Hodge structures, intersection theory and Feynman integrals

• Applicant: Professor Dr. Stefan Weinzierl
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 508889767

This project studies multi-loop Feynman integrals through the lens of the theories of mixed Hodge strucures and twisted de Rham cohomology groups. The aim is to develop novel and powerful computational techniques that can be used to derive and solve systems of differential equations satisfied by Feynman integrals that go beyond the current state-of-the-art. The techniques will be applied to a phenomenological relevant case: Two-loop electro-weak corrections to Møller scattering.

• DFG Programme: Research Units
• Subproject of: FOR 5582: Modern Foundations of Scattering Amplitudes
• Co-Investigators: Professor Dr. Claude Duhr; Professor Albrecht Klemm, Ph.D.