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 the triangle 0⩽ y⩽1, 0⩽ z⩽1, 0⩽( y+ z)⩽1. This algorithm is implemented into a FORTRAN subroutine tdhpl to compute two-dimensional harmonic polylogarithms up to weight 4.
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