Massive Feynman diagrams and inverse binomial sums

Preprint

18 March 2003

preprint
Published by arXiv in arXiv

Abstract

When calculating higher terms of the epsilon-expansion of massive Feynman diagrams, one needs to evaluate particular cases of multiple inverse binomial sums. These sums are related to the derivatives of certain hypergeometric functions with respect to their parameters. We explore this connection and analytically calculate a number of such infinite sums, for an arbitrary value of the argument which corresponds to an arbitrary value of the off-shell external momentum. In such a way, we find a number of new results for physically important two-loop two- and three-point Feynman diagrams. The results are presented in terms of generalized polylogarithmic functions.

Keywords

MASSIVE FEYNMAN DIAGRAMS
INVERSE BINOMIAL SUMS
CALCULATING HIGHER
ARBITRARY VALUE

All Related Versions

Version 1, 2003-03-18, ArXiv
Version 2, 2003-11-11, ArXiv
Version 3, 2004-04-22, ArXiv
Version 4, 2004-10-12, ArXiv
Published version: Nuclear Physics B, 699 (1-2), 3.

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