Mathematical Structures in Feynman Integrals

Session

Session II

Feb 13, 2023, 4:30 PM

Emmy Noether Campus

4. Epsilon-factorised differential equations for non-trivial geometries

Stefan Weinzierl

2/13/23, 4:30 PM

The method of differential equations is a popular method to compute Feynman integrals. It is particular powerful if the differential equation can be cast into an epsilon-factorised form. In this talk I will discuss how this can be achieved for Feynman integrals which are related to non-trivial geometries like Calabi-Yau manifolds.

5. Constraining the Analytic Properties of Feynman Integrals

Andrew McLeod

2/13/23, 5:30 PM

The analytic properties of Feynman integrals are heavily constrained by basic physical principles such as causality and locality; however, the specific implications of these principles remain only partially known. In this talk, I will describe two methods for deriving concrete constraints on the analytic structure of Feynman integrals. The first of these methods leverages information about the...