|
Statut |
Confirmé |
|
Série |
PT-IHES |
|
Domaines |
hep-th |
|
Date |
Mercredi 26 Novembre 2025 |
|
Heure |
14:45 |
|
Institut |
IHES |
|
Salle |
Amphithéâtre Léon Motchane |
|
Nom de l'orateur |
Novichkov |
|
Prenom de l'orateur |
Pavel |
|
Addresse email de l'orateur |
|
|
Institution de l'orateur |
Gent University |
|
Titre |
Feynman Integral Reduction via Landau-decomposed Syzygy Modules |
|
Résumé |
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. |
|
Numéro de preprint arXiv |
|
|
Commentaires |
Séminaire Amplitudes et Gravitation sur l’Yvette (IHES/IPhT) |
|
Fichiers attachés |
|
