Oct 2018 - Sep 2019

Feynman Integrals and higher genus surfaces

by Mr Lorenzo Tancredi


In this seminar I will review some new developments in the theory of scattering amplitudes which allow us to simplify the calculation of complicated multiloop Feynman integrals, relevant for high precision phenomenology at particle colliders, by using geometrical insights. I will describe at an introductory level some properties of Feynman integrals and how their analytic calculation can be performed in terms of special functions defined as iterated integrals of rational functions on complex algebraic surfaces. I will also show how the
geometry of these underlying structures is determined by the physics of the problem under study.