Numerical evaluation of harmonic polylogarithms

Published: 30 November 2001| Version 1 | DOI: 10.17632/35hhxm63z3.1
T. Gehrmann, E. Remiddi


Abstract Harmonic polylogarithms H(a→;x), a generalization of Nielsen's polylogarithms 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 FORTRAN subroutine hplog to compute harmonic polylogarithms up to weight 4. Title of program: hplog version 1.0 Catalogue Id: ADPG_v1_0 Nature of problem Numerical evaluation of the harmonic polylogarithms up to weight 4 for arbitrary real argument. These functions are emerging in Feynman graph integrals involving more than one mass scale. Versions of this program held in the CPC repository in Mendeley Data ADPG_v1_0; hplog version 1.0; 10.1016/S0010-4655(01)00411-8 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computational Method