Joint INFN-UNIMI-UNIMIB Pheno Seminars
Elliptic polylogarithms and Feynman integrals
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Europe/Zurich
Aula Polvani (Dipartimento di Fisica, Università degli Studi di Milano)
Aula Polvani
Dipartimento di Fisica, Università degli Studi di Milano
Via Giovanni Celoria, 16, 20133 Milano MI, Italia
Description
In this talk I discuss classes of function useful for representing Feynman integrals. The first, multiple polylogarithms (MPLs), constitute a well-understood class of functions which describe most of the Feynman integrals computed to date. Next I discuss a generalisation of MPLs to the elliptic curve suited for describing several integrals known not to be expressible in terms of MPLs. These functions generalise many of the interesting properties of MPLs, including the notion of uniform weight.