Numerical evaluation of multiple polylogarithms

2004/10/19 by Jens Vollinga, Stefan Weinzierl · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1016/j.cpc.2004.12.009

published as Comput.Phys.Commun. 167 (2005) 177 · 23 pages

arxiv created 2004/10/19 · arxiv updated 2009/12/01

Abstract

Multiple polylogarithms appear in analytic calculations of higher order corrections in quantum field theory. In this article we study the numerical evaluation of multiple polylogarithms. We provide algorithms, which allow the evaluation for arbitrary complex arguments and without any restriction on the weight. We have implemented these algorithms with arbitrary precision arithmetic in C++ within the GiNaC framework.

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