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On the Generalized Harmonic Polylogarithms of One Complex Variable

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00502463
Contributor : Emmanuelle Vernay <>
Submitted on : Thursday, July 15, 2010 - 8:41:44 AM
Last modification on : Thursday, November 19, 2020 - 12:58:39 PM

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

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