arXiv:1007.1891·v1·High Energy Physics — Phenomenology
On the Generalized Harmonic Polylogarithms of One Complex Variable
R. Bonciani🇫🇷 · G. Degrassi🇮🇹 · A. Vicini🇮🇹
Abstract
We describe how to compute numerically in the complex plain a set of Generalized Harmonic Polylogarithms (GHPLs) with square roots in the weights, using the C++/GiNaC numerical routines of Vollinga and Weinzierl. As an example, we provide the numerical values of the NLO electroweak light-fermion corrections to the Higgs boson production in gluon fusion in the case of complex W and Z masses.
Comments: 25 pages, 1 figure