Joint INFN-UNIMI-UNIMIB Pheno Seminars

IBPs without IBPs - Intersection theory and the vector space of Feynman integrals

by Hjalte Frellesvig (University of Padova)

Europe/Zurich
Aula Caldirola (Dipartimento di Fisica, Università degli Studi di Milano)

Aula Caldirola

Dipartimento di Fisica, Università degli Studi di Milano

Via Giovanni Celoria, 16, 20133 Milano MI, Italia
Description

The derivation of linear relations between Feynman integrals is a computationally extremely heavy task when done with the traditional method based on integration-by-parts identities. Using insights from the mathematical field of intersection theory, I will describe a method to derive such linear relations directly from projections in the "vector space of Feynman integrals", and I will show a number of examples.