Theory HEP Seminar

Twisted Riemann Bilinear Relations and Cuts of Feynman Integrals

Franziska Porkert

U. Bonn, Phys. Inst., BCTP

In recent years, the perspective of Feynman integrals as periods of (relative) twisted cohomologies has been extensively explored, leading to significant progress, particularly in reducing families of Feynman integrals to a basis of master integrals. The standard technique for analytically computing complex Feynman integrals today is the method of differential equations, with the canonical basis being especially important. Recently, we investigated what insights can be gained from certain bilinear relations in intersection theory—the twisted Riemann bilinear relations—for Feynman integrals and their cuts. Through this approach, we could explain a notion of self-duality for maximal cuts and gained a deeper understanding of the canonical differential equation.