Hypergeometric functions, their epsilon expansions and Feynman diagrams
High Energy Physics - Theory
2008-11-01 v4 High Energy Physics - Phenomenology
Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We review the hypergeometric function approach to Feynman diagrams. Special consideration is given to the construction of the Laurent expansion. As an illustration, we describe a collection of physically important one-loop vertex diagrams for which this approach is useful.
Keywords
Cite
@article{arxiv.0810.3238,
title = {Hypergeometric functions, their epsilon expansions and Feynman diagrams},
author = {M. Yu. Kalmykov and Bernd A. Kniehl and B. F. L. Ward and S. A. Yost},
journal= {arXiv preprint arXiv:0810.3238},
year = {2008}
}
Comments
15 pages, Latex, 1-eps figure; v2: few references added; v3: style corrections; v4: typo in Eq.(2) is corrected; based on a talk given by M.Kalmykov at 15th International Seminar on High-Energy Physics: Quarks-2008,Sergiev Posad, Russia, 23-29 May, 2008. The FORM code is available via the WWW at http://theor.jinr.ru/~kalmykov/hypergeom/hyper.html