Towards Automatic Analytic Evaluation of Massive Feynman Diagrams

Details Towards Automatic Analytic Evaluation of Massive Feynman Diagrams Towards Automatic Analytic Evaluation of Massive Feynman Diagrams

1996-10-24

arxiv.org/abs/hep-ph/9610467v1

Nucl.Instrum.Meth.A389:343-346,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 6 pades, including 1 eps-figure; Contribution to Proceeding of 5th Workshop on Software Engineering and Artificial Inte

Scientific paper

10.1016/S0168-9002(97)00125-3

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.

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