A new approach to the Taylor expansion of multiloop Feynman diagrams

DOI10.1016/S0550-3213(96)00466-XzbMath0925.81118arXivhep-ph/9606238MaRDI QIDQ1815529

Oleg V. Tarasov

Publication date: 12 November 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9606238

zbMATH Keywords

dimensional regularizationgenerating functiondifferential operatorrecurrence relationsexpansion momenta

Mathematics Subject Classification ID

Feynman diagrams (81T18)

Related Items

Analytic result for the one-loop scalar pentagon integral with massless propagators, PV-reduction of sunset topology with auxiliary vector, Effective field theory islands from perturbative and nonperturbative four-graviton amplitudes, Two-loop vertices in quantum field theory: infrared convergent scalar configurations, Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams, An approach toward the numerical evaluation of multi-loop Feynman diagrams, Massless on-shell box integral with arbitrary powers of propagators, Feynman integrals as A-hypergeometric functions, Application of the negative-dimension approach to massless scalar box integrals, Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators, SECTOR DECOMPOSITION

Uses Software

• FORM
• Algorithm 719

Cites Work

• Quantum field theory techniques in graphical enumeration
• Algorithm 719: Multiprecision translation and execution of FORTRAN programs
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