07.12.2017 / 14:15 - 15:15 / Hamburg, seminar room 2, bldg. 2a

String Theory Seminar

Counting master integrals with parametric annihilators

Erik Panzer (University of Oxford)

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.

More Information: https://indico.desy.de/indico/event/18671/