String Theory Seminar

Counting master integrals with parametric annihilators

by Erik Panzer (University of Oxford)

Thursday, December 7, 2017 from to (Europe/Berlin)
at DESY Hamburg ( SR2 )
Description
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.