Numerical evaluation of multiple polylogarithms

DOI10.1016/J.CPC.2004.12.009zbMATH Open1196.65045arXivhep-ph/0410259OpenAlexW2052137086MaRDI QIDQ709705

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Publication date: 18 October 2010

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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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0410259

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