What are… Feynman integrals?

Vortrag von Mattia Pozzoli

Datum: 11.11.25  Zeit: 16.30 - 18.30  Raum:

Feynman integrals are ubiquitous in quantum field theory computations. I will review some of their properties and discuss modern methods for computing them, based on differential equations. The structure of these differential equations is linked to the underlying geometry of the integral. While Feynman integrals associated with the Riemann sphere are generally well understood, more complicated geometries appear in cutting-edge calculations. Despite significant progress in recent years, these functions defy available methods and remain the object of active study.

Finally, I will present an example of a cutting-edge calculation, of relevance for the analysis of experimental data from CERN's Large Hadron Collider, showing the interplay between analytic and algebraic complexity that challenges the available methods.