Feynman integrals and multiple polylogarithms
Stefan Weinzierl
Johannes Gutenberg-Universität, Mainz, Germany
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Abstract
In this article 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.