Extension of HPL to complex arguments

Abstract

In this paper we describe the extension of the Mathematica package HPL to treat harmonic polylogarithms of complex arguments. The harmonic polylogarithms have been introduced by Remiddi and Vermaseren [E. Remiddi, J.A.M. Vermaseren, Int. J. Modern Phys. A 15 (2000) 725, hep-ph/9905237] and have many applications in high energy particle physics. New version program summary Program title: HPL Catalogue identifier: ADWX_v2_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADWX_v2_0.html Program obtainable from: CPC Program Library, Queenʼs University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 13 610 No. of bytes in distributed program, including test data, etc.: 1 055 706 Distribution format: tar.gz Programming language: Mathematica 7/8. Computer: All computers running Mathematica. Operating system: Operating systems running Mathematica. Supplementary material: Additional “high weight” MinimalSet files available. Classification: 4.7. Catalogue identifier of previous version: ADWX_v1_0 Journal reference of previous version: Comput. Phys. Comm. 174 (2006) 222 Does the new version supersede the previous version?: Yes Nature of problem: Computer algebraic treatment of the harmonic polylogarithms which appear in the evaluation of Feynman diagrams. Solution method: Mathematica implementation. Reasons for new version: Added treatment of complex arguments. Details in arXiv:hep-ph/0703052. Summary of revisions: Added treatment of complex arguments. Details in arXiv:hep-ph/0703052. Running time: A few seconds for each function.