English

On the Generalized Harmonic Polylogarithms of One Complex Variable

High Energy Physics - Phenomenology 2011-04-05 v1

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.

Cite

@article{arxiv.1007.1891,
  title  = {On the Generalized Harmonic Polylogarithms of One Complex Variable},
  author = {R. Bonciani and G. Degrassi and A. Vicini},
  journal= {arXiv preprint arXiv:1007.1891},
  year   = {2011}
}

Comments

25 pages, 1 figure

R2 v1 2026-06-21T15:47:04.194Z