Published March 29, 2016
| Version v1
Journal article
On the reduction of generalized polylogarithms to Lin and Li2,2 and on the evaluation thereof
- 1. Institute of Nuclear and Particle Physics, NCSR "Demokritos",Patriarchou Gregoriou E. & Neapoleos street 27, 15310 Agia Paraskevi (Greece)
- 2. Institute for Nuclear Physics (IKP), Karlsruhe Institute of Technology,Hermann-von-Helmholtz-Platz 1, D-76344 Eggenstein-Leopoldshafen (Germany)
- 3. Institute for Theoretical Particle Physics (TTP), Karlsruhe Institute of Technology,Engesserstraße 7, D-76128 Karlsruhe (Germany)
Description
We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, Lin, and Li2,2, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of Lin and Li2,2, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in appendix C.
Availability note (English)
Available from http://dx.doi.org/10.1007/JHEP03(2016)189; Available from http://repo.scoap3.org/record/15004Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of High Energy Physics (Online)
- Journal Volume
- 2016
- Journal Issue
- 03
- Journal Page Range
- p. 189
- ISSN
- 1029-8479
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 48050618
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGORITHMS; CALCULATION METHODS; FUNCTIONS; INTEGRALS
- Descriptors DEC
- MATHEMATICAL LOGIC
Optional Information
- Copyright
- Copyright (c) OPEN ACCESS, © The Authors
- Notes
- PUBLISHER-ID: JHEP03(2016)189; ARXIV:1601.02649; OAI: oai:repo.scoap3.org:15004
- Funding organization
- SCOAP3, CERN, Geneva (Switzerland)