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arxiv: 1007.1891 · v1 · pith:77LZML6Onew · submitted 2010-07-12 · ✦ hep-ph

On the Generalized Harmonic Polylogarithms of One Complex Variable

classification ✦ hep-ph
keywords complexgeneralizedharmonicnumericalpolylogarithmsbosoncasecompute
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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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