Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams
type: Item
instance of: scholarly article
title: Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams
zbMATH Open document ID: 0976.33011
DOI: 10.1016/S0377-0427(99)00121-1
author: Luis G. Cabral-Rosetti
author: Miguel Angel Sanchis-Lozano
published in: Journal of Computational and Applied Mathematics
publication date: 2001-12-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-ph/9809213
review text: In this paper the sacalar three-point function occurring in Feyman diagrams is re-evaluated by means of generalized hypergeometric functions of two variables. Use is made of the connection between such Appell functions and dilogarithms coming from a previous investigation. Algorithms for Feynman diagrams are given by \textit{L. Brücher, J. Franzkowski} and \textit{D. Kreimer} [Comput. Phys. Commun. 107, No. 1-3, 281-292 (1997; Zbl 0939.81504)].
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 81T18
zbMATH DE Number: 1423311
zbMATH Keywords: Feynman diagram
zbMATH Keywords: loop integral
zbMATH Keywords: hypergeometric series
zbMATH Keywords: Appell function
zbMATH Keywords: dilogarithm
reviewed by: Nico M. Temme
describes a project that uses: TARCER
describes a project that uses: oneloop 2.0
describes a project that uses: LoopTools
MaRDI profile type: Publication
arXiv ID: hep-ph/9809213
cites work: \(oneloop 2. 0\) -- A program package calculating one-loop integrals
cites work: Some exact results for N-point massive Feynman integrals
cites work: Recursive algorithm for evaluating vertex-type Feynman integrals
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cites work: TARCER -- a Mathematica program for the reduction of two-loop propagator integrals
cites work: Simple connections between generalized hypergeometric series and dilogarithms
cites work: Q5508372
cites work: Q5577739
cites work: A new approach to the Taylor expansion of multiloop Feynman diagrams
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description: scientific article