Numerical evaluation of two-dimensional harmonic polylogarithms

2019-12-06T07:32:19Z (GMT) by T. Gehrmann E. Remiddi
Abstract The two-dimensional harmonic polylogarithms G( a → (z);y), 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 y,z varying in th... Title of program: tdhpl version 1.0, release 1 Catalogue Id: ADPU_v1_0 Nature of problem Numerical evaluation of the two-dimensional harmonic polylogarithms up to weight 4 for real arguments restricted to 0 <= y <= 1, 0 <= z <= (1-y). These functions are emerging in Feynman graph integrals involving three mass scales. Versions of this program held in the CPC repository in Mendeley Data ADPU_v1_0; tdhpl version 1.0, release 1; 10.1016/S0010-4655(02)00139-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)