Canonical Differential Equations for Calabi-Yau Geometries and Beyond

by Christoph Nega (TUM)

Monday 2 Jun 2025, 14:00 → 15:00 Europe/Zurich

4/S-030 (CERN)

Perturbative quantum field theory computations rely on Feynman integrals, which are nowadays often evaluated using differential equations. A common technique for solving these differential equations is transforming them into a canonical form. For many years, techniques to find canonical bases for polylogarithms have been established. In my talk, I will explain how to generalize these canonical bases beyond the polylogarithmic case, with a particular focus on examples including Calabi-Yau manifolds. To illustrate our method for deriving canonical bases, I will discuss two very different examples: Self-energies in quantum electrodynamics and the scattering of two black holes in classical general relativity.

CERN_QCDSeminar.pdf