T a l k : 03. November 2022
Epsilon Factorized Differential Equations for Elliptic Feynman Integrals
In this talk I will discuss some recent and upcoming work on epsilon factorized differential equations for Feynman integrals, which are beyond polylogarithmic and have an elliptic highest sector. I will introduce a systematic method to find such epsilon factorized bases, that works by requiring the period matrix of the integrands to be diagonal, and illustrate it with examples for specific Feynman Integrals. Finally I will discuss the pros and cons of such an approach, and how it relates to elliptic generalizations of pure function.