Hypergeometric functions, their epsilon expansions and Feynman diagrams

2008/10/20 by Kalmykov, M. Yu., Kniehl, Bernd A., Ward, B. F. L. +1 · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0810.3238

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.

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• Multipoint conformal integrals in D dimensions. Part II: Polygons and basis functions

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