Speaker
Lorenzo Magnea
(University of Torino)
Description
Following up on some distant and little-known papers by Tullio Regge and collaborators, I will present an approach to integration-by-parts identities and differential equations for Feynman integrals, based on the Feynman parameter representation, and relying upon the projective nature of parameter integrands. A very general identity connecting projective forms allows to move across families of Feynman integrals, unifying IBP identities and dimensional shifts, and feeding into systems of differential equations, similar but not identical to the conventional ones. I will illustrate the results with simple examples at one and two loops.
