17–28 Mar 2025
MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz
Europe/Berlin timezone

Ansatzing ε-factorized differential equations for Feynman Integrals

27 Mar 2025, 14:00
1h
2413/2-430 - MITP Seminar Room (MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz)

2413/2-430 - MITP Seminar Room

MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz

Staudingerweg 9 / 2nd floor, 55128 Mainz
40

Speaker

Sebastian Pögel

Description

In this talk, I will discuss an approach to derive epsilon-factorized differential equations for Feynman integrals. This approach is based on minimal information, namely the choice of a seed integral and an appropriate Ansatz for the differential equation. Previously developed for simple Calabi-Yau integrals, I will show how to deal with complications arising in integrals in physical applications, particularly the appearance of apparent singularities in the Picard-Fuchs operator of the seed integral. I will demonstrate this approach on the example of a four-loop Calabi-Yau integral appearing in the scattering of black holes.

Presentation materials