Sep 9 – 13, 2019
Europe/Zurich timezone

## Syzygies for no-numerator or no-dot relations between Feynman integrals

Sep 10, 2019, 9:00 AM
25m
Chambre du Trésorier

### Speaker

Andreas von Manteuffel (Michigan State University)

### Description

In this talk I will discuss new algorithmic approaches to reduce Feynman integrals. Syzygies derived in the Lee-Pomeransky and the Baikov representation allow to find linear relations, which avoid the introduction of either irreducible numerators or higher powers of propagators, respectively. The relevant syzygies can be calculated with linear algebra methods based on finite fields. These techniques have been applied to calculate quark and gluon form factors in four-loop QCD as well as multi-scale two-loop amplitudes.

### Primary authors

Bakul Agarwal (Michigan State University) Andreas von Manteuffel (Michigan State University)