中文

Numerical Evaluation of Harmonic Polylogarithms

高能物理 - 唯象学 2010-04-06 v2

摘要

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.

关键词

引用

@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}
}

备注

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