Numerical evaluation of multiple polylogarithms

Details Numerical evaluation of multiple polylogarithms Numerical evaluation of multiple polylogarithms

2004-10-19

arxiv.org/abs/hep-ph/0410259v1

Comput.Phys.Commun. 167 (2005) 177

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages

Scientific paper

10.1016/j.cpc.2004.12.009

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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