Feynman integrals and multiple polylogarithms [chapter]

Stefan Weinzierl
Renormalization and Galois Theories  
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