Feynman Integral Reduction via Landau-decomposed Syzygy Modules

par Pavel Novichkov (Gent University)

mercredi 26 nov. 2025, 14:45 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Séminaire Amplitudes et Gravitation sur l'Yvette (IHES/IPhT)

Perturbative field theory calculations are essential for precision predictions in collider and gravitational-wave physics. One of the major bottlenecks in such calculations is integration-by-parts (IBP) reduction of the underlying Feynman integrals. In this talk, I will argue that IBP reduction can be simplified by exploiting the infrared singularity structure encoded in the Landau equations. More precisely, I will show that the IBP syzygy module decomposes as a sum over the Fitting ideals associated with the individual components of the Landau locus. This decomposition provides an efficient method for constructing syzygies and suggests universality of solutions among integral topologies sharing the same infrared structure.

 

Pour être informé des prochains séminaires vous pouvez vous abonner à la liste de diffusion en écrivant un mail à sympa@listes.math.cnrs.fr avec comme sujet: "subscribe seminaire_physique PRENOM NOM"
(indiquez vos propres prénom et nom) et laissez le corps du message vide.