11 0.24166±0.00576 -0.00040 0.00330±0.00008 0.00306±0.00107 0.07035±0.32591 0.02736 0.05707 0.21143 0.23868 0.02324 0.003704 6 0.09163±0.00428 0.01164 0.00645±0.00016 0.00155±0.00034 0.76018±0.05270 0.01294 0.03635 0.02347 0.02649 0.00600 0.822204 7 0.17140±0.00528 0.07276 0.01654±0.00041 0.00508±0.00039 0.69259±0.02464 0.01074 0.01979 0.00426 0.00481 0.00769 0.723214 8 0.20780±0.00571 0.00076 0.00972±0.00024 0.00506±0.00062 0.47946±0.06514 0.01588 0.02049 0.03867 0.04366 0.01301 0.511564 9 0.21296±0.00411 -0.07634 0.01122±0.00028 0.00836±0.00155 0.25501±0.13976 0.01571 0.03200 0.08875 0.10019 0.01862 0.350914 10 0.22695±0.00413 -0.02321 0.01381±0.00035 0.01230±0.00060 0.10943±0.04909 0.01840 0.03943 0.00308 0.00348 0.02226 0.050354 11 0.23986±0.00467 -0.00206 0.01120±0.00028 0.01057±0.00173 0.05650±0.15658 0.02170 0.04904 0.09628 0.10869 0.02359 0.022654 12 0.24166±0.00514 -0.00001 0.00290±0.00007 0.00265±0.00088 0.08566±0.30326 0.02389 0.07203 0.19410 0.21911 0.02286 0.016865 7 0.09430±0.00493 0.01510 0.00350±0.00009 0.00089±0.00015 0.74589±0.04336 0.01529 0.02713 0.01955 0.02207 0.00635 0.735155 8 0.17918±0.00603 0.02078 0.01173±0.00029 0.00383±0.00033 0.67323±0.02908 0.01263 0.01866 0.01092 0.01233 0.00817 0.697035 9 0.23025±0.00507 -0.00988 0.01136±0.00028 0.00587±0.00075 0.48312±0.06728 0.01257 0.01986 0.04091 0.04619 0.01292 0.633445 10 0.24434±0.00475 -0.06312 0.01168±0.00029 0.00872±0.00169 0.25345±0.14550 0.01572 0.03170 0.09276 0.10472 0.01866 0.326345 11 0.26625±0.00498 -0.01232 0.01578±0.00039 0.01383±0.00070 0.12371±0.04944 0.01872 0.03919 0.00586 0.00662 0.02191 0.116005 12 0.27054±0.00632 -0.00181 0.00886±0.00022 0.00861±0.00176 0.02886±0.19975 0.02724 0.05101 0.12575 0.14196 0.02428 0.241255 13 0.27546±0.00608 -0.00005 0.00249±0.00006 0.00216±0.00063 0.13065±0.25329 0.02361 0.05500 0.16256 0.18351 0.02173 0.005406 8 0.19427±0.01464 0.01020 0.00216±0.00005 0.00058±0.00010 0.73163±0.04488 0.02299 0.03792 0.00115 0.00130 0.00671 0.701706 9 0.17417±0.00558 0.03262 0.01122±0.00028 0.00332±0.00027 0.70369±0.02490 0.01068 0.01299 0.01114 0.01258 0.00741 0.713626 10 0.26422±0.00529 -0.04881 0.01453±0.00036 0.00870±0.00082 0.40123±0.05816 0.01334 0.02306 0.03281 0.03704 0.01497 0.463686 11 0.29217±0.00573 -0.06828 0.01979±0.00049 0.01629±0.00179 0.17695±0.09276 0.01781 0.03111 0.05506 0.06216 0.02058 0.320976 12 0.30151±0.00574 -0.00916 0.01822±0.00046 0.01732±0.00096 0.04936±0.05768 0.02072 0.04505 0.01156 0.01305 0.02377 0.075676 13 0.31742±0.00690 -0.00092 0.01061±0.00027 0.00985±0.00132 0.07118±0.12706 0.02389 0.04682 0.07514 0.08482 0.02322 0.067266 14 0.29628±0.00770 -0.00012 0.00362±0.00009 0.00324±0.00093 0.10504±0.25781 0.02868 0.08194 0.16029 0.18094 0.02237 0.014297 9 1.12924±0.24256 -0.00045 0.00335±0.00008 0.00071±0.00037 0.78709±0.10942 0.05761 0.09081 0.01290 0.01456 0.00532 0.868847 10 0.21826±0.00921 0.02519 0.00662±0.00017 0.00237±0.00020 0.64247±0.03189 0.01701 0.02119 0.00935 0.01055 0.00894 0.570577 11 0.29262±0.00596 -0.06214 0.01768±0.00044 0.01052±0.00131 0.40485±0.07545 0.01331 0.02105 0.04619 0.05214 0.01488 0.484837 12 0.33925±0.00631 -0.07133 0.02106±0.00053 0.01831±0.00224 0.13059±0.10851 0.01768 0.04076 0.06404 0.07230 0.02174 0.265727 13 0.36235±0.00719 -0.00665 0.02027±0.00051 0.01852±0.00103 0.08638±0.05582 0.02045 0.04142 0.01423 0.01606 0.02284 0.021827 14 0.36613±0.00791 -0.00058 0.01420±0.00036 0.01411±0.00187 0.00618±0.13380 0.02553 0.05089 0.07858 0.08871 0.02485 0.038777 15 0.36970±0.00782 0.00007 0.00539±0.00013 0.00455±0.00098 0.15619±0.18374 0.02190 0.05353 0.11479 0.12959 0.02110 0.009108 10 0.67019±0.14838 -0.00011 0.00650±0.00016 0.00014±0.00009 0.97782±0.01317 0.00586 0.01168 0.00102 0.00115 0.00055 0.954758 11 0.45551±0.04231 0.00459 0.00548±0.00014 0.00202±0.00034 0.63253±0.06258 0.03886 0.04818 0.00031 0.00035 0.00919 0.458298 12 0.32095±0.00650 -0.04054 0.01211±0.00030 0.00745±0.00083 0.38538±0.07009 0.01368 0.02686 0.04070 0.04594 0.01537 0.476188 13 0.33880±0.00620 -0.08779 0.02232±0.00056 0.01797±0.00120 0.19476±0.05724 0.01649 0.03492 0.02464 0.02781 0.02013 0.268658 14 0.35916±0.00683 -0.01927 0.02890±0.00072 0.02660±0.00124 0.07967±0.04855 0.01996 0.03726 0.00425 0.00479 0.02301 0.154808 15 0.38882±0.00771 -0.00179 0.02297±0.00057 0.02376±0.00273 -0.03467±0.12181 0.02426 0.05591 0.06779 0.07653 0.02587 0.008588 16 0.43327±0.01028 -0.00006 0.00478±0.00012 0.00412±0.00082 0.13780±0.17213 0.02513 0.07067 0.10173 0.11484 0.02156 0.000009 11 0.54103±0.14650 -0.00034 0.00370±0.00009 0.00008±0.00003 0.97810±0.00859 0.00683 0.00515 0.00033 0.00037 0.00055 0.952849 12 0.43830±0.07258 -0.00008 0.00508±0.00013 0.00017±0.00005 0.96597±0.00982 0.00672 0.00614 0.00237 0.00268 0.00085 0.951889 13 0.41919±0.07137 0.00004 0.00738±0.00018 0.00024±0.00008 0.96802±0.01043 0.00646 0.00750 0.00211 0.00238 0.00080 0.954359 14 0.32641±0.03448 -0.01551 0.01099±0.00027 0.00269±0.00057 0.75524±0.05225 0.02801 0.02669 0.02293 0.02589 0.00612 0.900879 15 0.33791±0.01237 -0.03455 0.03105±0.00078 0.02302±0.00151 0.25858±0.05204 0.03058 0.03197 0.01339 0.01511 0.01854 0.670119 16 0.31929±0.00694 -0.01170 0.04046±0.00101 0.03552±0.00289 0.12200±0.07477 0.02220 0.03304 0.03937 0.04444 0.02195 0.28977Table F.21: Pass 3 Target LD2, Energy 687, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.77721202CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.30192±0.01180 0.04967 0.03884±0.00097 0.01078±0.00288 0.72255±0.07446 0.01623 0.07233 0.00059 0.00086 0.00694 0.787831 4 0.27992±0.01005 0.03348 0.02347±0.00059 0.00653±0.00094 0.72190±0.04053 0.01494 0.03701 0.00058 0.00085 0.00695 0.743831 5 0.32029±0.00812 -0.01927 0.01517±0.00038 0.00735±0.00056 0.51520±0.03900 0.01758 0.02173 0.01374 0.02010 0.01212 0.613311 6 0.31745±0.00790 -0.05381 0.01249±0.00031 0.00920±0.00139 0.26375±0.11299 0.02400 0.03884 0.05740 0.08395 0.01841 0.555241 7 0.31187±0.00586 -0.01631 0.01475±0.00037 0.01298±0.00096 0.11977±0.06865 0.02393 0.04897 0.02002 0.02928 0.02201 0.112111 8 0.29246±0.00648 -0.00287 0.00719±0.00018 0.00682±0.00072 0.05161±0.10362 0.03317 0.07617 0.03228 0.04722 0.02371 0.047881 9 0.34673±0.01266 -0.00025 0.00202±0.00005 0.00218±0.00046 -0.07920±0.23032 0.06897 0.12720 0.09998 0.14624 0.02698 0.000232 4 0.29412±0.01342 0.01722 0.02441±0.00061 0.00639±0.00186 0.73815±0.07667 0.01906 0.07147 0.01079 0.01578 0.00655 0.806772 5 0.32046±0.01259 0.06440 0.02230±0.00056 0.00663±0.00101 0.70258±0.04579 0.01788 0.04102 0.00353 0.00517 0.00744 0.748882 6 0.35672±0.00988 -0.02372 0.01364±0.00034 0.00701±0.00050 0.48619±0.03857 0.02105 0.02873 0.00417 0.00610 0.01285 0.634942 7 0.36581±0.00831 -0.04898 0.01249±0.00031 0.00949±0.00133 0.23999±0.10854 0.02236 0.03584 0.05540 0.08103 0.01900 0.507092 8 0.36677±0.00723 -0.00728 0.01243±0.00031 0.01066±0.00085 0.14202±0.07143 0.02399 0.04576 0.02506 0.03666 0.02145 0.100562 9 0.32365±0.00712 -0.00095 0.01072±0.00027 0.00937±0.00096 0.12534±0.09247 0.03078 0.05793 0.03465 0.05067 0.02187 0.024272 10 0.29886±0.00935 -0.00002 0.00314±0.00008 0.00300±0.00095 0.04262±0.30472 0.05653 0.09332 0.16001 0.23404 0.02393 0.110513 5 0.27089±0.01140 0.02069 0.02445±0.00061 0.00628±0.00153 0.74315±0.06289 0.01646 0.06019 0.00253 0.00370 0.00642 0.775013 6 0.36810±0.01263 0.06347 0.02701±0.00068 0.00890±0.00108 0.67028±0.04092 0.01641 0.03502 0.00594 0.00869 0.00824 0.702983 7 0.36146±0.00857 -0.03006 0.01695±0.00042 0.00904±0.00100 0.46658±0.06039 0.01711 0.02580 0.02828 0.04136 0.01334 0.616613 8 0.40334±0.00912 -0.03693 0.01448±0.00036 0.01150±0.00131 0.20577±0.09275 0.02394 0.04335 0.04282 0.06263 0.01986 0.319153 9 0.39043±0.00779 -0.00854 0.01908±0.00048 0.01709±0.00130 0.10472±0.07190 0.02621 0.06058 0.00998 0.01460 0.02238 0.178633 10 0.37077±0.00827 -0.00072 0.01360±0.00034 0.01259±0.00161 0.07458±0.12070 0.03442 0.06263 0.05332 0.07799 0.02314 0.049423 11 0.31818±0.00824 0.00002 0.00388±0.00010 0.00322±0.00131 0.17008±0.33859 0.04397 0.08428 0.18304 0.26772 0.02075 0.003704 6 0.25308±0.01176 0.02014 0.01790±0.00045 0.00413±0.00095 0.76939±0.05315 0.01687 0.04770 0.00860 0.01259 0.00577 0.822204 7 0.35709±0.01116 -0.00564 0.03220±0.00081 0.01069±0.00103 0.66815±0.03319 0.01538 0.02794 0.00223 0.00326 0.00830 0.723214 8 0.41415±0.01021 -0.05462 0.01836±0.00046 0.01065±0.00093 0.41965±0.05274 0.01984 0.02852 0.02085 0.03049 0.01451 0.511564 9 0.40900±0.00821 -0.06184 0.02180±0.00054 0.01755±0.00207 0.19509±0.09690 0.02131 0.04172 0.04650 0.06802 0.02012 0.350914 10 0.42295±0.00766 -0.00937 0.02589±0.00065 0.02298±0.00148 0.11226±0.06126 0.02404 0.05171 0.00167 0.00245 0.02219 0.050354 11 0.39106±0.00796 -0.00134 0.01731±0.00043 0.01567±0.00234 0.09448±0.13712 0.03156 0.06826 0.06344 0.09279 0.02264 0.022654 12 0.34901±0.00805 0.00015 0.00355±0.00009 0.00311±0.00110 0.12613±0.31033 0.04032 0.11199 0.16128 0.23590 0.02185 0.016865 7 0.26228±0.01525 0.01493 0.00927±0.00023 0.00241±0.00043 0.74028±0.04678 0.02356 0.03760 0.00752 0.01100 0.00649 0.735155 8 0.38894±0.01298 0.01961 0.02304±0.00058 0.00814±0.00079 0.64687±0.03539 0.01826 0.02721 0.00566 0.00828 0.00883 0.697035 9 0.42079±0.00939 -0.05986 0.01915±0.00048 0.01145±0.00106 0.40194±0.05729 0.01825 0.02841 0.02472 0.03616 0.01495 0.633445 10 0.44694±0.00874 -0.04617 0.02200±0.00055 0.01773±0.00220 0.19381±0.10182 0.02028 0.04063 0.05016 0.07337 0.02015 0.326345 11 0.42351±0.00786 -0.00608 0.02535±0.00063 0.02185±0.00145 0.13821±0.06096 0.02425 0.05119 0.00372 0.00543 0.02154 0.116005 12 0.40361±0.00985 -0.00042 0.01231±0.00031 0.01118±0.00225 0.09188±0.18446 0.04031 0.07227 0.09216 0.13480 0.02270 0.241255 13 0.37169±0.00920 0.00000 0.00270±0.00007 0.00236±0.00078 0.12496±0.28877 0.04335 0.09014 0.15239 0.22289 0.02188 0.005406 8 0.37414±0.02597 0.00225 0.00447±0.00011 0.00112±0.00024 0.74876±0.05385 0.02606 0.04670 0.00057 0.00083 0.00628 0.701706 9 0.34792±0.01076 0.00288 0.02103±0.00053 0.00680±0.00054 0.67672±0.02691 0.01451 0.01826 0.00605 0.00885 0.00808 0.713626 10 0.44694±0.00871 -0.08526 0.02336±0.00058 0.01550±0.00122 0.33642±0.05460 0.01801 0.03202 0.02079 0.03040 0.01659 0.463686 11 0.43172±0.00780 -0.04692 0.03131±0.00078 0.02580±0.00239 0.17619±0.07901 0.02020 0.03833 0.03543 0.05183 0.02060 0.320976 12 0.43081±0.00815 -0.00314 0.02601±0.00065 0.02442±0.00174 0.06130±0.07101 0.02717 0.05950 0.00825 0.01206 0.02347 0.075676 13 0.42109±0.00954 -0.00029 0.01302±0.00033 0.01183±0.00174 0.09116±0.13577 0.03553 0.06677 0.06234 0.09118 0.02272 0.067266 14 0.37103±0.01070 0.00008 0.00375±0.00009 0.00326±0.00117 0.12848±0.31353 0.05078 0.13085 0.15775 0.23074 0.02179 0.014297 9 1.01350±0.18500 0.00029 0.00353±0.00009 0.00048±0.00042 0.86409±0.11830 0.05513 0.10225 0.01249 0.01827 0.00340 0.868847 10 0.41170±0.01760 -0.00785 0.01190±0.00030 0.00456±0.00046 0.61684±0.04014 0.02388 0.02935 0.00530 0.00775 0.00958 0.570577 11 0.44924±0.00969 -0.08828 0.02595±0.00065 0.01750±0.00173 0.32557±0.06876 0.01943 0.02904 0.03204 0.04686 0.01686 0.484837 12 0.45977±0.00841 -0.03375 0.02986±0.00075 0.02709±0.00295 0.09256±0.10139 0.02193 0.05141 0.04600 0.06728 0.02269 0.265727 13 0.46210±0.00918 -0.00242 0.02596±0.00065 0.02411±0.00166 0.07150±0.06801 0.02690 0.05441 0.01131 0.01654 0.02321 0.021827 14 0.44368±0.00987 -0.00056 0.01631±0.00041 0.01528±0.00240 0.06308±0.14884 0.03660 0.07085 0.06969 0.10193 0.02342 0.038777 15 0.40998±0.00955 -0.00010 0.00492±0.00012 0.00411±0.00121 0.16484±0.24652 0.03867 0.08580 0.12805 0.18730 0.02088 0.009108 10 0.77290±0.16850 -0.00006 0.00780±0.00019 0.00015±0.00013 0.98112±0.01659 0.00731 0.01480 0.00087 0.00127 0.00047 0.954758 11 0.66858±0.06204 -0.00317 0.00777±0.00019 0.00295±0.00066 0.62001±0.08508 0.05304 0.06583 0.00022 0.00033 0.00950 0.458298 12 0.50812±0.01112 -0.05946 0.01858±0.00046 0.01271±0.00118 0.31580±0.06581 0.02016 0.03660 0.02703 0.03953 0.01710 0.476188 13 0.46633±0.00831 -0.05594 0.03134±0.00078 0.02568±0.00185 0.18042±0.06241 0.02079 0.04517 0.01787 0.02614 0.02049 0.268658 14 0.45332±0.00861 -0.00860 0.03683±0.00092 0.03337±0.00205 0.09394±0.06001 0.02606 0.04870 0.00339 0.00496 0.02265 0.154808 15 0.43093±0.00881 -0.00137 0.02433±0.00061 0.02387±0.00348 0.01899±0.14522 0.03455 0.07719 0.06518 0.09533 0.02453 0.008588 16 0.41535±0.01093 -0.00002 0.00372±0.00009 0.00320±0.00099 0.13965±0.26656 0.04524 0.11463 0.13285 0.19431 0.02151 0.000009 11 0.48867±0.12370 -0.00003 0.00359±0.00009 0.00007±0.00004 0.98023±0.01010 0.00784 0.00632 0.00034 0.00050 0.00049 0.952849 12 0.59890±0.11577 0.00028 0.00650±0.00016 0.00021±0.00009 0.96775±0.01445 0.01105 0.00866 0.00189 0.00276 0.00081 0.951889 13 0.50318±0.08231 -0.00004 0.00888±0.00022 0.00025±0.00012 0.97134±0.01322 0.00817 0.00987 0.00178 0.00261 0.00072 0.954359 14 0.42393±0.04483 -0.00711 0.01432±0.00036 0.00389±0.00086 0.72861±0.06037 0.03687 0.03509 0.01792 0.02621 0.00678 0.900879 15 0.42807±0.01512 -0.01186 0.04095±0.00102 0.02982±0.00238 0.27182±0.06089 0.03740 0.04052 0.01034 0.01512 0.01820 0.670119 16 0.37661±0.00821 -0.00364 