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Generalized Hypergeometric Functions and the Evaluation of Scalar One-loop Integrals in Feynman Diagrams

Luis G. Cabral-Rosetti·Miguel A. Sanchis-Lozano
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Abstract

Present and future high-precision tests of the Standard Model and beyond for the fundamental constituents and interactions in Nature are demanding complex perturbative calculations involving multi-leg and multi-loop Feynman diagrams. Currently, large effort is devoted to the search for closed expressions of loop integrals, written whenever possible in terms of known - often hypergeometric-type - functions. In this work, the scalar three-point function is re-evaluated by means of generalized hypergeometric functions of two variables. Finally, use is made of the connection between such Appell functions and dilogarithms coming from a previous investigation, to recover well-known results.

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Luis G. Cabral-Rosetti, Miguel A. Sanchis-Lozano. 1998-11-23. Generalized Hypergeometric Functions and the Evaluation of Scalar One-loop Integrals in Feynman Diagrams. https://arxiv.org/abs/hep-ph/9809213

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