Abstract

We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of ∼10−15 or better. Using algebraic and argument relations the numerical representation can be limited to the range x∈[0,2−1]. We provide replacement files to map all harmonic polylogarithms to a basis and the usual range of arguments x∈]−∞,+∞[ to the above interval analytically. We also briefly comment on a numerical implementation of real valued cyclotomic harmonic polylogarithms. Program SummaryProgram title:HPOLY.fProgram Files doihttp://dx.doi.org/10.17632/vnc3fc79cr.1Licensing provisions: CC by NC 3.0Programming Language: FortranNature of problem: Harmonic polylogarithms form key building blocks in the analytic calculation of many multi-loop and multi-leg calculations in high energy physics and other disciplines of modern physics. Their numerical representation is provided.Solution method: Bernoulli-improvement of series expansions, Ref. [1].Additional comments: Program obtainable from https://www-zeuthen.desy.de/ blumlein/

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