0.04773±0.00119 0.03969±0.00381 0.16845±0.08258 0.02936 0.04358 0.03398 0.04971 0.02079 0.28977Table F.22: Pass 3 Target LD2, Energy 687, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.20577203CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.15069±0.00596 0.05005 0.01842±0.00046 0.00538±0.00160 0.70775±0.08710 0.01921 0.08460 0.00125 0.00201 0.00731 0.787831 4 0.13341±0.00484 0.03374 0.01140±0.00029 0.00311±0.00050 0.72693±0.04418 0.01646 0.04036 0.00121 0.00195 0.00683 0.743831 5 0.14105±0.00357 -0.01942 0.00728±0.00018 0.00328±0.00045 0.54867±0.06279 0.01792 0.02217 0.02887 0.04657 0.01128 0.613311 6 0.14895±0.00369 -0.05423 0.00612±0.00015 0.00448±0.00140 0.26699±0.23022 0.02544 0.04139 0.11818 0.19063 0.01833 0.555241 7 0.15744±0.00296 -0.01643 0.00760±0.00019 0.00663±0.00072 0.12800±0.09759 0.02608 0.05333 0.03916 0.06317 0.02180 0.112111 8 0.16373±0.00365 -0.00289 0.00392±0.00010 0.00376±0.00058 0.04088±0.14976 0.03810 0.08698 0.05970 0.09630 0.02398 0.047881 9 0.24606±0.00928 -0.00025 0.00137±0.00003 0.00147±0.00045 -0.07187±0.32990 0.08278 0.14785 0.14847 0.23950 0.02680 0.000232 4 0.14181±0.00657 0.01736 0.01128±0.00028 0.00302±0.00109 0.73201±0.09699 0.02243 0.08287 0.02352 0.03794 0.00670 0.806772 5 0.14936±0.00596 0.06490 0.01056±0.00026 0.00307±0.00054 0.70887±0.05165 0.01989 0.04490 0.00752 0.01214 0.00728 0.748882 6 0.16057±0.00443 -0.02390 0.00656±0.00016 0.00317±0.00027 0.51678±0.04230 0.02180 0.02989 0.00874 0.01409 0.01208 0.634942 7 0.17408±0.00391 -0.04936 0.00639±0.00016 0.00470±0.00135 0.26365±0.21245 0.02287 0.03705 0.10913 0.17604 0.01841 0.507092 8 0.18492±0.00366 -0.00733 0.00635±0.00016 0.00547±0.00070 0.13864±0.11181 0.02644 0.05022 0.04947 0.07980 0.02153 0.100562 9 0.18119±0.00403 -0.00096 0.00577±0.00014 0.00514±0.00083 0.10840±0.14643 0.03602 0.06698 0.06488 0.10466 0.02229 0.024272 10 0.18006±0.00579 -0.00002 0.00176±0.00004 0.00167±0.00099 0.05045±0.56259 0.06946 0.11159 0.28794 0.46449 0.02374 0.110513 5 0.12576±0.00537 0.02085 0.01111±0.00028 0.00290±0.00080 0.73880±0.07198 0.01893 0.06831 0.00560 0.00903 0.00653 0.775013 6 0.17355±0.00606 0.06396 0.01292±0.00032 0.00424±0.00063 0.67160±0.04938 0.01828 0.03837 0.01252 0.02020 0.00821 0.702983 7 0.16794±0.00396 -0.03030 0.00839±0.00021 0.00433±0.00096 0.48422±0.11469 0.01774 0.02693 0.05759 0.09290 0.01289 0.616613 8 0.18248±0.00409 -0.03722 0.00710±0.00018 0.00538±0.00124 0.24207±0.17563 0.02432 0.04447 0.08804 0.14202 0.01895 0.319153 9 0.20151±0.00404 -0.00861 0.00995±0.00025 0.00888±0.00081 0.10816±0.08433 0.02895 0.06662 0.01928 0.03110 0.02230 0.178633 10 0.20173±0.00457 -0.00072 0.00717±0.00018 0.00662±0.00151 0.07604±0.21168 0.04015 0.07191 0.10202 0.16457 0.02310 0.049423 11 0.20520±0.00552 0.00002 0.00236±0.00006 0.00185±0.00138 0.21554±0.58765 0.05389 0.09945 0.30366 0.48984 0.01961 0.003704 6 0.13062±0.00614 0.02030 0.00897±0.00022 0.00210±0.00060 0.76608±0.06688 0.01953 0.05458 0.01730 0.02790 0.00585 0.822204 7 0.19520±0.00619 -0.00568 0.01777±0.00044 0.00586±0.00064 0.66997±0.03702 0.01720 0.03077 0.00407 0.00657 0.00825 0.723214 8 0.21095±0.00518 -0.05505 0.01004±0.00025 0.00555±0.00082 0.44706±0.08242 0.02045 0.02951 0.03841 0.06195 0.01382 0.511564 9 0.22059±0.00439 -0.06232 0.01239±0.00031 0.00981±0.00203 0.20812±0.16526 0.02230 0.04400 0.08245 0.13300 0.01980 0.350914 10 0.23414±0.00427 -0.00945 0.01410±0.00035 0.01274±0.00091 0.09678±0.06859 0.02737 0.05841 0.00309 0.00499 0.02258 0.050354 11 0.25233±0.00524 -0.00135 0.01052±0.00026 0.00968±0.00230 0.07990±0.21980 0.03800 0.08054 0.10519 0.16968 0.02300 0.022654 12 0.24878±0.00595 0.00015 0.00239±0.00006 0.00199±0.00115 0.16611±0.48081 0.04932 0.13207 0.24195 0.39030 0.02085 0.016865 7 0.16202±0.00955 0.01505 0.00571±0.00014 0.00147±0.00031 0.74261±0.05525 0.02662 0.04191 0.01230 0.01985 0.00643 0.735155 8 0.21167±0.00713 0.01977 0.01309±0.00033 0.00438±0.00052 0.66502±0.04072 0.01962 0.02898 0.01004 0.01620 0.00837 0.697035 9 0.23378±0.00518 -0.06033 0.01150±0.00029 0.00654±0.00099 0.43163±0.08720 0.01863 0.02922 0.04149 0.06693 0.01421 0.633445 10 0.25229±0.00493 -0.04653 0.01310±0.00033 0.01045±0.00220 0.20268±0.16924 0.02133 0.04280 0.08489 0.13693 0.01993 0.326345 11 0.27539±0.00517 -0.00612 0.01604±0.00040 0.01417±0.00106 0.11683±0.06942 0.02802 0.05848 0.00592 0.00955 0.02208 0.116005 12 0.28613±0.00717 -0.00042 0.00796±0.00020 0.00742±0.00232 0.06795±0.29186 0.05041 0.08808 0.14366 0.23174 0.02330 0.241255 13 0.28843±0.00752 0.00000 0.00193±0.00005 0.00165±0.00082 0.14604±0.42622 0.05512 0.10878 0.21489 0.34664 0.02135 0.005406 8 0.24007±0.01643 0.00227 0.00299±0.00007 0.00072±0.00017 0.75856±0.05720 0.02741 0.04981 0.00085 0.00138 0.00604 0.701706 9 0.21484±0.00663 0.00290 0.01380±0.00034 0.00424±0.00042 0.69259±0.03106 0.01514 0.01910 0.00930 0.01500 0.00769 0.713626 10 0.27619±0.00533 -0.08593 0.01559±0.00039 0.00979±0.00110 0.37204±0.07225 0.01837 0.03295 0.03139 0.05064 0.01570 0.463686 11 0.29865±0.00538 -0.04729 0.02204±0.00055 0.01836±0.00236 0.16676±0.10930 0.02202 0.04187 0.05074 0.08185 0.02083 0.320976 12 0.32217±0.00617 -0.00316 0.01876±0.00047 0.01815±0.00148 0.03270±0.08227 0.03172 0.06855 0.01152 0.01858 0.02418 0.075676 13 0.34191±0.00791 -0.00029 0.00980±0.00025 0.00917±0.00179 0.06389±0.18422 0.04347 0.08005 0.08346 0.13463 0.02340 0.067266 14 0.32117±0.00973 0.00008 0.00292±0.00007 0.00253±0.00124 0.13259±0.42572 0.06596 0.16173 0.20424 0.32946 0.02169 0.014297 9 0.83335±0.14306 0.00029 0.00304±0.00008 0.00034±0.00038 0.88936±0.12454 0.05490 0.10827 0.01458 0.02353 0.00277 0.868847 10 0.30548±0.01317 -0.00791 0.00894±0.00022 0.00341±0.00039 0.61835±0.04481 0.02642 0.03221 0.00710 0.01146 0.00954 0.570577 11 0.31647±0.00675 -0.08897 0.01963±0.00049 0.01274±0.00174 0.35082±0.09017 0.01989 0.03007 0.04270 0.06888 0.01623 0.484837 12 0.33832±0.00618 -0.03401 0.02240±0.00056 0.02066±0.00296 0.07744±0.13417 0.02389 0.05605 0.06180 0.09969 0.02306 0.265727 13 0.36517±0.00736 -0.00244 0.01981±0.00050 0.01922±0.00150 0.03015±0.07936 0.03139 0.06262 0.01494 0.02409 0.02425 0.021827 14 0.37053±0.00839 -0.00057 0.01267±0.00032 0.01210±0.00249 0.04491±0.19785 0.04452 0.08465 0.09039 0.14581 0.02388 0.038777 15 0.37414±0.00910 -0.00010 0.00403±0.00010 0.00338±0.00129 0.16057±0.32208 0.05004 0.10629 0.15762 0.25426 0.02099 0.009108 10 0.61516±0.13253 -0.00006 0.00621±0.00016 0.00011±0.00011 0.98216±0.01843 0.00803 0.01646 0.00110 0.00177 0.00045 0.954758 11 0.57300±0.05324 -0.00320 0.00677±0.00017 0.00253±0.00063 0.62652±0.09294 0.05806 0.07197 0.00026 0.00042 0.00934 0.458298 12 0.39164±0.00845 -0.05992 0.01539±0.00038 0.01010±0.00117 0.34364±0.07755 0.02053 0.03783 0.03287 0.05303 0.01641 0.476188 13 0.36499±0.00648 -0.05638 0.02550±0.00064 0.02042±0.00173 0.19906±0.07063 0.02214 0.04830 0.02214 0.03571 0.02002 0.268658 14 0.37979±0.00728 -0.00866 0.03007±0.00075 0.02788±0.00191 0.07279±0.06773 0.03002 0.05555 0.00419 0.00676 0.02318 0.154808 15 0.40927±0.00853 -0.00139 0.02160±0.00054 0.02165±0.00373 -0.00244±0.17470 0.04186 0.09177 0.07399 0.11935 0.02506 0.008588 16 0.46492±0.01287 -0.00002 0.00384±0.00010 0.00323±0.00111 0.15865±0.28946 0.05745 0.13848 0.12999 0.20969 0.02103 0.000009 11 0.54395±0.13643 -0.00003 0.00400±0.00010 0.00008±0.00004 0.98048±0.01117 0.00864 0.00703 0.00031 0.00050 0.00049 0.952849 12 0.53682±0.10118 0.00028 0.00617±0.00015 0.00018±0.00009 0.97125±0.01500 0.01130 0.00907 0.00200 0.00323 0.00072 0.951889 13 0.43582±0.07025 -0.00004 0.00791±0.00020 0.00021±0.00011 0.97349±0.01431 0.00871 0.01067 0.00202 0.00326 0.00066 0.954359 14 0.36950±0.03912 -0.00717 0.01259±0.00031 0.00354±0.00086 0.71915±0.06870 0.04068 0.03867 0.02054 0.03314 0.00702 0.900879 15 0.37142±0.01318 -0.01195 0.03464±0.00087 0.02612±0.00233 0.24604±0.06980 0.04285 0.04620 0.01231 0.01986 0.01885 0.670119 16 0.34844±0.00767 -0.00367 0.04214±0.00105 0.03584±0.00404 0.14967±0.09818 0.03453 0.05076 0.03879 0.06257 0.02126 0.28977Table F.23: Pass 3 Target LD2, Energy 687, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.39097204CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.29516±0.01136 0.05126 0.03741±0.00094 0.01058±0.00414 0.71724±0.11077 0.02383 0.10793 0.00063 0.00131 0.00707 0.787831 4 0.26195±0.01008 0.03455 0.01956±0.00049 0.00613±0.00130 0.68654±0.06706 0.02644 0.06110 0.00072 0.00151 0.00784 0.743831 5 0.30386±0.00761 -0.01989 0.01303±0.00033 0.00738±0.00077 0.43356±0.06080 0.02821 0.03528 0.01651 0.03440 0.01416 0.613311 6 0.29107±0.00700 -0.05554 0.01248±0.00031 0.00977±0.00187 0.21712±0.15132 0.03132 0.05242 0.05930 0.12357 0.01957 0.555241 7 0.25280±0.00470 -0.01683 0.01238±0.00031 0.01100±0.00119 0.11146±0.09844 0.03359 0.06952 0.02461 0.05128 0.02221 0.112111 8 0.17015±0.00381 -0.00296 0.00398±0.00010 0.00371±0.00075 0.06633±0.19093 0.05180 0.11775 0.06021 0.12545 0.02334 0.047881 9 0.27373±0.01286 -0.00026 0.00103±0.00003 0.00136±0.00060 -0.32187±0.58444 0.20108 0.28833 0.20152 0.41988 0.03305 0.000232 4 0.33462±0.01540 0.01778 0.02709±0.00068 0.00671±0.00309 0.75235±0.11410 0.02897 0.10772 0.01003 0.02090 0.00619 0.806772 5 0.30901±0.01307 0.06646 0.01927±0.00048 0.00624±0.00144 0.67614±0.07543 0.03159 0.06731 0.00422 0.00879 0.00810 0.748882 6 0.34527±0.00927 -0.02448 0.01232±0.00031 0.00691±0.00070 0.43925±0.05830 0.03214 0.04525 0.00476 0.00992 0.01402 0.634942 7 0.33538±0.00729 -0.05055 0.01282±0.00032 0.01019±0.00179 0.20560±0.14127 0.02809 0.04705 0.05568 0.11602 0.01986 0.507092 8 0.33119±0.00656 -0.00751 0.01136±0.00028 0.01029±0.00113 0.09444±0.10213 0.03502 0.06645 0.02829 0.05895 0.02264 0.100562 9 0.25197±0.00574 -0.00098 0.00779±0.00019 0.00670±0.00120 0.13971±0.15571 0.05021 0.09126 0.04921 0.10253 0.02151 0.024272 10 0.17045±0.00621 -0.00002 0.00145±0.00004 0.00116±0.00123 0.19583±0.85205 0.11961 0.16939 0.35748 0.74485 0.02010 0.110513 5 0.34620±0.01464 0.02135 0.03077±0.00077 0.00789±0.00287 0.74366±0.09351 0.02467 0.08984 0.00207 0.00432 0.00641 0.775013 6 0.35808±0.01324 0.06550 0.02347±0.00059 0.00903±0.00156 0.61533±0.06726 0.02909 0.05761 0.00706 0.01470 0.00962 0.702983 7 0.35174±0.00806 -0.03102 0.01580±0.00040 0.00987±0.00136 0.37516±0.08766 0.02535 0.03958 0.03129 0.06520 0.01562 0.616613 8 0.37464±0.00808 -0.03812 0.01515±0.00038 0.01217±0.00177 0.19650±0.11845 0.02980 0.05659 0.04225 0.08804 0.02009 0.319153 9 0.36127±0.00726 -0.00882 0.01772±0.00044 0.01625±0.00177 0.08294±0.10274 0.03870 0.08875 0.01109 0.02311 0.02293 0.178633 10 0.32890±0.00776 -0.00074 0.01078±0.00027 0.00964±0.00216 0.10613±0.20109 0.05989 0.10303 0.06941 0.14463 0.02235 0.049423 11 0.23033±0.00710 0.00002 0.00232±0.00006 0.00128±0.00174 0.44641±0.75143 0.09317 0.15003 0.31597 0.65836 0.01384 0.003704 6 0.40455±0.01946 0.02079 0.02760±0.00069 0.00620±0.00217 0.77539±0.07875 0.02662 0.07269 0.00576 0.01200 0.00562 0.822204 7 0.36376±0.01221 -0.00582 0.02915±0.00073 0.01105±0.00157 0.62089±0.05483 0.02733 0.04621 0.00254 0.00530 0.00948 0.723214 8 0.40841±0.00967 -0.05637 0.01733±0.00043 0.01151±0.00129 0.33626±0.07629 0.02925 0.04378 0.02278 0.04747 0.01659 0.511564 9 0.39409±0.00750 -0.06382 0.02340±0.00058 0.01946±0.00281 0.16808±0.12189 0.02667 0.05507 0.04472 0.09317 0.02080 0.350914 10 0.40118±0.00736 -0.00967 0.02412±0.00060 0.02191±0.00207 0.09151±0.08863 0.03647 0.07740 0.00185 0.00386 0.02271 0.050354 11 0.36474±0.00796 -0.00138 0.01359±0.00034 0.01205±0.00318 0.11290±0.23526 0.05915 0.11921 0.08339 0.17375 0.02218 0.022654 12 0.29088±0.00782 0.00016 0.00223±0.00006 0.00152±0.00147 0.31790±0.65745 0.09175 0.21865 0.26522 0.55262 0.01705 0.016865 7 0.55145±0.03456 0.01541 0.01806±0.00045 0.00482±0.00131 0.73332±0.07288 0.04029 0.05966 0.00398 0.00830 0.00667 0.735155 8 0.42073±0.01475 0.02024 0.02227±0.00056 0.00845±0.00126 0.62066±0.05731 0.03155 0.04477 0.00604 0.01259 0.00948 0.697035 9 0.40767±0.00873 -0.06178 0.01813±0.00045 0.01233±0.00145 0.31993±0.08177 0.02633 0.04274 0.02694 0.05614 0.01700 0.633445 10 0.41448±0.00791 -0.04765 0.02260±0.00056 0.01937±0.00296 0.14260±0.13276 0.02628 0.05393 0.05040 0.10501 0.02144 0.326345 11 0.38616±0.00733 -0.00627 0.02218±0.00055 0.01969±0.00195 0.11235±0.09050 0.03799 0.07844 0.00438 0.00913 0.02219 0.116005 12 0.36124±0.00960 -0.00043 0.00852±0.00021 0.00739±0.00303 0.13334±0.35669 0.08345 0.13742 0.13745 0.28638 0.02167 0.241255 13 0.32846±0.01022 0.00000 0.00157±0.00004 0.00122±0.00105 0.22209±0.66737 0.12169 0.20114 0.27012 0.56283 0.01945 0.005406 8 0.69921±0.04501 0.00232 0.00899±0.00022 0.00211±0.00065 0.76544±0.07203 0.03301 0.06375 0.00029 0.00061 0.00586 0.701706 9 0.41851±0.01261 0.00297 0.02470±0.00062 0.00852±0.00091 0.65511±0.03786 0.02127 0.02749 0.00532 0.01108 0.00862 0.713626 10 0.43631±0.00813 -0.08799 0.02296±0.00057 0.01649±0.00168 0.28174±0.07541 0.02516 0.04676 0.02183 0.04548 0.01796 0.463686 11 0.40731±0.00711 -0.04842 0.03194±0.00080 0.02723±0.00324 0.14750±0.10363 0.02655 0.05211 0.03585 0.07469 0.02131 0.320976 12 0.40740±0.00791 -0.00324 0.02313±0.00058 0.02253±0.00243 