arXiv:0810.3238·v4·High Energy Physics — Theory
Hypergeometric functions, their epsilon expansions and Feynman diagrams
M. Yu. Kalmykov (Hamburg U., Inst. Theor. Phys. II & Dubna, JINR)🇩🇪 · Bernd A. Kniehl (Hamburg U., Inst. Theor. Phys. II)🇩🇪 · B.F.L. Ward (Baylor U.)🇺🇸 · S.A. Yost (Citadel Military Coll.)
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.
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