Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams

DOI10.1016/S0377-0427(99)00121-1zbMath0976.33011arXivhep-ph/9809213MaRDI QIDQ1971819

Luis G. Cabral-Rosetti, Miguel Angel Sanchis-Lozano

Publication date: 27 December 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/9809213

zbMATH Keywords

dilogarithmhypergeometric seriesFeynman diagramAppell functionloop integral

Mathematics Subject Classification ID

Feynman diagrams (81T18) Appell, Horn and Lauricella functions (33C65)

Related Items (6)

Anapole moment of the lightest neutralino in the cMSSM ⋮ On some formulas for the Appell functionF₃(a,a′,b,b′;c;w,z) ⋮ Evaluation of conformal integrals ⋮ Triangle diagram, distance geometry and symmetries of Feynman integrals ⋮ Finding new relationships between hypergeometric functions by evaluating Feynman integrals ⋮ New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

Uses Software

• TARCER
• oneloop 2.0
• LoopTools

Cites Work

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• TARCER -- a Mathematica program for the reduction of two-loop propagator integrals
• Simple connections between generalized hypergeometric series and dilogarithms
• A new approach to the Taylor expansion of multiloop Feynman diagrams
• \(oneloop 2. 0\) -- A program package calculating one-loop integrals
• Some exact results for N-point massive Feynman integrals
• Nielsen’s Generalized Polylogarithms
• Recursive algorithm for evaluating vertex-type Feynman integrals

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