0.02583±0.10788 0.04361 0.09303 0.00957 0.01994 0.02435 0.075676 13 0.38792±0.00942 -0.00030 0.00959±0.00024 0.00889±0.00236 0.07361±0.24744 0.06997 0.12274 0.08732 0.18195 0.02316 0.067266 14 0.35116±0.01242 0.00009 0.00249±0.00006 0.00176±0.00160 0.29279±0.64218 0.13037 0.27378 0.24481 0.51010 0.01768 0.014297 9 0.88707±0.12898 0.00030 0.00377±0.00009 0.00017±0.00052 0.95501±0.13695 0.05291 0.12319 0.01207 0.02515 0.00112 0.868847 10 0.61906±0.02705 -0.00810 0.01694±0.00042 0.00710±0.00102 0.58060±0.06084 0.03789 0.04558 0.00384 0.00800 0.01049 0.570577 11 0.44968±0.00926 -0.09110 0.02712±0.00068 0.01991±0.00238 0.26586±0.08965 0.02612 0.04089 0.03164 0.06592 0.01835 0.484837 12 0.42909±0.00766 -0.03483 0.03012±0.00075 0.02906±0.00399 0.03521±0.13471 0.02909 0.06993 0.04706 0.09805 0.02412 0.265727 13 0.42856±0.00875 -0.00250 0.02290±0.00057 0.02316±0.00227 -0.01127±0.10232 0.04270 0.08410 0.01323 0.02757 0.02528 0.021827 14 0.40169±0.00944 -0.00058 0.01214±0.00030 0.01091±0.00323 0.10105±0.26685 0.06918 0.12671 0.09662 0.20132 0.02247 0.038777 15 0.38659±0.01074 -0.00010 0.00325±0.00008 0.00231±0.00164 0.28704±0.50617 0.09688 0.18016 0.20018 0.41710 0.01782 0.009108 10 0.58999±0.12094 -0.00006 0.00625±0.00016 0.00009±0.00014 0.98609±0.02301 0.00963 0.02074 0.00112 0.00232 0.00035 0.954758 11 0.95286±0.08787 -0.00327 0.01075±0.00027 0.00420±0.00137 0.60958±0.12809 0.07983 0.09969 0.00017 0.00035 0.00976 0.458298 12 0.59692±0.01215 -0.06136 0.02352±0.00059 0.01685±0.00178 0.28361±0.07784 0.02558 0.04992 0.02203 0.04590 0.01791 0.476188 13 0.45526±0.00787 -0.05773 0.03302±0.00083 0.02670±0.00259 0.19129±0.08114 0.02746 0.06152 0.01750 0.03647 0.02022 0.268658 14 0.42791±0.00823 -0.00887 0.03380±0.00084 0.03115±0.00285 0.07826±0.08733 0.03992 0.07364 0.00382 0.00795 0.02304 0.154808 15 0.44016±0.00950 -0.00142 0.02131±0.00053 0.01991±0.00490 0.06572±0.23122 0.06255 0.13232 0.07679 0.16000 0.02336 0.008588 16 0.53705±0.01730 -0.00002 0.00354±0.00009 0.00244±0.00149 0.30998±0.41983 0.11073 0.22927 0.14424 0.30055 0.01725 0.000009 11 0.47428±0.11230 -0.00003 0.00373±0.00009 0.00007±0.00005 0.98255±0.01332 0.01007 0.00868 0.00034 0.00071 0.00044 0.952849 12 0.55417±0.09641 0.00029 0.00666±0.00017 0.00015±0.00012 0.97743±0.01804 0.01319 0.01148 0.00190 0.00396 0.00056 0.951889 13 0.46901±0.07367 -0.00004 0.00858±0.00021 0.00019±0.00016 0.97788±0.01844 0.01114 0.01401 0.00191 0.00397 0.00055 0.954359 14 0.44442±0.04663 -0.00734 0.01520±0.00038 0.00481±0.00128 0.68382±0.08430 0.05313 0.05097 0.01743 0.03632 0.00790 0.900879 15 0.45885±0.01615 -0.01224 0.04396±0.00110 0.03321±0.00369 0.24463±0.08612 0.05473 0.05948 0.00994 0.02070 0.01888 0.670119 16 0.41474±0.00931 -0.00376 0.04959±0.00124 0.03940±0.00564 0.20541±0.11540 0.04714 0.06791 0.03376 0.07034 0.01986 0.28977Table F.24: Pass 3 Target LD2, Energy 687, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.96435205CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.53026±0.00716 0.04500 0.06327±0.00158 0.05396±0.00383 0.14706±0.06421 0.01904 0.05450 0.00942 0.01571 0.02132 0.423681 4 0.51768±0.00615 0.17734 0.06286±0.00157 0.05123±0.00531 0.18495±0.08688 0.01307 0.04107 0.03735 0.06230 0.02038 0.367331 5 0.52693±0.00562 0.44624 0.11075±0.00277 0.10091±0.01252 0.08881±0.11528 0.01196 0.04321 0.05334 0.08897 0.02278 0.269681 6 0.54465±0.00527 0.41981 0.17558±0.00439 0.15983±0.01344 0.08968±0.07985 0.01261 0.04371 0.03165 0.05279 0.02276 0.054421 7 0.54322±0.00524 -0.22445 0.15997±0.00400 0.14103±0.00953 0.11836±0.06352 0.01654 0.04439 0.01858 0.03098 0.02204 0.027451 8 0.44874±0.00655 -0.30860 0.04896±0.00122 0.03992±0.00895 0.18461±0.18403 0.03010 0.07878 0.08345 0.13919 0.02038 0.001931 9 0.47385±0.01247 -0.08229 0.00768±0.00019 0.00641±0.00235 0.16585±0.30614 0.06835 0.11211 0.14181 0.23651 0.02085 0.028592 4 0.53225±0.00898 -0.01410 0.03926±0.00098 0.03223±0.00298 0.17904±0.07861 0.02500 0.07105 0.00475 0.00793 0.02052 0.405472 5 0.55105±0.00738 0.13403 0.05644±0.00141 0.04727±0.00446 0.16244±0.08181 0.01574 0.04763 0.03144 0.05243 0.02094 0.351532 6 0.56227±0.00625 0.47187 0.10183±0.00255 0.09561±0.01302 0.06113±0.13001 0.01181 0.04452 0.06134 0.10231 0.02347 0.098262 7 0.63289±0.00691 0.11860 0.17966±0.00449 0.16118±0.01151 0.10285±0.06790 0.01614 0.05965 0.00874 0.01458 0.02243 0.085212 8 0.60561±0.00655 -0.22996 0.12749±0.00319 0.11124±0.00947 0.12744±0.07739 0.01919 0.05467 0.02388 0.03983 0.02181 0.002322 9 0.54873±0.00575 -0.43587 0.06810±0.00170 0.05195±0.01285 0.23706±0.18960 0.02226 0.08907 0.08474 0.14133 0.01907 0.017152 10 0.50979±0.00906 -0.10488 0.00936±0.00023 0.00725±0.00310 0.22558±0.33193 0.04685 0.15604 0.14838 0.24747 0.01936 0.024723 5 0.60038±0.00965 -0.00968 0.04655±0.00116 0.03866±0.00339 0.16956±0.07583 0.02383 0.06872 0.00275 0.00459 0.02076 0.417363 6 0.61541±0.00726 0.13109 0.08000±0.00200 0.06617±0.00495 0.17285±0.06528 0.01443 0.04297 0.02169 0.03618 0.02068 0.314303 7 0.64245±0.00654 0.52753 0.16147±0.00404 0.15328±0.01616 0.05070±0.10286 0.01214 0.05287 0.04325 0.07214 0.02373 0.152503 8 0.66770±0.00689 0.13053 0.20467±0.00512 0.19104±0.01351 0.06658±0.07001 0.01590 0.06192 0.00844 0.01408 0.02334 0.051433 9 0.67661±0.00668 -0.35422 0.18819±0.00470 0.16231±0.01406 0.13751±0.07777 0.01775 0.05403 0.02492 0.04156 0.02156 0.008053 10 0.61787±0.00654 -0.42126 0.07075±0.00177 0.05219±0.01179 0.26242±0.16770 0.02242 0.06152 0.07882 0.13147 0.01844 0.008453 11 0.59696±0.00710 -0.09128 0.01089±0.00027 0.00610±0.00252 0.43931±0.23186 0.02502 0.07964 0.11100 0.18513 0.01402 0.001424 6 0.69109±0.01178 0.01174 0.04777±0.00119 0.03509±0.00336 0.26534±0.07269 0.02130 0.06673 0.00325 0.00542 0.01837 0.430214 7 0.68922±0.00715 0.26421 0.11750±0.00294 0.09850±0.00819 0.16168±0.07280 0.01163 0.03706 0.02977 0.04965 0.02096 0.301394 8 0.67580±0.00663 0.59883 0.18456±0.00461 0.17721±0.01757 0.03979±0.09817 0.01170 0.04412 0.04296 0.07164 0.02401 0.114144 9 0.71414±0.00616 0.30103 0.30200±0.00755 0.28683±0.01518 0.05021±0.05561 0.01299 0.04124 0.01320 0.02201 0.02374 0.014154 10 0.68926±0.00667 -0.52131 0.23001±0.00575 0.19668±0.01830 0.14493±0.08237 0.01788 0.05102 0.03001 0.05004 0.02138 0.007194 11 0.63610±0.00496 -0.52416 0.08168±0.00204 0.05242±0.01463 0.35824±0.17986 0.01588 0.06740 0.08496 0.14170 0.01604 0.012734 12 0.65169±0.00766 -0.06068 0.00950±0.00024 0.00400±0.00178 0.57945±0.18782 0.01960 0.08801 0.08455 0.14102 0.01051 0.025805 7 0.82370±0.01853 0.02039 0.03419±0.00085 0.02396±0.00285 0.29920±0.08523 0.02516 0.07803 0.00789 0.01317 0.01752 0.328715 8 0.73595±0.00878 0.21704 0.09220±0.00231 0.07822±0.00692 0.15172±0.07800 0.01311 0.04231 0.03116 0.05197 0.02121 0.179855 9 0.73180±0.00666 0.62200 0.20770±0.00519 0.20174±0.01848 0.02869±0.09222 0.01102 0.04300 0.03965 0.06612 0.02428 0.092445 10 0.72983±0.00674 0.22128 0.28782±0.00720 0.27474±0.01412 0.04545±0.05457 0.01430 0.04257 0.01018 0.01698 0.02386 0.039765 11 0.74063±0.00744 -0.67852 0.21053±0.00526 0.17690±0.02219 0.15975±0.10747 0.02016 0.06178 0.04267 0.07116 0.02101 0.015385 12 0.56181±0.00458 -0.31315 0.04628±0.00116 0.02331±0.00868 0.49629±0.18800 0.01412 0.06816 0.08957 0.14939 0.01259 0.022455 13 0.72384±0.01001 -0.03436 0.00790±0.00020 0.00236±0.00100 0.70156±0.12710 0.01698 0.05725 0.05757 0.09602 0.00746 0.018956 8 1.17763±0.03957 0.01071 0.02088±0.00052 0.01268±0.00222 0.39281±0.10742 0.03121 0.10080 0.00679 0.01132 0.01518 0.351946 9 0.81972±0.00951 0.36045 0.12098±0.00302 0.11001±0.01063 0.09068±0.09072 0.01214 0.04103 0.03944 0.06578 0.02273 0.219276 10 0.75644±0.00642 0.76099 0.28709±0.00718 0.27122±0.02198 0.05527±0.08011 0.01025 0.03313 0.03509 0.05853 0.02362 0.058536 11 0.79768±0.00649 -0.05564 0.40243±0.01006 0.38081±0.01765 0.05371±0.04984 0.01369 0.04153 0.00183 0.00305 0.02366 0.038976 12 0.73963±0.00658 -0.74409 0.19560±0.00489 0.15365±0.02287 0.21446±0.11855 0.01786 0.06131 0.05036 0.08399 0.01964 0.002486 13 0.67721±0.00578 -0.32517 0.04943±0.00124 0.02693±0.00923 0.45521±0.18718 0.01667 0.07674 0.08709 0.14526 0.01362 0.000006 14 0.72030±0.00920 -0.04729 0.01145±0.00029 0.00350±0.00150 0.69467±0.13143 0.01533 0.07534 0.05467 0.09118 0.00763 0.000007 9 4.13562±0.36986 -0.00502 0.01703±0.00043 0.00614±0.00366 0.63962±0.21519 0.08088 0.19907 0.00390 0.00651 0.00901 0.493977 10 0.94299±0.01240 0.26217 0.09381±0.00235 0.08387±0.00822 0.10589±0.09041 0.01285 0.04829 0.03700 0.06171 0.02235 0.130967 11 0.82137±0.00684 0.94607 0.36294±0.00907 0.34476±0.02742 0.05009±0.07918 0.00987 0.03324 0.03451 0.05756 0.02375 0.072657 12 0.81007±0.00710 -0.06919 0.36336±0.00908 0.33378±0.01527 0.08140±0.04789 0.01442 0.03916 0.00252 0.00420 0.02297 0.037357 13 0.82916±0.00839 -0.61876 0.19702±0.00493 0.15940±0.01885 0.19095±0.09781 0.02025 0.04701 0.04158 0.06935 0.02023 0.000007 14 0.77844±0.00901 -0.36362 0.06206±0.00155 0.03779±0.01057 0.39100±0.17100 0.02416 0.07532 0.07757 0.12937 0.01523 0.000007 15 0.71134±0.00630 -0.04258 0.01481±0.00037 0.00364±0.00128 0.75429±0.08667 0.00786 0.04401 0.03805 0.06346 0.00614 0.000008 10 1.65876±0.22840 -0.00043 0.00921±0.00023 0.00250±0.00190 0.72847±0.20594 0.06788 0.19431 0.00061 0.00102 0.00679 0.929908 11 1.40102±0.03212 0.12591 0.07012±0.00175 0.06274±0.00601 0.10521±0.08860 0.02304 0.06843 0.02377 0.03965 0.02237 0.462868 12 0.97368±0.01162 0.41936 0.30854±0.00771 0.29590±0.02292 0.04097±0.07807 0.01651 0.06342 0.01799 0.03001 0.02398 0.083558 13 0.87045±0.00797 -0.01005 0.41276±0.01032 0.37836±0.01958 0.08332±0.05269 0.01474 0.04509 0.00032 0.00054 0.02292 0.019268 14 0.83624±0.00742 -0.86222 0.30997±0.00775 0.25609±0.02796 0.17383±0.09254 0.01746 0.05200 0.03683 0.06142 0.02065 0.000008 15 0.74657±0.00796 -0.63921 0.10828±0.00271 0.07617±0.01927 0.29654±0.17880 0.02366 0.08947 0.07815 0.13035 0.01759 0.000588 16 0.72705±0.01055 -0.04291 0.01179±0.00029 0.00324±0.00158 0.72497±0.13419 0.01559 0.09455 0.04818 0.08035 0.00688 0.008999 11 2.24768±0.33305 -0.00348 0.00720±0.00018 0.00113±0.00163 0.84318±0.22643 0.07681 0.21261 0.00641 0.01069 0.00392 0.859559 12 1.67801±0.20040 -0.00308 0.00941±0.00024 0.00090±0.00061 0.90434±0.06516 0.03472 0.05444 0.00434 0.00723 0.00239 0.894069 13 1.98583±0.19017 -0.00353 0.01660±0.00042 0.00236±0.00098 0.85796±0.05932 0.03290 0.04893 0.00282 0.00470 0.00355 0.862479 14 1.66020±0.03765 -0.00808 0.14884±0.00372 0.12023±0.01452 0.19217±0.09965 0.03256 0.09198 0.00072 0.00120 0.02020 0.518049 15 1.01604±0.01014 -0.64933 0.42286±0.01057 0.35228±0.02783 0.16690±0.06902 0.01806 0.04941 0.02033 0.03391 0.02083 0.118639 16 0.86604±0.00688 -1.21151 0.37049±0.00926 0.24886±0.03507 0.32829±0.09615 0.01440 0.04084 0.04329 0.07220 0.01679 0.04287Table F.25: Pass 3 Target LD2, Energy 362, Octant 1, sbfil= 1.00800 ± 0.00500, r= -0.63378.206CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.67194±0.00917 0.04482 0.07936±0.00198 0.06806±0.00460 0.14235±0.06176 0.01869 0.05295 0.00748 0.01204 0.02144 0.423681 4 0.66913±0.00810 0.17664 0.07959±0.00199 0.06498±0.00557 0.18355±0.07292 0.01310 0.04033 0.02938 0.04732 0.02041 0.367331 5 0.66705±0.00722 0.44448 0.13452±0.00336 0.12463±0.01269 0.07349±0.09715 0.01217 0.04331 0.04374 0.07045 0.02316 0.269681 6 0.66007±0.00642 0.41815 0.20627±0.00516 0.19080±0.01403 0.07499±0.07185 0.01259 0.04337 0.02684 0.04322 0.02313 0.054421 7 0.59582±0.00572 -0.22356 0.17191±0.00430 0.15609±0.00976 0.09206±0.06116 0.01617 0.04358 0.01722 0.02773 0.02270 0.027451 8 0.45712±0.00652 -0.30738 0.05024±0.00126 0.04214±0.00871 0.16119±0.17455 0.02809 0.07522 0.08100 0.13045 0.02097 0.001931 9 0.46232±0.01200 -0.08196 0.00713±0.00018 0.00665±0.00226 0.06736±0.31820 0.06815 0.11334 0.15217 0.24507 0.02332 0.028592 4 0.69532±0.01185 -0.01404 0.05095±0.00127 0.04221±0.00374 0.17149±0.07621 0.02445 0.06880 0.00365 0.00588 0.02071 0.405472 5 0.69283±0.00945 0.13350 0.06934±0.00173 0.05846±0.00479 0.15679±0.07230 0.01578 0.04689 0.02549 0.04105 0.02108 0.351532 6 0.68263±0.00774 0.47001 0.11881±0.00297 0.11271±0.01301 0.05138±0.11203 0.01204 0.04455 0.05237 0.08435 0.02372 0.098262 7 0.70545±0.00773 0.11813 0.19582±0.00490 0.17879±0.01227 0.08699±0.06668 0.01594 0.05867 0.00799 0.01286 0.02283 0.085212 8 0.64257±0.00690 -0.22905 0.13506±0.00338 0.11958±0.00948 0.11462±0.07357 0.01835 0.05267 0.02245 0.03616 0.02213 0.002322 9 0.56513±0.00584 -0.43415 0.07043±0.00176 0.05608±0.01253 0.20364±0.17903 0.02100 0.08531 0.08161 0.13144 0.01991 0.017152 10 0.55529±0.00963 -0.10447 0.00932±0.00023 0.00850±0.00307 0.08774±0.32999 0.04811 0.16412 0.14838 0.23897 0.02281 0.024723 5 0.70983±0.01156 -0.00964 0.05414±0.00135 0.04578±0.00386 0.15454±0.07442 0.02361 0.06718 0.00236 0.00380 0.02114 0.417363 6 0.71066±0.00853 0.13057 0.08951±0.00224 0.07544±0.00520 0.15718±0.06178 0.01457 0.04266 0.01931 0.03110 0.02107 0.314303 7 0.70779±0.00730 0.52544 0.17131±0.00428 0.16496±0.01613 0.03705±0.09718 0.01230 0.05280 0.04061 0.06540 0.02407 0.152503 8 0.71311±0.00739 0.13001 0.21460±0.00536 0.20306±0.01383 0.05379±0.06867 0.01564 0.06066 0.00802 