English

Numerical Evaluation of Harmonic Polylogarithms

High Energy Physics - Phenomenology 2010-04-06 v2

Abstract

Harmonic polylogarithms (˝a;x)\H(\vec{a};x), a generalization of Nielsen's polylogarithms Sn,p(x){S}_{n,p}(x), appear frequently in analytic calculations of radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of harmonic polylogarithms of arbitrary real argument. This algorithm is implemented into a {\tt FORTRAN} subroutine {\tt hplog} to compute harmonic polylogarithms up to weight 4.

Keywords

Cite

@article{arxiv.hep-ph/0107173,
  title  = {Numerical Evaluation of Harmonic Polylogarithms},
  author = {T. Gehrmann and E. Remiddi},
  journal= {arXiv preprint arXiv:hep-ph/0107173},
  year   = {2010}
}

Comments

16 pages, LaTeX, minor changes, to appear in Comp. Phys. Comm