Numerical evaluation of harmonic polylogarithms

DOI10.1016/S0010-4655(01)00411-8zbMATH Open0991.65022arXivhep-ph/0107173OpenAlexW3104010051MaRDI QIDQ5956398

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Publication date: 4 September 2002

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Abstract: Harmonic polylogarithms $H(veca;x)$, 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 { t FORTRAN} subroutine { t hplog} to compute harmonic polylogarithms up to weight 4.

Full work available at URL: https://arxiv.org/abs/hep-ph/0107173

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