0.01292 0.02366 0.051433 9 0.69932±0.00685 -0.35282 0.19508±0.00488 0.17035±0.01384 0.12680±0.07421 0.01688 0.05181 0.02394 0.03856 0.02183 0.008053 10 0.66561±0.00694 -0.41960 0.07564±0.00189 0.05915±0.01157 0.21802±0.15419 0.02139 0.05962 0.07344 0.11827 0.01955 0.008453 11 0.58229±0.00670 -0.09092 0.01026±0.00026 0.00651±0.00244 0.36560±0.23781 0.02410 0.07926 0.11729 0.18890 0.01586 0.001424 6 0.75055±0.01300 0.01169 0.04971±0.00124 0.03802±0.00351 0.23519±0.07320 0.02173 0.06698 0.00311 0.00501 0.01912 0.430214 7 0.73142±0.00772 0.26317 0.11981±0.00300 0.10251±0.00809 0.14438±0.07081 0.01185 0.03710 0.02908 0.04684 0.02139 0.301394 8 0.72197±0.00720 0.59646 0.19035±0.00476 0.18479±0.01730 0.02918±0.09405 0.01184 0.04395 0.04148 0.06681 0.02427 0.114144 9 0.75437±0.00655 0.29984 0.31616±0.00790 0.30061±0.01526 0.04918±0.05380 0.01267 0.04002 0.01256 0.02022 0.02377 0.014154 10 0.73103±0.00701 -0.51925 0.24591±0.00615 0.21258±0.01818 0.13552±0.07701 0.01690 0.04868 0.02795 0.04502 0.02161 0.007194 11 0.62004±0.00478 -0.52209 0.08058±0.00201 0.05449±0.01413 0.32371±0.17622 0.01492 0.06405 0.08578 0.13815 0.01691 0.012734 12 0.59844±0.00687 -0.06044 0.00845±0.00021 0.00405±0.00169 0.52079±0.20093 0.01902 0.08741 0.09470 0.15251 0.01198 0.025805 7 0.83053±0.01899 0.02031 0.03321±0.00083 0.02398±0.00277 0.27774±0.08535 0.02552 0.07792 0.00810 0.01304 0.01806 0.328715 8 0.76886±0.00935 0.21618 0.09253±0.00231 0.07997±0.00681 0.13576±0.07667 0.01338 0.04237 0.03093 0.04981 0.02161 0.179855 9 0.74995±0.00692 0.61954 0.20509±0.00513 0.20186±0.01801 0.01572±0.09122 0.01115 0.04293 0.03999 0.06441 0.02461 0.092445 10 0.76564±0.00709 0.22041 0.29902±0.00748 0.28645±0.01417 0.04204±0.05309 0.01391 0.04134 0.00976 0.01572 0.02395 0.039765 11 0.72354±0.00717 -0.67584 0.20878±0.00522 0.17796±0.02127 0.14765±0.10409 0.01883 0.05854 0.04285 0.06902 0.02131 0.015385 12 0.49454±0.00400 -0.31191 0.04132±0.00103 0.02214±0.00829 0.46407±0.20108 0.01330 0.06464 0.09995 0.16096 0.01340 0.022455 13 0.58198±0.00783 -0.03422 0.00620±0.00015 0.00211±0.00093 0.66020±0.15081 0.01629 0.05646 0.07313 0.11778 0.00850 0.018956 8 1.02515±0.03501 0.01066 0.01755±0.00044 0.01092±0.00187 0.37765±0.10750 0.03159 0.10042 0.00805 0.01296 0.01556 0.351946 9 0.77158±0.00913 0.35902 0.10907±0.00273 0.10064±0.01016 0.07725±0.09597 0.01244 0.04120 0.04358 0.07019 0.02307 0.219276 10 0.76376±0.00658 0.75798 0.28122±0.00703 0.26776±0.02134 0.04784±0.07955 0.01031 0.03284 0.03568 0.05747 0.02380 0.058536 11 0.77183±0.00626 -0.05542 0.38954±0.00974 0.36892±0.01643 0.05293±0.04837 0.01313 0.03993 0.00188 0.00303 0.02368 0.038976 12 0.66672±0.00585 -0.74115 0.18101±0.00453 0.14370±0.02152 0.20614±0.12052 0.01649 0.05744 0.05421 0.08730 0.01985 0.002486 13 0.56019±0.00479 -0.32388 0.04090±0.00102 0.02418±0.00870 0.40872±0.21313 0.01604 0.07379 0.10484 0.16885 0.01478 0.000006 14 0.58775±0.00734 -0.04711 0.00905±0.00023 0.00314±0.00137 0.65239±0.15161 0.01491 0.07487 0.06895 0.11104 0.00869 0.000007 9 2.02124±0.18027 -0.00500 0.00810±0.00020 0.00311±0.00172 0.61637±0.21318 0.07976 0.19685 0.00817 0.01316 0.00959 0.493977 10 0.90941±0.01224 0.26113 0.08706±0.00218 0.07839±0.00787 0.09953±0.09315 0.01314 0.04827 0.03971 0.06396 0.02251 0.130967 11 0.79830±0.00674 0.94233 0.34532±0.00863 0.32718±0.02642 0.05254±0.08009 0.00983 0.03266 0.03613 0.05818 0.02369 0.072657 12 0.76602±0.00671 -0.06892 0.34356±0.00859 0.31619±0.01390 0.07968±0.04654 0.01385 0.03767 0.00266 0.00428 0.02301 0.037357 13 0.73447±0.00734 -0.61632 0.17681±0.00442 0.14595±0.01769 0.17454±0.10213 0.01899 0.04463 0.04615 0.07432 0.02064 0.000007 14 0.67242±0.00768 -0.36218 0.05219±0.00130 0.03521±0.00996 0.32537±0.19162 0.02358 0.07441 0.09188 0.14798 0.01687 0.000007 15 0.53574±0.00472 -0.04241 0.01074±0.00027 0.00298±0.00117 0.72245±0.10895 0.00781 0.04398 0.05229 0.08422 0.00694 0.000008 10 1.48815±0.20516 -0.00042 0.00814±0.00020 0.00225±0.00164 0.72344±0.20119 0.06638 0.18979 0.00069 0.00111 0.00691 0.929908 11 1.25172±0.02912 0.12541 0.06023±0.00151 0.05440±0.00537 0.09671±0.09205 0.02339 0.06845 0.02757 0.04440 0.02258 0.462868 12 0.92329±0.01109 0.41770 0.28831±0.00721 0.27654±0.02122 0.04084±0.07741 0.01623 0.06190 0.01918 0.03089 0.02398 0.083558 13 0.82715±0.00758 -0.01001 0.39140±0.00979 0.35963±0.01790 0.08117±0.05118 0.01423 0.04346 0.00034 0.00055 0.02297 0.019268 14 0.75913±0.00668 -0.85882 0.28357±0.00709 0.23933±0.02617 0.15602±0.09466 0.01654 0.04963 0.04010 0.06457 0.02110 0.000008 15 0.68591±0.00723 -0.63669 0.09946±0.00249 0.07457±0.01827 0.25025±0.18460 0.02251 0.08607 0.08475 0.13649 0.01874 0.000588 16 0.64820±0.00944 -0.04274 0.00986±0.00025 0.00318±0.00145 0.67727±0.14681 0.01605 0.09695 0.05738 0.09242 0.00807 0.008999 11 1.92098±0.28440 -0.00347 0.00601±0.00015 0.00103±0.00134 0.82776±0.22314 0.07559 0.20940 0.00765 0.01232 0.00431 0.859559 12 1.55524±0.18608 -0.00307 0.00866±0.00022 0.00088±0.00055 0.89783±0.06328 0.03370 0.05275 0.00470 0.00756 0.00255 0.894069 13 1.71212±0.16538 -0.00352 0.01359±0.00034 0.00210±0.00082 0.84568±0.06039 0.03363 0.04959 0.00343 0.00553 0.00386 0.862479 14 1.36562±0.03103 -0.00805 0.12013±0.00300 0.09901±0.01149 0.17576±0.09787 0.03198 0.09016 0.00089 0.00143 0.02061 0.518049 15 0.92599±0.00918 -0.64676 0.38727±0.00968 0.32736±0.02536 0.15471±0.06881 0.01717 0.04729 0.02211 0.03561 0.02113 0.118639 16 0.74763±0.00584 -1.20672 0.31526±0.00788 0.22431±0.03308 0.28848±0.10641 0.01381 0.03985 0.05067 0.08161 0.01779 0.04287Table F.26: Pass 3 Target LD2, Energy 362, Octant 2, sbfil= 1.01200 ± 0.00500, r= -0.58187207CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.52442±0.00732 0.04439 0.06200±0.00155 0.05251±0.00332 0.15298±0.05758 0.01728 0.04780 0.00948 0.01393 0.02118 0.423681 4 0.53782±0.00684 0.17492 0.06220±0.00155 0.04977±0.00480 0.19988±0.07968 0.01279 0.03748 0.03723 0.05472 0.02000 0.367331 5 0.52603±0.00593 0.44013 0.10302±0.00258 0.09223±0.01123 0.10473±0.11124 0.01180 0.04030 0.05656 0.08313 0.02238 0.269681 6 0.52238±0.00518 0.41406 0.16264±0.00407 0.14534±0.01181 0.10635±0.07597 0.01163 0.03933 0.03370 0.04954 0.02234 0.054421 7 0.53664±0.00510 -0.22138 0.16016±0.00400 0.14369±0.00833 0.10284±0.05662 0.01398 0.03807 0.01830 0.02689 0.02243 0.027451 8 0.46071±0.00624 -0.30437 0.05415±0.00135 0.04614±0.00804 0.14789±0.15001 0.02254 0.06356 0.07442 0.10937 0.02130 0.001931 9 0.54038±0.01245 -0.08116 0.01019±0.00025 0.00892±0.00214 0.12460±0.21125 0.04472 0.08377 0.10544 0.15496 0.02188 0.028592 4 0.51978±0.00906 -0.01390 0.03815±0.00095 0.03174±0.00254 0.16799±0.06975 0.02254 0.06206 0.00482 0.00709 0.02080 0.405472 5 0.56996±0.00814 0.13219 0.05565±0.00139 0.04612±0.00403 0.17110±0.07533 0.01529 0.04343 0.03145 0.04622 0.02072 0.351532 6 0.54693±0.00650 0.46541 0.09131±0.00228 0.08364±0.01165 0.08397±0.12968 0.01190 0.04197 0.06748 0.09918 0.02290 0.098262 7 0.61849±0.00685 0.11697 0.17097±0.00427 0.15485±0.00983 0.09425±0.06181 0.01461 0.05324 0.00906 0.01331 0.02264 0.085212 8 0.58014±0.00608 -0.22681 0.12614±0.00315 0.11140±0.00813 0.11685±0.06811 0.01565 0.04601 0.02380 0.03498 0.02208 0.002322 9 0.55040±0.00536 -0.42990 0.07322±0.00183 0.06081±0.01148 0.16942±0.15818 0.01677 0.07222 0.07773 0.11424 0.02076 0.017152 10 0.55292±0.00873 -0.10345 0.01185±0.00030 0.00996±0.00282 0.15889±0.23905 0.03098 0.11620 0.11561 0.16992 0.02103 0.024723 5 0.55478±0.00932 -0.00955 0.04180±0.00105 0.03592±0.00274 0.14085±0.06902 0.02229 0.06145 0.00302 0.00444 0.02148 0.417363 6 0.59215±0.00742 0.12929 0.07250±0.00181 0.06086±0.00431 0.16060±0.06304 0.01415 0.03965 0.02361 0.03470 0.02099 0.314303 7 0.62259±0.00665 0.52030 0.14492±0.00362 0.13663±0.01431 0.05720±0.10148 0.01196 0.04961 0.04753 0.06986 0.02357 0.152503 8 0.63970±0.00668 0.12874 0.19333±0.00483 0.18000±0.01132 0.06894±0.06299 0.01419 0.05458 0.00882 0.01296 0.02328 0.051433 9 0.65060±0.00622 -0.34937 0.18845±0.00471 0.16443±0.01213 0.12745±0.06796 0.01434 0.04509 0.02454 0.03607 0.02181 0.008053 10 0.59370±0.00589 -0.41549 0.07673±0.00192 0.05922±0.01051 0.22831±0.13826 0.01617 0.04737 0.07168 0.10535 0.01929 0.008453 11 0.59171±0.00625 -0.09003 0.01288±0.00032 0.00801±0.00226 0.37827±0.17582 0.01618 0.05798 0.09252 0.13597 0.01554 0.001424 6 0.57616±0.01041 0.01157 0.03742±0.00094 0.02901±0.00245 0.22465±0.06837 0.02088 0.06173 0.00410 0.00602 0.01938 0.430214 7 0.65249±0.00721 0.26059 0.10370±0.00259 0.08700±0.00720 0.16106±0.07256 0.01155 0.03455 0.03327 0.04890 0.02097 0.301394 8 0.65445±0.00678 0.59062 0.16647±0.00416 0.15740±0.01562 0.05447±0.09674 0.01151 0.04117 0.04697 0.06903 0.02364 0.114144 9 0.69289±0.00609 0.29690 0.28976±0.00724 0.27073±0.01306 0.06567±0.05075 0.01162 0.03625 0.01357 0.01994 0.02336 0.014154 10 0.66315±0.00619 -0.51417 0.23290±0.00582 0.20176±0.01593 0.13370±0.07174 0.01425 0.04213 0.02923 0.04295 0.02166 0.007194 11 0.58851±0.00425 -0.51698 0.08779±0.00219 0.05968±0.01298 0.32012±0.14886 0.01100 0.05042 0.07797 0.11459 0.01700 0.012734 12 0.59311±0.00634 -0.05985 0.01027±0.00026 0.00494±0.00156 0.51883±0.15255 0.01306 0.06440 0.07715 0.11338 0.01203 0.025805 7 0.67262±0.01606 0.02011 0.02601±0.00065 0.01907±0.00206 0.26674±0.08117 0.02491 0.07281 0.01024 0.01504 0.01833 0.328715 8 0.71184±0.00912 0.21406 0.08247±0.00206 0.07005±0.00611 0.15060±0.07706 0.01322 0.03977 0.03436 0.05050 0.02123 0.179855 9 0.71452±0.00681 0.61348 0.19026±0.00476 0.18086±0.01643 0.04942±0.08958 0.01069 0.03984 0.04269 0.06274 0.02376 0.092445 10 0.69262±0.00643 0.21825 0.27321±0.00683 0.25518±0.01184 0.06600±0.04922 0.01248 0.03699 0.01058 0.01554 0.02335 0.039765 11 0.69747±0.00664 -0.66923 0.21312±0.00533 0.18376±0.01929 0.13778±0.09306 0.01544 0.04995 0.04157 0.06110 0.02156 0.015385 12 0.49337±0.00375 -0.30886 0.04794±0.00120 0.02608±0.00767 0.45602±0.16060 0.00972 0.05023 0.08530 0.12536 0.01360 0.022455 13 0.62856±0.00777 -0.03389 0.00795±0.00020 0.00283±0.00087 0.64370±0.11014 0.01139 0.04297 0.05646 0.08299 0.00891 0.018956 8 0.90641±0.03237 0.01056 0.01515±0.00038 0.00940±0.00150 0.37934±0.10038 0.03057 0.09290 0.00923 0.01356 0.01552 0.351946 9 0.74803±0.00931 0.35551 0.10185±0.00255 0.09061±0.00933 0.11038±0.09427 0.01227 0.03865 0.04621 0.06791 0.02224 0.219276 10 0.73654±0.00658 0.75057 0.26179±0.00654 0.24376±0.01959 0.06889±0.07836 0.01001 0.03074 0.03796 0.05578 0.02328 0.058536 11 0.77126±0.00621 -0.05487 0.39400±0.00985 0.36976±0.01483 0.06152±0.04435 0.01163 0.03564 0.00184 0.00271 0.02346 0.038976 12 0.68546±0.00567 -0.73390 0.20042±0.00501 0.16090±0.01996 0.19719±0.10160 0.01306 0.04819 0.04848 0.07125 0.02007 0.002486 13 0.61241±0.00486 -0.32072 0.05225±0.00131 0.03157±0.00814 0.39569±0.15647 0.01152 0.05706 0.08126 0.11943 0.01511 0.000006 14 0.63993±0.00735 -0.04665 0.01139±0.00028 0.00420±0.00129 0.63084±0.11363 0.01071 0.05850 0.05422 0.07969 0.00923 0.000007 9 2.64553±0.23924 -0.00495 0.01081±0.00027 0.00441±0.00204 0.59224±0.18910 0.07164 0.17438 0.00606 0.00891 0.01019 0.493977 10 0.80228±0.01144 0.25858 0.07326±0.00183 0.06373±0.00701 0.13010±0.09817 0.01319 0.04572 0.04673 0.06868 0.02175 0.130967 11 0.80135±0.00699 0.93311 0.33424±0.00836 0.30886±0.02443 0.07593±0.07667 0.00953 0.03061 0.03696 0.05432 0.02310 0.072657 12 0.79367±0.00689 -0.06825 0.36042±0.00901 0.32902±0.01300 0.08715±0.04268 0.01226 0.03362 0.00251 0.00368 0.02282 0.037357 13 0.78951±0.00750 -0.61029 0.20528±0.00513 0.16950±0.01657 0.17431±0.08333 0.01510 0.03734 0.03936 0.05785 0.02064 0.000007 14 0.71683±0.00767 -0.35864 0.06548±0.00164 0.04426±0.00930 0.32410±0.14301 0.01696 0.05713 0.07251 0.10657 0.01690 0.000007 15 0.63016±0.00503 -0.04199 0.01463±0.00037 0.00420±0.00111 0.71305±0.07631 0.00553 0.03431 0.03801 0.05586 0.00717 0.000008 10 1.50918±0.21159 -0.00042 0.00823±0.00021 0.00230±0.00150 0.72072±0.18263 0.06116 0.17194 0.00067 0.00099 0.00698 0.929908 11 1.16112±0.02797 0.12418 0.05522±0.00138 0.04669±0.00469 0.15449±0.08748 0.02213 0.06258 0.02977 0.04375 0.02114 0.462868 12 0.90036±0.01099 0.41361 0.27758±0.00694 0.25993±0.01896 0.06360±0.07222 0.01509 0.05666 0.01973 0.02899 0.02341 0.083558 13 0.84080±0.00770 -0.00992 0.40089±0.01002 0.36578±0.01644 0.08757±0.04693 0.01276 0.03897 0.00033 0.00048 0.02281 0.019268 14 0.79607±0.00678 -0.85041 0.31493±0.00787 0.26868±0.02443 0.14686±0.08045 0.01365 0.04235 0.03575 0.05254 0.02133 0.000008 15 0.72940±0.00724 -0.63046 0.12238±0.00306 0.09133±0.01709 0.25372±0.14085 0.01656 0.06722 0.06820 0.10023 0.01866 0.000588 16 0.71780±0.00958 -0.04232 0.01293±0.00032 0.00432±0.00139 0.66590±0.10774 0.01123 0.07400 0.04334 0.06370 0.00835 0.008999 11 2.14061±0.31086 -0.00344 0.00701±0.00018 0.00135±0.00135 0.80811±0.19206 0.06397 0.18066 0.00649 0.00953 0.00480 0.859559 12 1.66510±0.19796 -0.00304 0.00934±0.00023 0.00108±0.00053 0.88441±0.05664 0.03004 0.04731 0.00431 0.00634 0.00289 0.894069 13 1.83608±0.17735 -0.00349 0.01484±0.00037 0.00242±0.00079 0.83720±0.05360 0.02984 0.04399 0.00311 0.00457 0.00407 0.862479 14 1.31696±0.02998 -0.00797 