Generalized Hypergeometric Functions and the Evaluation of Scalar One-loop Integrals in Feynman Diagrams
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.
Keywords
Cite
@article{arxiv.hep-ph/9809213,
title = {Generalized Hypergeometric Functions and the Evaluation of Scalar One-loop Integrals in Feynman Diagrams},
author = {Luis G. Cabral-Rosetti and Miguel A. Sanchis-Lozano},
journal= {arXiv preprint arXiv:hep-ph/9809213},
year = {2011}
}
Comments
LaTeX, 9 pages, 2 EPS figures. Presented at Int. Cong. Compt. Appl. Math. (ICCAM 98), Leuven (Belgium), July 27 - August 1, 1998. One reference added. To be published in J. Comput . Appl. Math