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. - 182:6(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.
2011
feynman diagrams; harmonic polylogarithms; higgs physics; multi-loop calculations
01 Pubblicazione su rivista::01a Articolo in rivista
On the generalized harmonic polylogarithms of one complex variable / Bonciani, Roberto; G., Degrassi; A., Vicini. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - STAMPA. - 182:6(2011), pp. 1253-1264. [10.1016/j.cpc.2011.02.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/438150
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