0.11488±0.00287 0.09576±0.01002 0.16643±0.08966 0.02920 0.08216 0.00092 0.00135 0.02084 0.518049 15 0.92729±0.00901 -0.64044 0.39969±0.00999 0.34335±0.02316 0.14096±0.06181 0.01475 0.04146 0.02121 0.03118 0.02148 0.118639 16 0.78764±0.00588 -1.19491 0.36516±0.00913 0.26094±0.03081 0.28541±0.08626 0.01085 0.03275 0.04332 0.06367 0.01786 0.04287Table F.27: Pass 3 Target LD2, Energy 362, Octant 3, sbfil= 1.02200 ± 0.00500, r= -0.45387208CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.57033±0.00756 0.04396 0.06509±0.00163 0.05646±0.00321 0.13253±0.05389 0.01526 0.04449 0.00894 0.01192 0.02169 0.423681 4 0.60424±0.00734 0.17322 0.06705±0.00168 0.05320±0.00455 0.20652±0.07075 0.01143 0.03509 0.03420 0.04560 0.01984 0.367331 5 0.54767±0.00629 0.43586 0.09853±0.00246 0.08984±0.01044 0.08821±0.10834 0.01174 0.03942 0.05856 0.07808 0.02279 0.269681 6 0.56900±0.00575 0.41005 0.16808±0.00420 0.15227±0.01116 0.09409±0.07017 0.01122 0.03724 0.03230 0.04306 0.02265 0.054421 7 0.55652±0.00531 -0.21923 0.16569±0.00414 0.15218±0.00775 0.08154±0.05210 0.01263 0.03428 0.01752 0.02336 0.02296 0.027451 8 0.47133±0.00614 -0.30142 0.05828±0.00146 0.05088±0.00744 0.12686±0.12957 0.01851 0.05428 0.06847 0.09130 0.02183 0.001931 9 0.45535±0.00958 -0.08037 0.00979±0.00024 0.00847±0.00191 0.13571±0.19657 0.03218 0.06598 0.10864 0.14485 0.02161 0.028592 4 0.58548±0.01016 -0.01377 0.04178±0.00104 0.03596±0.00257 0.13917±0.06508 0.02075 0.05735 0.00436 0.00582 0.02152 0.405472 5 0.61886±0.00836 0.13091 0.05789±0.00145 0.04798±0.00381 0.17108±0.06901 0.01357 0.04072 0.02994 0.03992 0.02072 0.351532 6 0.64313±0.00800 0.46090 0.09789±0.00245 0.09067±0.01101 0.07373±0.11485 0.01228 0.04136 0.06233 0.08311 0.02316 0.098262 7 0.66670±0.00792 0.11584 0.17594±0.00440 0.16492±0.00954 0.06263±0.05906 0.01475 0.05010 0.00872 0.01162 0.02343 0.085212 8 0.63060±0.00714 -0.22461 0.13537±0.00338 0.12476±0.00781 0.07840±0.06213 0.01537 0.04186 0.02197 0.02929 0.02304 0.002322 9 0.59411±0.00729 -0.42573 0.07692±0.00192 0.07220±0.01081 0.06142±0.14244 0.01951 0.06666 0.07327 0.09770 0.02346 0.017152 10 0.57748±0.00831 -0.10245 0.01206±0.00030 0.01194±0.00262 0.01021±0.21880 0.02602 0.10708 0.11244 0.14992 0.02474 0.024723 5 0.60175±0.01032 -0.00945 0.04386±0.00110 0.03910±0.00268 0.10836±0.06500 0.02113 0.05708 0.00285 0.00380 0.02229 0.417363 6 0.66862±0.00797 0.12804 0.07900±0.00198 0.06650±0.00418 0.15827±0.05693 0.01253 0.03691 0.02146 0.02861 0.02104 0.314303 7 0.67298±0.00749 0.51526 0.14696±0.00367 0.13871±0.01346 0.05614±0.09456 0.01193 0.04751 0.04642 0.06189 0.02360 0.152503 8 0.68534±0.00739 0.12749 0.20029±0.00501 0.19058±0.01089 0.04846±0.05933 0.01361 0.05071 0.00843 0.01124 0.02379 0.051433 9 0.66967±0.00695 -0.34599 0.19205±0.00480 0.17525±0.01129 0.08748±0.06304 0.01412 0.04092 0.02385 0.03180 0.02281 0.008053 10 0.63588±0.00692 -0.41146 0.07843±0.00196 0.07020±0.00982 0.10492±0.12715 0.01670 0.04460 0.06945 0.09260 0.02238 0.008453 11 0.55920±0.00538 -0.08916 0.01196±0.00030 0.00886±0.00207 0.25897±0.17436 0.01347 0.05303 0.09871 0.13161 0.01853 0.001424 6 0.54508±0.00966 0.01146 0.03426±0.00086 0.02728±0.00208 0.20371±0.06399 0.01900 0.05729 0.00443 0.00590 0.01991 0.430214 7 0.67474±0.00750 0.25807 0.10172±0.00254 0.08545±0.00669 0.15997±0.06904 0.01102 0.03272 0.03359 0.04478 0.02100 0.301394 8 0.68005±0.00728 0.58490 0.16004±0.00400 0.15325±0.01452 0.04244±0.09385 0.01156 0.03997 0.04838 0.06451 0.02394 0.114144 9 0.69563±0.00632 0.29402 0.28248±0.00706 0.26650±0.01190 0.05655±0.04829 0.01111 0.03354 0.01378 0.01837 0.02359 0.014154 10 0.66194±0.00609 -0.50919 0.23695±0.00592 0.21013±0.01457 0.11319±0.06536 0.01237 0.03714 0.02845 0.03793 0.02217 0.007194 11 0.61879±0.00517 -0.51197 0.08831±0.00221 0.07096±0.01209 0.19647±0.13838 0.01196 0.04735 0.07675 0.10233 0.02009 0.012734 12 0.58203±0.00595 -0.05927 0.01046±0.00026 0.00574±0.00144 0.45114±0.13795 0.01080 0.05573 0.07499 0.09998 0.01372 0.025805 7 0.55536±0.01082 0.01991 0.02226±0.00056 0.01546±0.00152 0.30558±0.07058 0.01761 0.06310 0.01184 0.01579 0.01736 0.328715 8 0.71780±0.00865 0.21199 0.07945±0.00199 0.06669±0.00562 0.16060±0.07377 0.01171 0.03739 0.03532 0.04709 0.02099 0.179855 9 0.71814±0.00717 0.60753 0.17768±0.00444 0.17047±0.01517 0.04057±0.08870 0.01084 0.03852 0.04527 0.06035 0.02399 0.092445 10 0.71455±0.00691 0.21614 0.27536±0.00688 0.25925±0.01101 0.05850±0.04641 0.01196 0.03401 0.01039 0.01385 0.02354 0.039765 11 0.65680±0.00602 -0.66274 0.20951±0.00524 0.18432±0.01738 0.12025±0.08583 0.01280 0.04299 0.04188 0.05584 0.02199 0.015385 12 0.52514±0.00443 -0.30586 0.04977±0.00124 0.03192±0.00715 0.35873±0.14450 0.00992 0.04626 0.08136 0.10847 0.01603 0.022455 13 0.56140±0.00661 -0.03356 0.00755±0.00019 0.00302±0.00079 0.60045±0.10544 0.00916 0.03628 0.05885 0.07846 0.00999 0.018956 8 0.70144±0.02183 0.01046 0.01194±0.00030 0.00709±0.00104 0.40652±0.08866 0.02350 0.08195 0.01159 0.01546 0.01484 0.351946 9 0.69562±0.00888 0.35206 0.08832±0.00221 0.07792±0.00850 0.11779±0.09877 0.01212 0.03724 0.05277 0.07036 0.02206 0.219276 10 0.72696±0.00695 0.74329 0.24276±0.00607 0.22659±0.01806 0.06661±0.07796 0.01023 0.02940 0.04054 0.05405 0.02333 0.058536 11 0.71954±0.00624 -0.05434 0.36553±0.00914 0.34598±0.01253 0.05350±0.04166 0.01132 0.03220 0.00197 0.00262 0.02366 0.038976 12 0.67638±0.00618 -0.72679 0.19696±0.00492 0.17150±0.01836 0.12927±0.09571 0.01299 0.04347 0.04885 0.06513 0.02177 0.002486 13 0.57941±0.00483 -0.31761 0.05084±0.00127 0.03464±0.00747 0.31867±0.14793 0.01057 0.04984 0.08270 0.11026 0.01703 0.000006 14 0.54843±0.00586 -0.04619 0.01055±0.00026 0.00426±0.00114 0.59641±0.10890 0.00828 0.04860 0.05794 0.07726 0.01009 0.000007 9 1.65434±0.14911 -0.00490 0.00664±0.00017 0.00297±0.00115 0.55306±0.17354 0.06533 0.15955 0.00978 0.01303 0.01117 0.493977 10 0.77450±0.01152 0.25607 0.06540±0.00164 0.05638±0.00641 0.13790±0.10040 0.01336 0.04442 0.05183 0.06911 0.02155 0.130967 11 0.75007±0.00700 0.92407 0.29578±0.00739 0.27114±0.02231 0.08329±0.07885 0.00968 0.02909 0.04136 0.05515 0.02292 0.072657 12 0.73692±0.00670 -0.06758 0.33319±0.00833 0.30678±0.01092 0.07925±0.04005 0.01158 0.03034 0.00269 0.00358 0.02302 0.037357 13 0.70804±0.00683 -0.60437 0.18934±0.00473 0.16309±0.01491 0.13863±0.08165 0.01338 0.03261 0.04226 0.05634 0.02153 0.000007 14 0.61895±0.00642 -0.35516 0.05926±0.00148 0.04391±0.00840 0.25898±0.14293 0.01409 0.04897 0.07935 0.10580 0.01853 0.000007 15 0.52513±0.00410 -0.04159 0.01273±0.00032 0.00406±0.00099 0.68086±0.07842 0.00465 0.02951 0.04324 0.05765 0.00798 0.000008 10 1.38387±0.19703 -0.00042 0.00748±0.00019 0.00212±0.00124 0.71613±0.16593 0.05632 0.15591 0.00074 0.00098 0.00710 0.929908 11 0.89812±0.02592 0.12298 0.03858±0.00096 0.03326±0.00376 0.13803±0.09991 0.02638 0.06225 0.04220 0.05627 0.02155 0.462868 12 0.77086±0.00976 0.40961 0.22505±0.00563 0.21436±0.01547 0.04752±0.07273 0.01485 0.05375 0.02410 0.03213 0.02381 0.083558 13 0.74913±0.00703 -0.00982 0.35382±0.00885 0.32609±0.01319 0.07837±0.04383 0.01186 0.03535 0.00037 0.00049 0.02304 0.019268 14 0.70723±0.00632 -0.84217 0.28276±0.00707 0.25413±0.02172 0.10127±0.08002 0.01274 0.03764 0.03943 0.05257 0.02247 0.000008 15 0.64342±0.00615 -0.62435 0.11672±0.00292 0.09097±0.01532 0.22059±0.13268 0.01323 0.05585 0.07082 0.09442 0.01949 0.000588 16 0.70293±0.01054 -0.04191 0.01234±0.00031 0.00499±0.00126 0.59548±0.10247 0.01162 0.06819 0.04496 0.05994 0.01011 0.008999 11 1.81204±0.25568 -0.00340 0.00595±0.00015 0.00130±0.00102 0.78193±0.17161 0.05565 0.16176 0.00756 0.01009 0.00545 0.859559 12 1.44932±0.16995 -0.00301 0.00823±0.00021 0.00105±0.00041 0.87205±0.05031 0.02630 0.04200 0.00485 0.00646 0.00320 0.894069 13 1.60601±0.15895 -0.00345 0.01230±0.00031 0.00226±0.00063 0.81657±0.05136 0.02898 0.04170 0.00372 0.00495 0.00459 0.862479 14 1.03756±0.02431 -0.00789 0.08610±0.00215 0.07566±0.00712 0.12127±0.08551 0.02838 0.07759 0.00121 0.00162 0.02197 0.518049 15 0.79883±0.00781 -0.63423 0.34766±0.00869 0.30891±0.01953 0.11145±0.06041 0.01321 0.03689 0.02415 0.03220 0.02221 0.118639 16 0.67784±0.00508 -1.18333 0.31490±0.00787 0.24535±0.02787 0.22088±0.09062 0.00976 0.02937 0.04975 0.06633 0.01948 0.04287Table F.28: Pass 3 Target LD2, Energy 362, Octant 4, sbfil= 1.03200 ± 0.00500, r= -0.32834209CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.50775±0.00722 0.04316 0.05897±0.00147 0.04920±0.00237 0.16569±0.04522 0.01294 0.03517 0.00969 0.01058 0.02086 0.423681 4 0.57203±0.00690 0.17009 0.06144±0.00154 0.04562±0.00383 0.25743±0.06504 0.00944 0.02916 0.03665 0.04003 0.01856 0.367331 5 0.58258±0.00631 0.42798 0.09279±0.00232 0.08341±0.00907 0.10108±0.10033 0.01007 0.03581 0.06106 0.06670 0.02247 0.269681 6 0.57105±0.00548 0.40263 0.15356±0.00384 0.14161±0.00948 0.07784±0.06592 0.00941 0.03291 0.03471 0.03791 0.02305 0.054421 7 0.59065±0.00527 -0.21527 0.17760±0.00444 0.16771±0.00664 0.05572±0.04423 0.00942 0.02731 0.01605 0.01753 0.02361 0.027451 8 0.62407±0.00877 -0.29597 0.08377±0.00209 0.07638±0.00682 0.08822±0.08458 0.01479 0.04022 0.04678 0.05109 0.02279 0.001931 9 0.91367±0.02099 -0.07892 0.02345±0.00059 0.02050±0.00195 0.12566±0.08586 0.02369 0.04449 0.04456 0.04867 0.02186 0.028592 4 0.42802±0.00773 -0.01352 0.03080±0.00077 0.02657±0.00153 0.13710±0.05412 0.01723 0.04575 0.00581 0.00635 0.02157 0.405472 5 0.59117±0.00794 0.12855 0.05348±0.00134 0.04213±0.00316 0.21223±0.06230 0.01122 0.03387 0.03182 0.03475 0.01969 0.351532 6 0.61249±0.00714 0.45257 0.08167±0.00204 0.07284±0.00944 0.10806±0.11771 0.01056 0.03798 0.07337 0.08013 0.02230 0.098262 7 0.63797±0.00670 0.11374 0.15692±0.00392 0.15428±0.00736 0.01684±0.05294 0.01125 0.04324 0.00960 0.01048 0.02458 0.085212 8 0.63259±0.00658 -0.22055 0.14011±0.00350 0.13195±0.00648 0.05819±0.05190 0.01102 0.03264 0.02084 0.02276 0.02355 0.002322 9 0.64162±0.00762 -0.41804 0.09605±0.00240 0.09104±0.00941 0.05209±0.10083 0.01313 0.04638 0.05762 0.06294 0.02370 0.017152 10 0.70971±0.01265 -0.10059 0.02196±0.00055 0.01815±0.00238 0.17339±0.11036 0.01751 0.05814 0.06064 0.06624 0.02067 0.024723 5 0.34507±0.00610 -0.00928 0.02554±0.00064 0.02258±0.00125 0.11587±0.05368 0.01724 0.04521 0.00481 0.00526 0.02210 0.417363 6 0.52006±0.00598 0.12573 0.05905±0.00148 0.04853±0.00312 0.17809±0.05676 0.01011 0.03090 0.02819 0.03079 0.02055 0.314303 7 0.54965±0.00570 0.50594 0.10478±0.00262 0.09973±0.01098 0.04821±0.10747 0.01026 0.04378 0.06392 0.06982 0.02379 0.152503 8 0.55796±0.00535 0.12519 0.15173±0.00379 0.15175±0.00726 -0.00016±0.05402 0.01045 0.04384 0.01092 0.01193 0.02500 0.051433 9 0.57463±0.00543 -0.33973 0.17160±0.00429 0.15990±0.00876 0.06819±0.05610 0.00994 0.03161 0.02621 0.02863 0.02330 0.008053 10 0.55294±0.00586 -0.40403 0.08449±0.00211 0.07193±0.00834 0.14863±0.10095 0.01056 0.02896 0.06331 0.06914 0.02128 0.008453 11 0.58740±0.00680 -0.08755 0.01748±0.00044 0.01182±0.00181 0.32405±0.10467 0.00938 0.03066 0.06631 0.07242 0.01690 0.001424 6 0.39675±0.00744 0.01126 0.02414±0.00060 0.01964±0.00124 0.18621±0.05518 0.01672 0.04762 0.00617 0.00674 0.02034 0.430214 7 0.63336±0.00660 0.25340 0.08910±0.00223 0.07239±0.00562 0.18754±0.06631 0.00890 0.02821 0.03765 0.04113 0.02031 0.301394 8 0.66139±0.00657 0.57433 0.13872±0.00347 0.13053±0.01239 0.05903±0.09240 0.00967 0.03608 0.05481 0.05987 0.02352 0.114144 9 0.69542±0.00564 0.28871 0.26732±0.00668 0.25664±0.00975 0.03995±0.04368 0.00844 0.02850 0.01430 0.01562 0.02400 0.014154 10 0.64517±0.00580 -0.49998 0.24568±0.00614 0.22053±0.01220 0.10236±0.05448 0.00915 0.02808 0.02694 0.02943 0.02244 0.007194 11 0.65648±0.00625 -0.50272 0.11072±0.00277 0.09137±0.01053 0.17475±0.09733 0.00929 0.03223 0.06011 0.06565 0.02063 0.012734 12 0.63451±0.00781 -0.05820 0.01488±0.00037 0.00806±0.00126 0.45827±0.08549 0.00802 0.03436 0.05178 0.05655 0.01354 0.025805 7 0.35112±0.00750 0.01955 0.01354±0.00034 0.00944±0.00084 0.30289±0.06442 0.01616 0.05276 0.01912 0.02088 0.01743 0.328715 8 0.61785±0.00743 0.20816 0.06210±0.00155 0.05114±0.00462 0.17652±0.07712 0.01035 0.03313 0.04438 0.04847 0.02059 0.179855 9 0.69271±0.00651 0.59655 0.15185±0.00380 0.14429±0.01292 0.04977±0.08835 0.00925 0.03497 0.05201 0.05681 0.02376 0.092445 10 0.68782±0.00615 0.21223 0.25414±0.00635 0.24244±0.00869 0.04602±0.04168 0.00928 0.02854 0.01106 0.01208 0.02385 0.039765 11 0.66126±0.00640 -0.65076 0.22637±0.00566 0.20655±0.01487 0.08755±0.06955 0.01013 0.03222 0.03806 0.04157 0.02281 0.015385 12 0.57271±0.00653 -0.30034 0.06506±0.00163 0.04319±0.00625 0.33612±0.09752 0.00900 0.03104 0.06111 0.06675 0.01660 0.022455 13 0.59812±0.00903 -0.03295 0.01099±0.00027 0.00417±0.00069 0.62009±0.06365 0.00692 0.02136 0.03970 0.04336 0.00950 0.018956 8 0.48789±0.01662 0.01027 0.00826±0.00021 0.00469±0.00061 0.43290±0.07496 0.02080 0.06627 0.01645 0.01797 0.01418 0.351946 9 0.60936±0.00747 0.34570 0.07136±0.00178 0.05799±0.00720 0.18743±0.10291 0.01015 0.03248 0.06413 0.07005 0.02031 0.219276 10 0.71938±0.00636 0.72986 0.21527±0.00538 0.19863±0.01550 0.07731±0.07562 0.00850 0.02639 0.04488 