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/
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.