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.

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

References in corpus (6)

• Electroweak corrections to the muon anomalous magnetic moment
• Electroweak Fermion-loop Contributions to the Muon Anomalous Magnetic Moment
• Calculation of Feynman Diagrams from their Small Momentum Expansion
• Euclidean asymptotic expansions of Green functions of quantum fields (I) Expansions of products of singular functions
• Zero-threshold expansion of two-loop self-energy diagrams
• Euclidean asymptotic expansions of Green functions of quantum fields (II) Combinatorics of the asymptotic operation

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• Automatic Computation of Feynman Diagrams
• About higher order epsilon-expansion of some massive two- and three-loop master-integrals
• Towards Automatic Analytic Evaluation of Diagrams with Masses
• Full two-loop electroweak corrections to the pole masses of gauge bosons
• Renormalon chains contributions to the non-singlet evolutional kernels in ${\varphi }_6^3$ and QCD
• Steps towards full two-loop calculations for 2 fermion to 2 fermion processes: running versus pole masses schemes
• Parallel Computation of Feynman diagrams with DIANA