From motives to differential equations for loop integrals

Published 17 Sep 2012 in hep-ph and hep-th | (1209.3714v1)

Abstract: In this talk we discuss how ideas from the theory of mixed Hodge structures can be used to find differential equations for Feynman integrals. In particular we discuss the two-loop sunrise graph in two dimensions and show that these methods lead to a differential equation which is simpler than the ones obtained from integration-by-parts.

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