Counting master integrals with parametric annihilators

by Erik Panzer (University of Oxford)

Thursday 7 Dec 2017, 14:15 → 15:15 Europe/Berlin

SR2 (DESY Hamburg)

We study shift relations between Feynman integrals via the Mellin transform through parametric annihilation operators. These contain the well-known momentum space IBP relations. Applying a result of Loeser and Sabbah, we conclude that the number of master integrals is computed by the Euler characteristic of the Lee-Pomeransky polynomial and we illustrate techniques to compute this number in various examples from the literature. This is joint work with T. Bitoun, C. Bogner and R. P. Klausen.