Papers › Numerical evaluation of multiple polylogarithms

Numerical evaluation of multiple polylogarithms

19 Oct 2004arXiv:hep-ph/0410259links table onlyarchive 2025-07-28

Jens Vollinga, Stefan Weinzierl

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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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