Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
High Energy Physics - Theory
2015-01-06 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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 various applications. In particular, many Feynman integrals can be computed by this method.
Cite
@article{arxiv.1403.3385,
title = {Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals},
author = {Erik Panzer},
journal= {arXiv preprint arXiv:1403.3385},
year = {2015}
}
Comments
The described Maple program is supplied in the ancillary files to this submission and can also be obtained from http://www.math.hu-berlin.de/~panzer/