Beyond a single elliptic curve

Abstract

In this talk we discuss the interplay of two elliptic curves, which occur in different sub-sectors of Feynman integrals. We analyse a particular Feynman integral depending on two elliptic curves and derive an associated differential equation in $\epsilon$-form. We discuss the mixed entries of the differential equation, which depend on both elliptic curves.

Comments: 8 pages, talk given at Loops and Legs 2022