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arXiv · hep-ph/9710222

Towards Automatic Analytic Evaluation of Diagrams with Masses

L. Avdeev·J. Fleischer·M. Yu. Kalmykov·M. N. Tentyukov
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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 ${{1/2}(g-2)}_μ$. Presently, we confine ourselves to a ``toy'' model with only $μ$, $γ$ 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.

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L. Avdeev, J. Fleischer, M. Yu. Kalmykov, M. N. Tentyukov. 1997-10-02. Towards Automatic Analytic Evaluation of Diagrams with Masses. https://doi.org/10.1016/s0010-4655(97)00112-4

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