Calculation of Massless Feynman Integrals using Harmonic Sums

Details Calculation of Massless Feynman Integrals using Harmonic Sums Calculation of Massless Feynman Integrals using Harmonic Sums

2005-05-19

arxiv.org/abs/hep-ph/0505174v2

Comput.Phys.Commun. 175 (2006) 180-195

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 6 figures; Minor typos corrected, references added. Published in Computer Physics Communications

Scientific paper

10.1016/j.cpc.2006.02.004

A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the evaluation of nested and harmonic sums are used to reduce the expressions to get analytical or numerical results for the expansion coefficients. Methods to increase the precision of numerical results are discussed.

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