HET seminar: Johannes Brödel

Speaker: Johannes Brödel

Title: Iterated integrals of modular forms: a canonical language for elliptic (Feynman) integrals

Abstract: While many Feynman integrals appearing in QCD can be evaluated using mulitple polylogarithms, there is a growing class of interesting integrals which do not fall into this class. After a short review, I will discuss the next interesting class: elliptic integrals. If evaluated, those yield elliptic multiple zeta values, a generalization of multiple zeta values. I will show that the canonical language - iterated integrals of modular forms - for investigating these elliptic integrals is provided from one-loop open string theory: here those integrals appear in the most pure setting.