ε-Factorized Differential Equations for Feynman Integrals through Geometric Bookkeeping

by Sebastian Pögel (University of Zurich)

Monday 6 Oct 2025, 14:00 → 15:00 Europe/Zurich

4/S-030 (CERN)

Feynman integrals are essential for meeting the precision requirements of current and future experiments at the LHC and FCC. However, the evaluation of multi-loop, multi-scale Feynman integrals in dimensional regularization presents a formidable challenge. The method of differential equations has proven a powerful tool for this task, particularly when they are in ε-factorized form. In this talk, I will present an algorithmic framework, inspired by Hodge theory, that systematically derives such ε-factorized differential equations. I will illustrate the method with the three-loop unequal-mass banana integral, highlighting its effectiveness in tackling multi-scale integrals with a non-trivial geometry.