Journal of High Energy Physics· 2019Q2
PolyLogTools — polylogs for the masses
- 262citations
- Q2SCImago
- 2019year
Short summary
A new Mathematica package, PolyLogTools, is introduced to implement algorithms for computing and analyzing multiple polylogarithms, essential for Feynman integral calculations.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces the Mathematica package PolyLogTools.
- Implements algorithms for multiple polylogarithms and their Hopf algebra structure.
- Provides tools for computing iterated parametric integrals relevant to Feynman integrals.
- Facilitates the study of coproduct structures of polylogarithmic expressions.
AI-generated from the title and abstract; the full text is not read.
Abstract
A bstract We review the Hopf algebra of the multiple polylogarithms and the symbol map, as well as the construction of single valued multiple polylogarithms and discuss an algorithm for finding fibration bases. We document how these algorithms are implemented in the M athematica package P oly L og T ools and show how it can be used to study the coproduct structure of polylogarithmic expressions and how to compute iterated parametric integrals over polylogarithmic expressions that show up in Feynman integal computations at low loop orders.
The authors' abstract, as published at the source. Journal of High Energy Physics, 2019 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics