QM Research Seminar: Canonical differential equations beyond polylogarithms

Speaker: Sara Maggio (​University of Bonn).

Abstract: 
Feynman integrals associated with geometries beyond the Riemann sphere, such as elliptic and Calabi–Yau geometries, are playing an increasingly important role in modern precision calculations. They appear not only in collider cross sections, but also in gravitational-wave scattering. A powerful way to compute these integrals is through systems of differential equations, particularly when these can be brought into canonical form, making their singularity structure manifest. In this talk, I will present a method to construct canonical differential equations for multi-loop Feynman integrals beyond the polylogarithmic setting, with particular emphasis on Calabi–Yau examples. After introducing the method through the two-loop sunrise integral, I will show how it applies to the cutting-edge case of the three-loop multi-parameter banana integrals.