Feynman integrals and multiple polylogarithms

Details Feynman integrals and multiple polylogarithms Feynman integrals and multiple polylogarithms

2007-05-07

arxiv.org/abs/0705.0900v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, talk given at the workshop "Renormalization and Galois theories", Marseille, March 2006; v2: references added

Scientific paper

In this talk I review the connections between Feynman integrals and multiple
polylogarithms. After an introductory section on loop integrals I discuss the
Mellin-Barnes transformation and shuffle algebras. In a subsequent section
multiple polylogarithms are introduced. Finally, I discuss how certain Feynman
integrals evaluate to multiple polylogarithms.

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