0.04902 0.02307 0.058536 11 0.73484±0.00584 -0.05336 0.36643±0.00916 0.35524±0.01021 0.03052±0.03693 0.00850 0.02639 0.00193 0.00211 0.02424 0.038976 12 0.69090±0.00685 -0.71365 0.21951±0.00549 0.19922±0.01583 0.09243±0.07558 0.01040 0.03205 0.04304 0.04701 0.02269 0.002486 13 0.63270±0.00645 -0.31187 0.06773±0.00169 0.04745±0.00653 0.29947±0.09802 0.00853 0.03286 0.06096 0.06658 0.01751 0.000006 14 0.61607±0.00728 -0.04536 0.01531±0.00038 0.00615±0.00101 0.59850±0.06651 0.00571 0.03028 0.03922 0.04284 0.01004 0.000007 9 3.01539±0.28050 -0.00481 0.01214±0.00030 0.00611±0.00169 0.49645±0.13960 0.05404 0.12787 0.00525 0.00573 0.01259 0.493977 10 0.63140±0.00879 0.25144 0.04998±0.00125 0.03823±0.00531 0.23512±0.10799 0.01073 0.03812 0.06661 0.07275 0.01912 0.130967 11 0.76984±0.00668 0.90736 0.27469±0.00687 0.24424±0.01928 0.11085±0.07362 0.00800 0.02586 0.04373 0.04777 0.02223 0.072657 12 0.79170±0.00671 -0.06636 0.35106±0.00878 0.33214±0.00936 0.05388±0.03565 0.00885 0.02488 0.00250 0.00273 0.02365 0.037357 13 0.77987±0.00761 -0.59345 0.22533±0.00563 0.20220±0.01306 0.10267±0.06213 0.01009 0.02428 0.03487 0.03808 0.02243 0.000007 14 0.72656±0.00781 -0.34874 0.08588±0.00215 0.06390±0.00741 0.25597±0.08828 0.00951 0.03191 0.05376 0.05872 0.01860 0.000007 15 0.67717±0.00587 -0.04084 0.02163±0.00054 0.00659±0.00089 0.69539±0.04199 0.00315 0.01802 0.02500 0.02730 0.00762 0.000008 10 1.45052±0.20299 -0.00041 0.00805±0.00020 0.00225±0.00104 0.71991±0.12982 0.04337 0.12216 0.00067 0.00073 0.00700 0.929908 11 0.65781±0.01787 0.12075 0.02635±0.00066 0.02049±0.00282 0.22265±0.10858 0.02142 0.05369 0.06066 0.06626 0.01943 0.462868 12 0.72996±0.00849 0.40220 0.19676±0.00492 0.18867±0.01235 0.04107±0.06720 0.01189 0.04683 0.02706 0.02956 0.02397 0.083558 13 0.78236±0.00670 -0.00964 0.35985±0.00900 0.34092±0.01099 0.05259±0.03865 0.00893 0.02920 0.00035 0.00039 0.02369 0.019268 14 0.80032±0.00661 -0.82695 0.34023±0.00851 0.31984±0.01913 0.05992±0.06094 0.00890 0.02848 0.03218 0.03515 0.02350 0.000008 15 0.76285±0.00818 -0.61306 0.15958±0.00399 0.13066±0.01363 0.18124±0.08785 0.01036 0.03896 0.05086 0.05555 0.02047 0.000588 16 0.80704±0.01259 -0.04116 0.01899±0.00047 0.00735±0.00113 0.61283±0.06023 0.00726 0.04093 0.02869 0.03134 0.00968 0.008999 11 1.84397±0.25343 -0.00334 0.00644±0.00016 0.00162±0.00083 0.74833±0.12960 0.04100 0.12236 0.00686 0.00750 0.00629 0.859559 12 1.31727±0.14983 -0.00296 0.00681±0.00017 0.00115±0.00030 0.83152±0.04445 0.02254 0.03712 0.00575 0.00628 0.00421 0.894069 13 1.68966±0.15987 -0.00339 0.01357±0.00034 0.00265±0.00053 0.80449±0.03902 0.02125 0.03199 0.00331 0.00361 0.00489 0.862479 14 0.93242±0.02089 -0.00775 0.07114±0.00178 0.06834±0.00512 0.03930±0.07585 0.02374 0.06789 0.00144 0.00158 0.02402 0.518049 15 0.75293±0.00699 -0.62276 0.33251±0.00831 0.31402±0.01595 0.05561±0.05348 0.00995 0.02924 0.02480 0.02708 0.02361 0.118639 16 0.68317±0.00524 -1.16194 0.35676±0.00892 0.28597±0.02412 0.19842±0.07051 0.00715 0.02101 0.04312 0.04710 0.02004 0.04287Table F.29: Pass 3 Target LD2, Energy 362, Octant 5, sbfil= 1.05100 ± 0.00500, r= -0.09643210CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.74504±0.00988 0.04396 0.08478±0.00212 0.07376±0.00412 0.13004±0.05319 0.01531 0.04462 0.00686 0.00915 0.02175 0.423681 4 0.77231±0.00938 0.17322 0.08534±0.00213 0.06800±0.00496 0.20323±0.06145 0.01148 0.03524 0.02687 0.03583 0.01992 0.367331 5 0.73153±0.00840 0.43586 0.13156±0.00329 0.12000±0.01104 0.08788±0.08693 0.01175 0.03943 0.04386 0.05848 0.02280 0.269681 6 0.72559±0.00733 0.41005 0.21198±0.00530 0.19417±0.01230 0.08399±0.06239 0.01134 0.03766 0.02561 0.03414 0.02290 0.054421 7 0.70764±0.00674 -0.21923 0.20909±0.00523 0.19350±0.00909 0.07456±0.04925 0.01272 0.03455 0.01388 0.01851 0.02314 0.027451 8 0.62550±0.00814 -0.30142 0.07613±0.00190 0.06753±0.00799 0.11295±0.10732 0.01879 0.05514 0.05242 0.06989 0.02218 0.001931 9 0.66748±0.01400 -0.08037 0.01419±0.00035 0.01241±0.00206 0.12554±0.14699 0.03244 0.06676 0.07498 0.09998 0.02186 0.028592 4 0.69673±0.01210 -0.01377 0.04961±0.00124 0.04280±0.00305 0.13731±0.06510 0.02080 0.05747 0.00367 0.00490 0.02157 0.405472 5 0.77812±0.01051 0.13091 0.07293±0.00182 0.06033±0.00425 0.17276±0.06190 0.01354 0.04064 0.02376 0.03168 0.02068 0.351532 6 0.77033±0.00959 0.46090 0.11641±0.00291 0.10861±0.01136 0.06705±0.10032 0.01237 0.04166 0.05242 0.06989 0.02332 0.098262 7 0.80661±0.00958 0.11584 0.21075±0.00527 0.19953±0.01141 0.05321±0.05908 0.01490 0.05060 0.00728 0.00970 0.02367 0.085212 8 0.76665±0.00868 -0.22461 0.16390±0.00410 0.15168±0.00886 0.07456±0.05878 0.01543 0.04204 0.01814 0.02419 0.02314 0.002322 9 0.73076±0.00896 -0.42573 0.09453±0.00236 0.08880±0.01146 0.06062±0.12352 0.01950 0.06672 0.05962 0.07949 0.02348 0.017152 10 0.70769±0.01009 -0.10245 0.01547±0.00039 0.01463±0.00279 0.05443±0.18158 0.02464 0.10229 0.08765 0.11687 0.02364 0.024723 5 0.68677±0.01178 -0.00945 0.05023±0.00126 0.04463±0.00305 0.11144±0.06473 0.02107 0.05688 0.00249 0.00332 0.02221 0.417363 6 0.78627±0.00937 0.12804 0.09272±0.00232 0.07820±0.00459 0.15658±0.05384 0.01255 0.03699 0.01828 0.02438 0.02109 0.314303 7 0.79865±0.00888 0.51526 0.17166±0.00429 0.16461±0.01422 0.04109±0.08624 0.01212 0.04827 0.03974 0.05298 0.02397 0.152503 8 0.81517±0.00879 0.12749 0.23552±0.00589 0.22668±0.01282 0.03752±0.05952 0.01376 0.05129 0.00717 0.00956 0.02406 0.051433 9 0.79407±0.00824 -0.34599 0.22790±0.00570 0.20781±0.01247 0.08816±0.05927 0.01410 0.04089 0.02010 0.02680 0.02280 0.008053 10 0.76918±0.00836 -0.41146 0.09655±0.00241 0.08492±0.01014 0.12047±0.10731 0.01638 0.04382 0.05642 0.07523 0.02199 0.008453 11 0.65328±0.00627 -0.08916 0.01458±0.00036 0.01035±0.00211 0.28991±0.14585 0.01287 0.05082 0.08097 0.10795 0.01775 0.001424 6 0.65266±0.01157 0.01146 0.04077±0.00102 0.03267±0.00249 0.19863±0.06427 0.01914 0.05766 0.00372 0.00496 0.02003 0.430214 7 0.80964±0.00900 0.25807 0.12198±0.00305 0.10254±0.00708 0.15939±0.06176 0.01103 0.03274 0.02801 0.03734 0.02102 0.301394 8 0.81397±0.00871 0.58490 0.19077±0.00477 0.18343±0.01517 0.03849±0.08307 0.01160 0.04014 0.04059 0.05412 0.02404 0.114144 9 0.82833±0.00752 0.29402 0.33369±0.00834 0.31734±0.01354 0.04899±0.04703 0.01121 0.03380 0.01167 0.01555 0.02378 0.014154 10 0.79155±0.00728 -0.50919 0.28072±0.00702 0.25127±0.01579 0.10489±0.06053 0.01248 0.03748 0.02401 0.03202 0.02238 0.007194 11 0.72617±0.00607 -0.51197 0.10247±0.00256 0.08328±0.01238 0.18731±0.12249 0.01210 0.04789 0.06614 0.08819 0.02032 0.012734 12 0.65617±0.00672 -0.05927 0.01190±0.00030 0.00647±0.00147 0.45605±0.12418 0.01072 0.05523 0.06592 0.08789 0.01360 0.025805 7 0.59947±0.01168 0.01991 0.02417±0.00060 0.01669±0.00163 0.30950±0.06980 0.01751 0.06274 0.01091 0.01454 0.01726 0.328715 8 0.80514±0.00971 0.21199 0.08921±0.00223 0.07481±0.00584 0.16145±0.06871 0.01170 0.03736 0.03146 0.04194 0.02096 0.179855 9 0.82543±0.00825 0.60753 0.20278±0.00507 0.19594±0.01570 0.03374±0.08110 0.01092 0.03879 0.03966 0.05288 0.02416 0.092445 10 0.82386±0.00797 0.21614 0.31485±0.00787 0.29892±0.01240 0.05061±0.04599 0.01206 0.03430 0.00909 0.01212 0.02373 0.039765 11 0.75500±0.00692 -0.66274 0.23882±0.00597 0.21188±0.01818 0.11281±0.07929 0.01291 0.04335 0.03674 0.04898 0.02218 0.015385 12 0.61188±0.00516 -0.30586 0.05830±0.00146 0.03719±0.00729 0.36209±0.12598 0.00987 0.04602 0.06946 0.09261 0.01595 0.022455 13 0.63734±0.00753 -0.03356 0.00866±0.00022 0.00342±0.00081 0.60465±0.09368 0.00910 0.03590 0.05129 0.06838 0.00988 0.018956 8 0.77856±0.02418 0.01046 0.01333±0.00033 0.00787±0.00115 0.40965±0.08779 0.02333 0.08152 0.01039 0.01385 0.01476 0.351946 9 0.79679±0.01017 0.35206 0.10141±0.00254 0.08925±0.00872 0.11994±0.08876 0.01209 0.03715 0.04596 0.06128 0.02200 0.219276 10 0.84169±0.00805 0.74329 0.28057±0.00701 0.26235±0.01859 0.06495±0.07026 0.01025 0.02945 0.03507 0.04676 0.02338 0.058536 11 0.82075±0.00712 -0.05434 0.41406±0.01035 0.39464±0.01428 0.04691±0.04192 0.01140 0.03243 0.00174 0.00232 0.02383 0.038976 12 0.76584±0.00699 -0.72679 0.22171±0.00554 0.19419±0.01896 0.12412±0.08829 0.01307 0.04373 0.04340 0.05786 0.02190 0.002486 13 0.65342±0.00547 -0.31761 0.05700±0.00143 0.03907±0.00759 0.31469±0.13429 0.01067 0.05013 0.07376 0.09835 0.01713 0.000006 14 0.62132±0.00668 -0.04619 0.01163±0.00029 0.00483±0.00118 0.58510±0.10177 0.00856 0.04997 0.05258 0.07010 0.01037 0.000007 9 1.80182±0.16249 -0.00490 0.00724±0.00018 0.00323±0.00125 0.55380±0.17315 0.06526 0.15929 0.00896 0.01195 0.01116 0.493977 10 0.83923±0.01248 0.25607 0.07150±0.00179 0.06110±0.00654 0.14555±0.09388 0.01325 0.04403 0.04741 0.06321 0.02136 0.130967 11 0.85713±0.00800 0.92407 0.33838±0.00846 0.30984±0.02287 0.08434±0.07136 0.00967 0.02905 0.03615 0.04820 0.02289 0.072657 12 0.83625±0.00760 -0.06758 0.37663±0.00942 0.34813±0.01237 0.07566±0.04015 0.01162 0.03046 0.00238 0.00317 0.02311 0.037357 13 0.80819±0.00779 -0.60437 0.21537±0.00538 0.18616±0.01536 0.13563±0.07451 0.01343 0.03273 0.03715 0.04953 0.02161 0.000007 14 0.72400±0.00750 -0.35516 0.07018±0.00175 0.05136±0.00860 0.26817±0.12383 0.01390 0.04837 0.06700 0.08933 0.01830 0.000007 15 0.58651±0.00459 -0.04159 0.01404±0.00035 0.00454±0.00101 0.67684±0.07245 0.00472 0.02988 0.03920 0.05227 0.00808 0.000008 10 1.56683±0.22307 -0.00042 0.00841±0.00021 0.00240±0.00140 0.71410±0.16711 0.05672 0.15702 0.00065 0.00087 0.00715 0.929908 11 1.00528±0.02900 0.12298 0.04396±0.00110 0.03722±0.00399 0.15316±0.09311 0.02591 0.06115 0.03704 0.04938 0.02117 0.462868 12 0.86191±0.01091 0.40961 0.25325±0.00633 0.23968±0.01669 0.05358±0.07003 0.01476 0.05341 0.02141 0.02855 0.02366 0.083558 13 0.85582±0.00804 -0.00982 0.40330±0.01008 0.37254±0.01507 0.07628±0.04393 0.01189 0.03543 0.00032 0.00043 0.02309 0.019268 14 0.82965±0.00741 -0.84217 0.33129±0.00828 0.29812±0.02278 0.10012±0.07236 0.01275 0.03769 0.03365 0.04487 0.02250 0.000008 15 0.69416±0.00663 -0.62435 0.12507±0.00313 0.09815±0.01556 0.21526±0.12592 0.01332 0.05624 0.06609 0.08812 0.01962 0.000588 16 0.66565±0.01000 -0.04191 0.01150±0.00029 0.00473±0.00123 0.58889±0.10730 0.01182 0.06930 0.04825 0.06433 0.01028 0.008999 11 1.89996±0.26842 -0.00340 0.00621±0.00016 0.00136±0.00107 0.78093±0.17238 0.05597 0.16250 0.00725 0.00966 0.00548 0.859559 12 1.58951±0.18647 -0.00301 0.00898±0.00022 0.00115±0.00045 0.87145±0.05044 0.02643 0.04219 0.00444 0.00592 0.00321 0.894069 13 1.76485±0.17467 -0.00345 0.01350±0.00034 0.00248±0.00069 0.81623±0.05139 0.02903 0.04177 0.00339 0.00452 0.00459 0.862479 14 1.27291±0.02972 -0.00789 0.10873±0.00272 0.09282±0.00872 0.14636±0.08303 0.02747 0.07538 0.00096 0.00128 0.02134 0.518049 15 0.90071±0.00881 -0.63423 0.39377±0.00984 0.34831±0.02078 0.11544±0.05722 0.01315 0.03673 0.02132 0.02843 0.02211 0.118639 16 0.74591±0.00559 -1.18333 0.34632±0.00866 0.26999±0.02823 0.22042±0.08380 0.00977 0.02938 0.04524 0.06031 0.01949 0.04287Table F.30: Pass 3 Target LD2, Energy 362, Octant 6, sbfil= 1.03200 ± 0.00500, r= -0.32834211CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.47899±0.00672 0.04430 0.05508±0.00138 0.04785±0.00300 0.13123±0.05867 0.01748 0.04812 0.01065 0.01535 0.02172 0.423681 4 0.50540±0.00649 0.17457 0.05630±0.00141 0.04631±0.00465 0.17740±0.08507 0.01312 0.03811 0.04105 0.05920 0.02057 0.367331 5 0.50318±0.00573 0.43927 0.09309±0.00233 0.08708±0.01098 0.06457±0.12026 0.01234 0.04178 0.06247 0.09009 0.02339 0.269681 6 0.52838±0.00526 0.41325 0.15683±0.00392 0.14588±0.01166 0.06982±0.07788 0.01200 0.04040 0.03488 0.05030 0.02325 0.054421 7 0.54189±0.00514 -0.22094 0.16043±0.00401 0.14572±0.00822 0.09168±0.05605 0.01377 0.03758 0.01823 0.02629 0.02271 0.027451 8 0.52753±0.00708 -0.30378 0.06139±0.00153 0.05366±0.00816 0.12591±0.13465 0.02208 0.06286 0.06551 0.09446 0.02185 0.001931 9 0.69413±0.01542 -0.08100 0.01359±0.00034 0.01175±0.00224 0.13569±0.16589 0.04067 0.07898 0.07888 0.11375 0.02161 0.028592 4 0.44319±0.00776 -0.01388 0.03140±0.00079 0.02710±0.00213 0.13712±0.07115 0.02299 0.06295 0.00585 0.00844 0.02157 0.405472 5 0.51889±0.00747 0.13193 0.04872±0.00122 0.04164±0.00382 0.14542±0.08134 0.01571 0.04422 0.03585 0.05170 0.02136 0.351532 6 0.53106±0.00637 0.46450 0.08467±0.00212 0.07994±0.01144 0.05596±0.13712 0.01232 0.04304 0.07263 0.10473 0.02360 0.098262 7 0.59900±0.00665 0.11674 0.15951±0.00399 0.14961±0.00936 0.06205±0.06316 0.01490 0.05412 0.00969 0.01397 0.02345 0.085212 8 0.57736±0.00602 -0.22636 0.12336±0.00308 0.11154±0.00796 0.09580±0.06834 0.01552 0.04585 0.02429 0.03503 0.02261 0.002322 9 0.54433±0.00524 -0.42906 0.07352±0.00184 0.06135±0.01127 0.16554±0.15467 0.01598 0.06965 0.07726 0.11141 0.02086 0.017152 10 0.54264±0.00835 -0.10325 0.01268±0.00032 0.01007±0.00276 0.20584±0.21866 0.02714 0.10434 0.10781 0.15546 0.01985 0.024723 5 0.44237±0.00750 -0.00953 0.03186±0.00080 0.02866±0.00215 0.10055±0.07105 0.02305 0.06295 0.00396 0.00571 0.02249 0.417363 6 0.53080±0.00671 0.12904 0.06282±0.00157 0.05420±0.00402 0.13724±0.06757 0.01446 0.04017 0.02720 0.03922 0.02157 0.314303 7 0.56934±0.00613 