Paper
Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
Authors
T. Gehrmann, E. Remiddi
Abstract
The two-dimensional harmonic polylogarithms , a generalization of the harmonic polylogarithms, themselves a generalization of Nielsen's polylogarithms, appear in analytic calculations of multi-loop radiative corrections in quantum field theory. We present an algorithm for the numerical evaluation of two-dimensional harmonic polylogarithms, with the two arguments varying in the triangle , , . This algorithm is implemented into a {\tt FORTRAN} subroutine {\tt tdhpl} to compute two-dimensional harmonic polylogarithms up to weight 4.