Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Published: 01-01-2015| Version 1 | DOI: 10.17632/sg78wtjd6m.1
Contributor:
Erik Panzer

Description

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018) Abstract We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational functions, which also include multiple polylogarithms when their arguments are rational functions. These algorithms are implemented in Maple and we discuss in particular their application to the computation of Feynman integrals. Title of program: HyperInt Catalogue Id: AEUV_v1_0 Nature of problem Feynman integrals and their ε-expansions in dimensional regularization can be expressed in the Schwinger parametrization as multi-dimensional integrals of rational functions and logarithms. Symbolic integration of such functions therefore serves a tool for the exact and direct evaluation of Feynman graphs. Versions of this program held in the CPC repository in Mendeley Data AEUV_v1_0; HyperInt; 10.1016/j.cpc.2014.10.019

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