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. (C) 2011 Elsevier B.V. All rights reserved.
Bonciani, R., Degrassi, G., Vicini, A. (2011). On the generalized harmonic polylogarithms of one complex variable. COMPUTER PHYSICS COMMUNICATIONS, 182(6), 1253-1264 [10.1016/j.cpc.2011.02.011].
On the generalized harmonic polylogarithms of one complex variable
DEGRASSI, GIUSEPPE;
2011-01-01
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. (C) 2011 Elsevier B.V. All rights reserved.File in questo prodotto:
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