HEP Theory Journal Club

Loop-by-loop Differential Equations for Dual Elliptic Feynman Integrals

Mathieu Giroux

McGill

Multi-loop Feynman integrals are the cornerstone of modern perturbative approaches to quantum field theory and a pillar of precision computations for colliders as well as gravitational wave experiments. It is therefore essential to develop efficient method to evaluate them. A big bottleneck in that direction is the necessity to deal with integrals depending on many scales. In this talk, I will present a new method designed to handle such problem, namely a loop-by-loop approach to the computation of differential equation for (dual) Feynman integrals. As a proof of concept example, I will discuss how one can obtain a 'ready to integrate' differential equation for the unequal mass elliptic sunrise integral near 4-dimension.