4.7 Article

On the generalized harmonic polylogarithms of one complex variable

Journal

COMPUTER PHYSICS COMMUNICATIONS
Volume 182, Issue 6, Pages 1253-1264

Publisher

ELSEVIER
DOI: 10.1016/j.cpc.2011.02.011

Keywords

Harmonic polylogarithms; Feynman diagrams; Multi-loop calculations; Higgs physics

Funding

  1. Theory-LHC-France initiative of CNRS/IN2P3
  2. European Community's Marie-Curie Research Training Network [MRTN-CT-2006-035505]

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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.

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