Speaker
Pavel Novichkov
(Ghent University)
Description
One of the bottlenecks in multiloop amplitude calculations is integration-by-parts (IBP) reduction of the underlying Feynman integrals. In this talk, I will present a recent approach that organizes IBP reduction according to the infrared singularity structure encoded in the Landau equations. More precisely, I will show how syzygy solutions describing unitarity-compatible IBP relations are linked to Landau singularities, and how this connection allows us to construct universal, compact syzygies. I will illustrate the method with explicit examples at one and two loops.
Authors
Ben Page
(Ghent University)
Federico Coro
(Ghent University)
Pavel Novichkov
(Ghent University)
Qian Song
(Ghent University)