Towards automatic analytic evaluation of diagrams with masses

Avdeev LV, Fleischer J, Kalmykov MY, Tentyukov MN. Towards automatic analytic evaluation of diagrams with masses. Computer Physics Communications. 1997;107(1-3):155-166.A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon 1/2(g - 2)(mu). Presently, we confine ourselves to a "toy" model with only mu, gamma and a heavy neutral scalar particle (Higgs). The algorithm is implemented as a FORM-based program package, For generating and automatically evaluating any number of two-loop self-energy diagrams, a special C program has been written. This program creates the initial FORM-expression for every diagram generated by QGRAF, executes the corresponding subroutines and sums up the final results. (C) 1997 Elsevier Science B.V