Seminar by Erik Panzer – University of Copenhagen

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Seminar by Erik Panzer

Speaker: Erik Panzer

Title: Counting master integrals with parametric annihilators

Abstract: 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 of T. Bitoun, C. Bogner, R. P. Klausen and E. Panzer.