Likelihood analysis of supersymmetric SU(5) GUTs

We perform a likelihood analysis of the constraints from accelerator experiments and astrophysical observations on supersymmetric (SUSY) models with SU(5) boundary conditions on soft SUSY-breaking parameters at the GUT scale. The parameter space of the models studied has seven parameters: a universal gaugino mass m, distinct masses for the scalar partners of matter fermions in five- and ten-dimensional representations of SU(5), m and m, and for the 5 and 5¯ Higgs representations mHu and mHd, a universal trilinear soft SUSY-breaking parameter A, and the ratio of Higgs vevs tan β. In addition to previous constraints from direct sparticle searches, low-energy and flavour observables, we incorporate constraints based on preliminary results from 13 TeV LHC searches for jets + [InlineEquation not available: see fulltext.] events and long-lived particles, as well as the latest PandaX-II and LUX searches for direct Dark Matter detection. In addition to previously identified mechanisms for bringing the supersymmetric relic density into the range allowed by cosmology, we identify a novel u~R/c~R-χ~10 coannihilation mechanism that appears in the supersymmetric SU(5) GUT model and discuss the role of ν~ coannihilation. We find complementarity between the prospects for direct Dark Matter detection and SUSY searches at the LHC.The work of M.B., V.C., M.L. and D.M.-S. is supported by the European Research Council via Grant BSMFLEET 639068. The work of R.C. is supported in part by the National Science Foundation under Grant No. PHY-1151640 at the University of Illinois Chicago, and in part by Fermilab, operated by Fermi Research Alliance, LLC under Contract No. De-AC02-07CH11359 with the United States Department of Energy. This work of M.J.D. is supported in part by the Australian Research Council. The work of J.E. is supported in part by STFC (UK) via the research Grant ST/L000326/1, and the work of H.F. is also supported in part by STFC (UK). The work of S.H. is supported in part by CICYT (Grant FPA 2013-40715-P) and also by the Spanish MICINN Consolider-Ingenio 2010 Program under Grant MultiDark CSD2009-00064. The work of K.A.O. is supported in part by DOE Grant de-sc0011842 at the University of Minnesota. The work of K.S. is partially supported by the National Science Centre, Poland, under research Grants DEC-2014/15/B/ST2/02157 and DEC-2015/18/M/ST2/00054. The work of G.W. is supported in part by the Collaborative Research Center SFB676 of the DFG, “Particles, Strings and the early Universe”, and in part by the European Commission through the “HiggsTools” Initial Training Network PITN-GA-2012-316704.Peer Reviewe