On the generalized harmonic polylogarithms of one complex variable Original Research Article

We describe how to compute numerically in the complex plane 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.