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.
On the generalized harmonic polylogarithms of one complex variable / R. Bonciani, G. Degrassi, A. Vicini. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - 182:6(2011 Apr), pp. 1253-1264. [10.1016/j.cpc.2011.02.011]
On the generalized harmonic polylogarithms of one complex variable
A. ViciniUltimo
2011
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.
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