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

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

Erik Panzer
(
- Humboldt U., Berlin
)

Mar 13, 2014

19 pages

Published in:

Comput.Phys.Commun. 188 (2015) 148-166

Published: Mar, 2015

e-Print:

1403.3385 [hep-th]

DOI:

10.1016/j.cpc.2014.10.019

View in:

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Abstract: (Elsevier)

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.

Note:

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/

Feynman integrals
Hyperlogarithms
Polylogarithms
Computer algebra
Symbolic integration
ε -expansions
[formula omitted]-expansions
Feynman graph

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