6533b82cfe1ef96bd128f6a2

RESEARCH PRODUCT

Numerical evaluation of multiple polylogarithms

Jens VollingaStefan Weinzierl

subject

AlgebraHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Hardware and ArchitectureNumerical analysisArbitrary-precision arithmeticFOS: Physical sciencesGeneral Physics and AstronomyOrder (ring theory)Computer Science::Symbolic ComputationQuantum field theoryMathematics

description

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.

yearjournalcountryeditionlanguage
2004-10-19
10.1016/j.cpc.2004.12.009http://arxiv.org/abs/hep-ph/0410259