Towards Automatic Analytic Evaluation of Massive Feynman Diagrams

Abstract

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 scalar particle (Higgs). The algorithm is implemented as a package of computer programs in FORM. 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.

Comments: LaTeX, 6 pades, including 1 eps-figure; Contribution to Proceeding of 5th Workshop on Software Engineering and Artificial Intelligence for High Energy And Nuclear Physics (AIHEN96), Lausanne, 1-6 Sept. 1996