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. © 2011 Elsevier B.V.
On the generalized harmonic polylogarithms of one complex variable / BONCIANI, ROBERTO; G. Degrassi; A. Vicini. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - STAMPA. - 182:(2011), pp. 1253-1264. [10.1016/j.cpc.2011.02.011]
On the generalized harmonic polylogarithms of one complex variable
BONCIANI, ROBERTO;
2011
Abstract
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. © 2011 Elsevier B.V.
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