0.51928 0.12766±0.00319 0.12341±0.01376 0.03331±0.11049 0.01226 0.05043 0.05385 0.07765 0.02417 0.152503 8 0.59002±0.00618 0.12849 0.17540±0.00438 0.16563±0.01029 0.05570±0.06325 0.01416 0.05434 0.00970 0.01399 0.02361 0.051433 9 0.60758±0.00578 -0.34869 0.17485±0.00437 0.15465±0.01149 0.11552±0.06934 0.01406 0.04444 0.02640 0.03807 0.02211 0.008053 10 0.56622±0.00554 -0.41468 0.07509±0.00188 0.05769±0.01028 0.23169±0.13822 0.01521 0.04521 0.07311 0.10543 0.01921 0.008453 11 0.57491±0.00599 -0.08986 0.01280±0.00032 0.00805±0.00221 0.37095±0.17371 0.01527 0.05553 0.09296 0.13405 0.01573 0.001424 6 0.45966±0.00838 0.01155 0.02954±0.00074 0.02312±0.00193 0.21737±0.06806 0.02085 0.06109 0.00518 0.00747 0.01957 0.430214 7 0.60317±0.00672 0.26008 0.09392±0.00235 0.07961±0.00694 0.15239±0.07692 0.01165 0.03453 0.03666 0.05287 0.02119 0.301394 8 0.61362±0.00641 0.58947 0.14965±0.00374 0.14570±0.01517 0.02636±0.10428 0.01186 0.04204 0.05215 0.07520 0.02434 0.114144 9 0.65257±0.00575 0.29632 0.26646±0.00666 0.25398±0.01228 0.04684±0.05190 0.01169 0.03635 0.01472 0.02123 0.02383 0.014154 10 0.63762±0.00592 -0.51317 0.22298±0.00557 0.19569±0.01540 0.12236±0.07247 0.01394 0.04144 0.03047 0.04394 0.02194 0.007194 11 0.57657±0.00409 -0.51597 0.08928±0.00223 0.06001±0.01275 0.32782±0.14378 0.01020 0.04756 0.07651 0.11033 0.01680 0.012734 12 0.59410±0.00627 -0.05973 0.01084±0.00027 0.00513±0.00154 0.52652±0.14228 0.01198 0.05984 0.07293 0.10517 0.01184 0.025805 7 0.54064±0.01304 0.02007 0.02092±0.00052 0.01527±0.00164 0.27001±0.08069 0.02461 0.07124 0.01270 0.01831 0.01825 0.328715 8 0.64462±0.00834 0.21364 0.07332±0.00183 0.06272±0.00584 0.14454±0.08241 0.01333 0.03967 0.03858 0.05563 0.02139 0.179855 9 0.67341±0.00646 0.61228 0.17290±0.00432 0.16831±0.01596 0.02653±0.09548 0.01094 0.04046 0.04688 0.06760 0.02434 0.092445 10 0.68052±0.00632 0.21782 0.26343±0.00659 0.24995±0.01144 0.05116±0.04949 0.01246 0.03691 0.01095 0.01579 0.02372 0.039765 11 0.67450±0.00636 -0.66792 0.20705±0.00518 0.18004±0.01876 0.13048±0.09318 0.01491 0.04869 0.04271 0.06158 0.02174 0.015385 12 0.50327±0.00376 -0.30825 0.05106±0.00128 0.02740±0.00757 0.46327±0.14884 0.00895 0.04711 0.07993 0.11526 0.01342 0.022455 13 0.60968±0.00747 -0.03382 0.00802±0.00020 0.00285±0.00085 0.64416±0.10693 0.01062 0.04045 0.05585 0.08054 0.00890 0.018956 8 0.69971±0.02523 0.01054 0.01171±0.00029 0.00722±0.00115 0.38343±0.09920 0.03019 0.09085 0.01191 0.01718 0.01541 0.351946 9 0.66298±0.00834 0.35481 0.08903±0.00223 0.07909±0.00899 0.11169±0.10339 0.01231 0.03838 0.05276 0.07608 0.02221 0.219276 10 0.70304±0.00633 0.74910 0.24368±0.00609 0.22994±0.01912 0.05641±0.08193 0.01012 0.03087 0.04070 0.05869 0.02359 0.058536 11 0.73472±0.00590 -0.05477 0.37033±0.00926 0.35245±0.01384 0.04829±0.04429 0.01151 0.03538 0.00196 0.00282 0.02379 0.038976 12 0.67693±0.00552 -0.73247 0.19976±0.00499 0.16147±0.01957 0.19171±0.10003 0.01248 0.04676 0.04854 0.07000 0.02021 0.002486 13 0.60041±0.00475 -0.32009 0.05395±0.00135 0.03195±0.00799 0.40776±0.14882 0.01067 0.05305 0.07855 0.11327 0.01481 0.000006 14 0.62766±0.00713 -0.04655 0.01122±0.00028 0.00428±0.00126 0.61887±0.11291 0.01033 0.05705 0.05495 0.07923 0.00953 0.000007 9 2.46224±0.22363 -0.00494 0.01000±0.00025 0.00417±0.00186 0.58332±0.18655 0.07091 0.17185 0.00654 0.00943 0.01042 0.493977 10 0.73559±0.01061 0.25807 0.06655±0.00166 0.05745±0.00676 0.13672±0.10392 0.01319 0.04519 0.05134 0.07404 0.02158 0.130967 11 0.74286±0.00653 0.93129 0.30470±0.00762 0.28274±0.02372 0.07208±0.08124 0.00955 0.03048 0.04046 0.05835 0.02320 0.072657 12 0.74249±0.00644 -0.06811 0.33530±0.00838 0.30806±0.01192 0.08124±0.04232 0.01205 0.03311 0.00269 0.00388 0.02297 0.037357 13 0.73861±0.00695 -0.60909 0.19450±0.00486 0.16090±0.01604 0.17275±0.08505 0.01445 0.03610 0.04146 0.05978 0.02068 0.000007 14 0.68837±0.00728 -0.35794 0.06564±0.00164 0.04378±0.00909 0.33309±0.13945 0.01572 0.05359 0.07219 0.10410 0.01667 0.000007 15 0.60810±0.00483 -0.04191 0.01436±0.00036 0.00418±0.00109 0.70871±0.07596 0.00529 0.03303 0.03864 0.05572 0.00728 0.000008 10 1.41392±0.19888 -0.00042 0.00767±0.00019 0.00216±0.00138 0.71885±0.17986 0.06040 0.16926 0.00072 0.00104 0.00703 0.929908 11 0.94648±0.02298 0.12394 0.04498±0.00112 0.03745±0.00411 0.16724±0.09366 0.02186 0.06133 0.03648 0.05261 0.02082 0.462868 12 0.80365±0.00984 0.41281 0.24504±0.00613 0.23029±0.01716 0.06019±0.07386 0.01499 0.05610 0.02230 0.03216 0.02350 0.083558 13 0.79269±0.00726 -0.00990 0.37684±0.00942 0.34489±0.01518 0.08478±0.04632 0.01252 0.03828 0.00035 0.00050 0.02288 0.019268 14 0.77557±0.00655 -0.84875 0.31164±0.00779 0.26518±0.02382 0.14909±0.07933 0.01304 0.04083 0.03606 0.05199 0.02127 0.000008 15 0.74180±0.00728 -0.62923 0.13000±0.00325 0.09530±0.01688 0.26688±0.13110 0.01534 0.06302 0.06408 0.09241 0.01833 0.000588 16 0.76397±0.01030 -0.04224 0.01415±0.00035 0.00476±0.00141 0.66338±0.09979 0.01079 0.07045 0.03951 0.05698 0.00842 0.008999 11 1.77648±0.25759 -0.00343 0.00574±0.00014 0.00115±0.00109 0.80014±0.19063 0.06335 0.17919 0.00790 0.01140 0.00500 0.859559 12 1.45145±0.17269 -0.00304 0.00807±0.00020 0.00096±0.00045 0.88057±0.05613 0.02969 0.04673 0.00498 0.00718 0.00299 0.894069 13 1.55895±0.15108 -0.00348 0.01230±0.00031 0.00208±0.00066 0.83093±0.05395 0.03003 0.04413 0.00375 0.00540 0.00423 0.862479 14 1.04036±0.02375 -0.00795 0.08931±0.00223 0.07569±0.00775 0.15249±0.08936 0.02913 0.08175 0.00118 0.00170 0.02119 0.518049 15 0.80685±0.00781 -0.63919 0.35149±0.00879 0.30143±0.02109 0.14243±0.06372 0.01423 0.04017 0.02407 0.03472 0.02144 0.118639 16 0.74333±0.00551 -1.19258 0.34914±0.00873 0.25086±0.03005 0.28150±0.08792 0.01040 0.03166 0.04522 0.06521 0.01796 0.04287Table F.31: Pass 3 Target LD2, Energy 362, Octant 7, sbfil= 1.02400 ± 0.00500, r= -0.42856212CED FPD # m Ymeastot Ysimela fback σ# σYsimela,inomσbmeasnom σsoct σYmeastot sother1 3 0.65433±0.00867 0.04536 0.07806±0.00195 0.06721±0.00500 0.13898±0.06760 0.02014 0.05876 0.00769 0.01372 0.02153 0.423681 4 0.61308±0.00701 0.17876 0.07682±0.00192 0.06298±0.00594 0.18023±0.08002 0.01315 0.04291 0.03081 0.05495 0.02049 0.367331 5 0.59270±0.00612 0.44981 0.13001±0.00325 0.11911±0.01358 0.08385±0.10693 0.01196 0.04463 0.04580 0.08171 0.02290 0.269681 6 0.58139±0.00552 0.42317 0.18969±0.00474 0.17578±0.01468 0.07331±0.08079 0.01320 0.04656 0.02953 0.05268 0.02317 0.054421 7 0.50741±0.00492 -0.22625 0.14289±0.00357 0.12932±0.00979 0.09496±0.07215 0.01875 0.05005 0.02096 0.03739 0.02263 0.027451 8 0.34949±0.00531 -0.31107 0.03528±0.00088 0.02880±0.00911 0.18366±0.25912 0.03652 0.09178 0.11671 0.20820 0.02041 0.001931 9 0.36736±0.01157 -0.08295 0.00416±0.00010 0.00433±0.00242 -0.03936±0.58083 0.12614 0.17289 0.26373 0.47046 0.02598 0.028592 4 0.71408±0.01184 -0.01421 0.05293±0.00132 0.04303±0.00429 0.18697±0.08350 0.02635 0.07623 0.00355 0.00634 0.02033 0.405472 5 0.67737±0.00876 0.13510 0.07137±0.00178 0.06003±0.00523 0.15882±0.07625 0.01592 0.04992 0.02506 0.04471 0.02103 0.351532 6 0.66170±0.00708 0.47565 0.12515±0.00313 0.11913±0.01418 0.04807±0.11578 0.01174 0.04596 0.05032 0.08976 0.02380 0.098262 7 0.67054±0.00724 0.11954 0.19165±0.00479 0.17245±0.01308 0.10016±0.07186 0.01710 0.06387 0.00826 0.01473 0.02250 0.085212 8 0.62281±0.00686 -0.23180 0.12691±0.00317 0.11137±0.01033 0.12250±0.08431 0.02175 0.06089 0.02418 0.04313 0.02194 0.002322 9 0.50070±0.00551 -0.43936 0.05710±0.00143 0.04278±0.01340 0.25078±0.23540 0.02744 0.10449 0.10186 0.18170 0.01873 0.017152 10 0.47769±0.00951 -0.10572 0.00608±0.00015 0.00573±0.00326 0.05804±0.53618 0.08155 0.24253 0.23012 0.41050 0.02355 0.024723 5 0.77895±0.01220 -0.00976 0.06093±0.00152 0.04999±0.00473 0.17944±0.08031 0.02482 0.07344 0.00212 0.00378 0.02051 0.417363 6 0.70475±0.00803 0.13214 0.09346±0.00234 0.07774±0.00572 0.16820±0.06463 0.01474 0.04541 0.01872 0.03339 0.02079 0.314303 7 0.69001±0.00682 0.53175 0.18122±0.00453 0.17234±0.01760 0.04898±0.10000 0.01218 0.05455 0.03885 0.06930 0.02378 0.152503 8 0.70208±0.00718 0.13157 0.21565±0.00539 0.20282±0.01525 0.05950±0.07450 0.01694 0.06662 0.00808 0.01441 0.02351 0.051433 9 0.67534±0.00680 -0.35706 0.18059±0.00451 0.15694±0.01505 0.13100±0.08614 0.02027 0.06059 0.02617 0.04669 0.02173 0.008053 10 0.61584±0.00687 -0.42463 0.06093±0.00152 0.04652±0.01254 0.23657±0.20669 0.02946 0.07676 0.09226 0.16458 0.01909 0.008453 11 0.50326±0.00649 -0.09201 0.00742±0.00019 0.00417±0.00263 0.43784±0.35410 0.03617 0.10616 0.16409 0.29272 0.01405 0.001424 6 0.85275±0.01404 0.01183 0.05847±0.00146 0.04351±0.00445 0.25583±0.07833 0.02236 0.07252 0.00268 0.00478 0.01860 0.430214 7 0.72309±0.00723 0.26633 0.12570±0.00314 0.10739±0.00886 0.14571±0.07364 0.01186 0.03918 0.02805 0.05004 0.02136 0.301394 8 0.72173±0.00687 0.60362 0.20663±0.00517 0.19841±0.01899 0.03980±0.09500 0.01166 0.04537 0.03867 0.06899 0.02400 0.114144 9 0.73307±0.00625 0.30343 0.31275±0.00782 0.29911±0.01661 0.04361±0.05824 0.01371 0.04407 0.01284 0.02291 0.02391 0.014154 10 0.69448±0.00685 -0.52548 0.22118±0.00553 0.19050±0.01964 0.13873±0.09136 0.02061 0.05763 0.03145 0.05611 0.02153 0.007194 11 0.58096±0.00493 -0.52835 0.06417±0.00160 0.04142±0.01536 0.35448±0.23991 0.02166 0.08447 0.10900 0.19445 0.01614 0.012734 12 0.54266±0.00681 -0.06117 0.00660±0.00016 0.00263±0.00183 0.60152±0.27703 0.02705 0.11376 0.12271 0.21890 0.00996 0.025805 7 1.00997±0.02190 0.02055 0.04208±0.00105 0.02982±0.00373 0.29137±0.09052 0.02605 0.08382 0.00647 0.01153 0.01772 0.328715 8 0.76612±0.00878 0.21877 0.09864±0.00247 0.08494±0.00748 0.13884±0.07883 0.01321 0.04439 0.02936 0.05238 0.02153 0.179855 9 0.71440±0.00632 0.62697 0.21382±0.00535 0.20636±0.01954 0.03488±0.09454 0.01096 0.04397 0.03882 0.06925 0.02413 0.092445 10 0.69958±0.00643 0.22305 0.27633±0.00691 0.26663±0.01465 0.03509±0.05826 0.01532 0.04582 0.01069 0.01906 0.02412 0.039765 11 0.64395±0.00670 -0.68395 0.17151±0.00429 0.14455±0.02255 0.15718±0.13316 0.02404 0.07109 0.05279 0.09418 0.02107 0.015385 12 0.44563±0.00405 -0.31565 0.03176±0.00079 0.01554±0.00898 0.51085±0.28310 0.01964 0.08494 0.13157 0.23471 0.01223 0.022455 13 0.51683±0.00778 -0.03463 0.00456±0.00011 0.00131±0.00101 0.71339±0.22074 0.02464 0.07632 0.10050 0.17928 0.00717 0.018956 8 1.48612±0.04804 0.01079 0.02621±0.00066 0.01633±0.00300 0.37675±0.11559 0.03254 0.10925 0.00545 0.00973 0.01558 0.351946 9 0.85711±0.00956 0.36333 0.13051±0.00326 0.12157±0.01143 0.06846±0.09061 0.01219 0.04288 0.03686 0.06575 0.02329 0.219276 10 0.76528±0.00631 0.76708 0.30281±0.00757 0.28672±0.02342 0.05311±0.08089 0.01028 0.03426 0.03354 0.05983 0.02367 0.058536 11 0.75282±0.00615 -0.05608 0.37896±0.00947 0.35851±0.01798 0.05397±0.05300 0.01486 0.04487 0.00196 0.00349 0.02365 0.038976 12 0.67054±0.00634 -0.75004 0.16672±0.00417 0.12873±0.02373 0.22785±0.14361 0.02176 0.07030 0.05956 0.10625 0.01930 0.002486 13 0.55845±0.00529 -0.32777 0.03500±0.00088 0.01836±0.00953 0.47550±0.27251 0.02319 0.09634 0.12396 0.22114 0.01311 0.000006 14 0.57932±0.00806 -0.04767 0.00754±0.00019 0.00223±0.00150 0.70384±0.19931 0.02202 0.09927 0.08374 0.14939 0.00740 0.000007 9 2.81481±0.25018 -0.00506 0.01089±0.00027 0.00388±0.00269 0.64380±0.24690 0.09226 0.22849 0.00615 0.01097 0.00891 0.493977 10 1.05370±0.01325 0.26427 0.10905±0.00273 0.09957±0.00910 0.08691±0.08656 0.01273 0.05005 0.03208 0.05723 0.02283 0.130967 11 0.78186±0.00633 0.95364 0.35934±0.00898 0.34385±0.02886 0.04312±0.08379 0.00994 0.03446 0.03513 0.06267 0.02392 0.072657 12 0.75253±0.00663 -0.06975 0.33454±0.00836 0.30897±0.01531 0.07645±0.05127 0.01575 0.04260 0.00276 0.00492 0.02309 0.037357 13 0.71921±0.00762 -0.62371 0.15931±0.00398 0.12884±0.01938 0.19130±0.12329 0.02452 0.05436 0.05183 0.09246 0.02022 0.000007 14 0.65918±0.00819 -0.36653 0.04297±0.00107 0.02693±0.01090 0.37330±0.25420 0.03420 0.09931 0.11293 0.20146 0.01567 0.000007 15 0.51208±0.00506 -0.04292 0.00863±0.00022 0.00216±0.00127 0.74986±0.14747 0.01169 0.05864 0.06585 0.11746 0.00625 0.000008 10 1.45134±0.19717 -0.00043 0.00799±0.00020 0.00218±0.00179 0.72780±0.22357 0.07282 0.21127 0.00071 0.00127 0.00680 0.929908 11 1.57299±0.03513 0.12691 0.07934±0.00198 0.07463±0.00701 0.05930±0.09145 0.02401 0.07320 0.02118 0.03778 0.02352 0.462868 12 0.97546±0.01148 0.42271 0.31408±0.00785 0.30511±0.02464 0.02855±0.08213 0.01728 0.06729 0.01782 0.03178 0.02429 0.083558 13 0.80082±0.00731 -0.01013 0.37918±0.00948 0.34793±0.01942 0.08243±0.05612 0.01588 0.04868 0.00035 0.00063 0.02294 0.019268 14 0.73590±0.00671 -0.86912 0.25780±0.00645 0.21192±0.02856 0.17797±0.11266 0.02048 0.05932 0.04463 0.07962 0.02055 0.000008 15 0.70463±0.00801 -0.64433 0.08871±0.00222 0.06235±0.02023 0.29714±0.22871 0.03135 0.11112 0.09615 0.17153 0.01757 0.000588 16 0.73856±0.01205 -0.04325 0.00946±0.00024 0.00262±0.00171 0.72273±0.18055 0.02393 0.12906 0.06053 0.10798 0.00693 0.008999 11 1.85984±0.28061 -0.00351 0.00567±0.00014 0.00080±0.00146 0.85954±0.25702 0.08854 0.24068 0.00820 0.01462 0.00351 0.859559 12 1.51430±0.18211 -0.00311 0.00831±0.00021 0.00071±0.00060 0.91406±0.07210 0.03856 0.06004 0.00496 0.00884 0.00215 0.894069 13 1.63590±0.15675 -0.00356 0.01309±0.00033 0.00182±0.00087 0.86094±0.06693 0.03709 0.05512 0.00360 0.00643 0.00348 0.862479 14 1.32102±0.02992 -0.00815 0.11737±0.00293 0.09544±0.01246 0.18678±0.10808 0.03538 0.10007 0.00092 0.00164 0.02033 0.518049 15 0.95782±0.00971 -0.65453 0.39151±0.00979 0.31892±0.02876 0.18540±0.07623 0.02014 0.05423 0.02213 0.03948 0.02036 0.118639 16 0.82272±0.00681 -1.22120 0.32819±0.00820 0.21530±0.03695 0.34398±0.11379 0.01732 0.04722 0.04926 0.08788 0.01640 0.04287Table F.32: Pass 3 Target LD2, Energy 362, Octant 8, sbfil= 1.00000 ± 0.00500, r= -0.73885213References[1] M. Gell-Mann, Phys. Lett. 8 214 (1964).