Numerical evaluation of harmonic polylogarithms Original Research Article

Harmonic polylogarithms H(a→;x), a generalization of Nielsenʹs polylogarithms Sn,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.