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Feynman integrals and multiple polylogarithms
[chapter]
Renormalization and Galois Theories
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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.
doi:10.4171/073-1/8
fatcat:54gsaydppnhrrnrdzmamv4dgti