[2] T. Adams et al. [NuTeV Collaboration], hep-ex/9906038.; V. Barone, C. Pascaud, F. Zomer,hep-ph/0004268.[3] J. Pumplin et al. JHEP07 012 (2002).[4] D. Mason et al. Phys. Rev. Lett. 99, 192001 (2007).[5] T. P. Cheng, Phys. Rev. D38, 2869 (1988).[6] J. Gasser and H. Leutwyler, Nucl. Phys. B250 465 (1985).[7] J. Gasser, H. Leutwyler and M. E. Sainio, Phys. Lett. B253, 252 (1991).[8] E. Reya, Rev. Mod. Phys. 46, 545 (1974).[9] J Bijnens, J. Prades and E. de Rafael, Phys. Lett. B348, 226 (1995).[10] D. B. Leinweber, A. W. Thomas and S. V. Wright, Phys. Lett. B482, 109 (2000).[11] S. J. Dong, J. F. Lagae and K. F. Liu, Phys. Rev. D54, 5496 (1996).[12] M. M. Pavan, R. A. Arndt, I. I. Strakovsky and R. L. Workman, nucl-th/9912034.[13] M. G. Olsson, Phys. Lett. B482, 50 (2000).[14] J. Ashman et al. [European Muon Collaboration], Nucl. Phys. B328, 1 (1989).[15] D. Adams et al. [Spin Muon Collaboration], Phys. Rev. D56, 5330 (1997).[16] K. Abe et al. [E143 Collaboration], Phys. Rev. D58, 112003 (1998).[17] P. L. Anthony et al. [E155 Collaboration], Phys. Lett. B493, 19 (2000).[18] A. Airapetian et al. [HERMES Collaboration], Phys. Lett. B442 484 (1998).[19] A. W. Thomas and W. Weise, The Structure of the Nucleon, Wiley-VCH, Berlin, 2001.[20] N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).[21] W. Willy et al., Phys. Rev. Lett. 13, 291 (1964).[22] Amsler et al. (Particle Data Group), Physics Letters B667, 1 (2008) and 2009 partial updatefor the 2010 edition.214[23] Y. Goto et al., Phys. Rev. D62, 034017 (2000).[24] J. Ashman et al. Nucl. Phys. B328 (1989).[25] A. Airapetian et al., (HERMES), Phys. Lett. B666, 446 (2008).[26] M. Alekseev et al., (COMPASS), Phys. Lett. B680, 217 (2009).[27] D. Florian et al. Phys. Rev. D75, 114010 (2007).[28] F.Halzen and A. Martin, Quarks and Leptons: An Introductory Course in Modern ParticlePhyscis John Wiley & Sons, New York (1984).[29] D. B. Kaplan and A. Manohar, Nucl. Phys. B310 (1988).[30] G. A. Miller, Phys. Rev. C57, 1492 (1998).[31] B. Kubis and R. Lewis, Phys. Rev. C74 015204 (2006).[32] D. H. Beck and B. R. Holstein, Int. J. Mod. Phys. E10 1 (2001).[33] M. J. Musolf, H.-W. Hammer, and D. Drechsel, Phys. Rev.. D55 2741 (1997).[34] M. J. Musolf, Proceedings of the PAVI/2002 Conference, Mainz, June 2002.[35] R. L. Jaffe, Phys. Lett. B229, 275 (1989).[36] D. Leinweber et al., Phys. Rev. Lett. 94, 212001 (2005); D. Leinweber et al., Phys. Rev. Lett.97, 022001 (2006); P. Wang et al., Phys. Rev. C79, 065202 (2009).[37] T. Doi, et al., Phys. Rev. D80, 094503 (2009).[38] M. J. Musolf and M. Burkardt, Z. Phys. C61, 433 (1994).[39] W. Koepf, E. M. Henley, and S. J. Pollock, Phys. Lett. B288 11 (1992).[40] B. R. Holstein in Proceedings of the Caltech Workshop on Parity Violation in Electron Scat-tering, E. J. Beise and R. D. McKeown, Eds., World Scientific, 27 (1990).[41] N. W. Park, J. Schechter, and H. Weigel, Phys. Rev. D43, 869 (1991).[42] S. Hong and B. Park, Nucl. Phys. A561, 525 (1993).[43] S. C. Phatak and Sarira Sahu, Phys. Lett. B321 11 (1994).[44] C. V. Christov, et al., Prog. Part. Nucl. Phys. 37, 1 (1996).[45] H.-W. Hammer, U.-G. Meissner, and D. Drechsel, Phys. Lett. B367, 323 (1996).[46] H. Ito, Phys. Rev. C52, R1750 (1995).[47] H. Weigel, et al., Phys. Lett. B353, 20 (1995).[48] D. Leinweber, Phys. Rev. D53, 5115 (1996).[49] P. Geiger and N. Isgur, Phys. Rev. D55, 299 (1997).215[50] L. Hannelius and D.-O. Riska, Phys. Rev. C62, 045204 (2000); L. Hannelius, D.-O. Riska, andL.-Y. Glozman, Nucl. Phys. A665, 353 (2000).[51] M. J. Ramsey-Musolf and H. Ito, Phys. Rev. C55, 3066 (1997).[52] U.-G. Meissner et al., hep-ph/9701296.[53] S-T. Hong, B-Y. Park, and D-P. Min, nucl-th/9706008.[54] S. J. Dong, K. F. Liu, and A. G. Williams, Phys. Rev. D58, 074504 (1998).[55] R. Lewis, et al. Phys. Rev. D67, 013003 (2003).[56] D. B. Leinweber and A. W. Thomas, Phys. Rev. D62, 074505 (2000).[57] V. E. Lyubovitskij, et al., Phys. Rev. C66, 055204 (2002).[58] A. Silva, et al. Phys. Rev. D65, 014016 (2001).[59] D. Leinweber, et al., Phys. Rev. Lett. 94, 212001 (2005).[60] M. J. Musolf et al., Phys. Rep. 239, No. 1 (1994).[61] R. Schiavilla, J. Carlson, and M. Paris, Phys. Rev. C70, 044007 (2004), and R. Schiavilla priv.comm.[62] J. Arvieux et al., Towards a Common PVA4-SAMPLE Analysis: a First Step, G0 InternalDocument, G0-doc-609-v1 (2005).[63] M. E. Peskin and D. V. Schroeder, An introduction to Quantum Field Theory, Perseus Books,Cambridge, (1995).[64] S. L. Zhu, S. J. Puglia, B. R. Holstein and M. J. Ramsey-Musolf, Phys. Rev. D62, 033008(2000).[65] D. T. Spayde, et al. (SAMPLE Collaboration), Phys. Lett. B583, 79 (2004).[66] V. Bernard, L. Elouadrhiri and U. Meissner, J. Phys. G28 R1 (2002).[67] J. A. Tjon, P. G. Blunden, and W. Melnitchouk, Phys. Rev. C79, 055201 (2009).[68] M. N. Rosenbluth, Phys. Rev. 79, 615 (1950).[69] R. G. Arnold, C. E. Carlson and F. Gross, Phys. Rev. C23 (1981).[70] S. Galster et al., Nucl. Phys. B32, 221 (1971).[71] J. Arrington, Phys. Rev. C69, 022201(R) (2004).[72] J. Arrington, Phys. Rev. C76, 035201 (2007).[73] J. J. Kelly, Phys. Rev. C70, 068202 (2004).[74] J. Friedrich and T. Walcher, Eur. Phys. J. A17, 607 (2003).216[75] J. Liu, A Measurement of the Strange Quark Contiributions to the Electromagnetic FormFactors of the Nucleon, Ph.D. thesis, University of Maryland, (2006).[76] K. Nakahara, Ph.D. thesis, University of Illinois at Urbana-Champion, (2006).[77] C. B. Crawford et al., Phys. Rev. Lett. 98, 052301 (2007).[78] A. Bodek et al., Eur. Phys. J. C53, 349 (2008).[79] D. T. Spayde, Measurement of the Strange Magnetic Form Factor of the Proton Using ElasticElectron Scattering, Ph.D. thesis, University of Maryland at College Park, (2001).[80] E. J. Beise, M. L. Pitt and D. T. Spayde, Prog. Part. Nucl. Phys. 54, 289 (2005).[81] G. Batigne, Mesure du contenu trange du nuclon : exprience G0, Ph.D. thesis, Universit JosephFourier, (2004).[82] F. E. Maas et al. (PVA4), Phys. Rev. Letter. 93, 022002 (2004).[83] F. E. Maas et al. (PVA4), Phys. Rev. Letter. 94, 152001 (2005).[84] S. Baunack et al., (PVA4), Phys. Rev. Lett. 102, 151803 (2009).[85] R. Bijker http://arxiv.org/abs/nucl-th/0701022v1.[86] K. A. Aniol et al. (HAPPEX), Phys. Rev. C 69, 065501 (2004).[87] K. A. Aniol et al. (HAPPEX), nucl-ex/0506011.[88] K. A. Aniol et al. (HAPPEX), nucl-ex/0506010.[89] A. Acha et al., (HAPPEx), Phys. Rev. Lett. 98, 032301 (2007).[90] D. S. Armstrong et al. (G0), Phys. Rev. Lett. 95, 092001 (2005).[91] J. Liu, R. D. McKeown and M. J. Ramsey-Musolf, Phys. Rev. C76, 025202 (2007).[92] C. K. Sinclair et al., Phys. Rev. ST Accel. Beams 10, 023501 (2007).[93] M. Poelker, SPIN PHYSICS: 18th International Spin Physics Symposium 1149, 174-179(2009).[94] J. M. Grames et al., Phys. Rev. ST Accel. Beams 7, 042802 (2004).[95] J.P. Chen, et.al; Hall A Experimental Equipment Operations Manual[96] S. Bailey, Partiy-Violation in Elastic Electron Scattering: A First Measurement of the Parity-Violating Asymmetry at Q2=0.631 (GeV/C)2 at Backward Angle, Ph.D. thesis, The College ofWilliam and Mary, (2006).[97] M. Hauger et al., NIM A462 382 (2001).[98] C. Ellis, G0 Internal Document, G0-doc-845v1 (2009).[99] D. Gaskell, G0 Internal Document, G0-doc-804v1 (2008).217[100] S. D. Covrig, A Measurement of Parity-violating Asymmetries in the G0 Experiment in For-ward Mode, Ph.D. thesis, California Institute of Technology, 2004.[101] S. D. Covrig et al., Nucl. Instrum. Meth. A551, 218 (2005).[102] C. Yan, N. Sinkine and R. Wojcik, NIM A539 1 (2005).[103] P. Roos, Eur. Phys. J. A24, 59 (2005); and in preparation for NIM[104] J. Martin, Parity Violating Photoproduction of Negative Pions from Deuterium on theDELTA-Resonance, A Proposal to the Jefferson Lab PAC, G0 internal document, G0-doc-503(2005).[105] H. Breuer,C. Ellis and T.R. Gentile, UMD Technical Report Number, PP 06-052 (2006).[106] D.H. Beck for the G0 Collaboration, G0 Backward Angle Experiment, A Proposal to theJefferson Lab PAC, PR05-108, (2005).[107] CEBAF On-line Data Acquisition Users Manual (1995).[108] R. Brun and F. Rademakers, NIM A389 81 (1997). More detailed information can be foundat http://root.cern.ch/.[109] A. Biselli, et.al., G0 Internal Document, G0-doc-643v1 (2003).[110] See http://www.mysql.com.[111] E. Beise, Private communication.[112] J. Mammei, G0 Internal Document, G0-doc-822v2 (2009).[113] J. REAL, G0 Internal Document, Status on the Grenoble Scalers behavior and RCS problemin G0 backward angle measurement (2009).[114] C. Capuano, G0 Internal Document, G0-doc-711v1 (2007).[115] C. Furget, G0 Internal Document, G0-doc-821v1 (2009).[116] M. Versteegen, G0 Internal Document, ELOG: Anlaysis 277 (2008).[117] M. Versteegen, Ph.D. Thesis, LPSC 09-148,, Mesure par violation de parite de la contributionetrange ‘a la structure electromagnetique du nucleon dans lexperience G0 (2009).[118] E. Beise, G0 Internal Document, ELOG: Simulation 44 (2006).[119] J. Schaub, G0 Internal Document, G0 Beam Parameter Linear Regression, ELOG: Anlaysis342 (2009).[120] G. Smith, G0 Internal Document, G0-doc-648-v1 (2006).[121] C. Ellis, G0 Internal Document, Electromagnetic Radiative Corrections for the Gzero Exper-iment at Backward Angles, G0-doc-840v4 (2009).[122] R. Schiavilla, J. Carlson, and M. Paris, Phys. Rev. C70, 044007 (2004), and R. Schiavillapriv. comm.218[123] C. E. Keppel, Ph.D. thesis, The American University, (1994).[124] D. Drechsel, O. Hanstein, S.S. Kamalov, L. Tiator, Nucl. Phys. A645 145-174 (1999).[125] Quasielastic Electron Nucleus Scattering Archive, nucl-ex/0603032; O. Benhar, D. Day andI. Sick, Rev. Mod. Phys. 80, 189-224, (2008).[126] M. Muether, G0 Internal Document, ELOG: Simulation 165 (2006).[127] E. Beise, G0 Internal Document, ELOG: Simulation 103 (2008).[128] C. Coppens, G0 Internal Document, ELOG: Anlaysis 26 (2006).[129] M. Muether, G0 Internal Document, ELOG: Anlaysis 331 (2009).[130] A. Coppens, G0 Internal Document, ELOG: Anlaysis 294 (2009).[131] M. Muether, G0 Internal Document, Hall C Log: 133906 (2007); Private communicationswith F. Benmokhtar, E. Beise, and P. Bosted.[132] A. Coppens, G0 Internal Document, ELOG: Anlaysis 308 (2009).[133] J. Mammei, G0 Internal Document, ELOG: Analysis 340 (2009).[134] L. W. Mo and Y. S. Tsai, Rev. Mod. Phys. 41 205 (1969).; Y.-S. Tsai, SLAC Report No.SLAC-Pub-848, 1971.[135] J. Mammei, G0 Internal Document, Q2 Determination for the Backward Running Phase ofthe G0 Experiment, G0-doc-829-v3, (2009).[136] J. Mammei, G0 Internal Document, G0-doc-838-v3 (2009).[137] F. Benmokhtar, G0 Internal Document, G0-doc-825-v3 (2009).[138] J. A. Tjon, P. G. Blunden and W. Melnitchouk, Phys. Rev. C79, 055201 (2009).[139] H. Q. Zhou, C. W. Kao, S. N. Yang, arXiv:0811.3539v1 (2008).[140] D. Androic et. al., Phys. Rev. Lett 104, 012001 (2010).[141] J. Mammei, G0 Internal Document, G0-doc-839-v1 (2009).[142] L. Lee, G0 Internal Document, North American Cerenkov Detector Manual, G0-doc-628-v2,(2006).[143] E. Leader, A. V. Sidorov, and D. B. Stamenov. On the role of higher twist in polarized deepinelastic scattering. Phys. Rev. D67 074017, (2003).[144] See http://www.npl.uiuc.edu/exp/G0/Backward.[145] K. A. Aniol et. al., A Measurement of Nucleon Strange Form Factor at High Q2, PR05-109(2005).[146] X. Ji, Generalized Parton Distributions, Annual Review of Nuclear and Particle Science 54413-450, (2004).219[147] Measurement of the Parity Violating Asymmetry in the N → ∆ Transition, (S. P. Wells,N. Simicevic, cospokespersons), proposal to JLab PAC 26 (2004).[148] Measuring the Two-photon Exchange Amplitude with Vector Analyzing Powers in ElasticElectron-proton Scattering, (S. P. Wells, P. M. King, cospokespersons), proposal to JLab PAC26 (2004).[149] A. Coppens, Parity violating asymmetries in the G0 experiment; Pion photoproduction onthe ∆ resonance, Ph.D. thesis, University of Manitoba, (2010).[150] L. Yuan, L. Cole, and L. Tang. Operation and Tracking of HKS Drift Chamber. Internal HallC Document, (2004).[151] M. Muether, Collaboration Presentation, G0-doc-719-v1 (2007).220

Parity violating electron scattering on the proton and deuteron at backward angles

Abstract

Extracted data

Parity violating electron scattering on the proton and deuteron at backward angles

Abstract

Extracted data

Related items

Related items