English

Numerical evaluation of multiple polylogarithms

High Energy Physics - Phenomenology 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.hep-ph/0410259,
  title  = {Numerical evaluation of multiple polylogarithms},
  author = {Jens Vollinga and Stefan Weinzierl},
  journal= {arXiv preprint arXiv:hep-ph/0410259},
  year   = {2009}
}

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23 pages