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Extension of HPL to complex arguments
Authors:Daniel Maître
Affiliation:1. Physics Department, Building 510A, Brookhaven National Laboratory, Upton, NY 11973, USA;2. Department of Materials and Life Science, Seikei University, 3-3-1 Kichijoji Kitamachi, Musashino-shi, Tokyo 180-8633, Japan;3. Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Laboratoire Univers et Particules, CNRS-IN2P3, Case 070, Place Eugène Bataillon, 34095 - Montpellier Cedex 05, France;1. International Centre for Materials Science, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560064, India;2. Chemistry and Physics of Materials Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560064, India;1. Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany;2. Deutsches Elektronen Synchrotron (DESY), 15738 Zeuthen, Germany
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 summaryProgram title: HPLCatalogue identifier: ADWX_v2_0Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADWX_v2_0.htmlProgram obtainable from: CPC Program Library, Queen?s University, Belfast, N. IrelandLicensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.htmlNo. of lines in distributed program, including test data, etc.: 13 610No. of bytes in distributed program, including test data, etc.: 1 055 706Distribution format: tar.gzProgramming 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_0Journal reference of previous version: Comput. Phys. Comm. 174 (2006) 222Does the new version supersede the previous version?: YesNature 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.
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