On the Generalized Harmonic Polylogarithms of One Complex Variable

R. Bonciani (1) , G. Degrassi , A. Vicini

1 LPSC - Laboratoire de Physique Subatomique et de Cosmologie

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.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

R. Bonciani, G. Degrassi, A. Vicini. On the Generalized Harmonic Polylogarithms of One Complex Variable. Computer Physics Communications, 2011, 182, pp.1253-1264. ⟨10.1016/j.cpc.2011.02.011⟩. ⟨in2p3-00502463⟩