Sep 9 – 13, 2019
Europe/Zurich timezone

Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers

Sep 11, 2019, 9:00 AM
25m
Chambre du Trésorier

Chambre du Trésorier

Speaker

Manoj Kumar Mandal

Description

The reduction of a large number of scalar multi-loop integrals to the smaller set of Master Integrals is an integral part of the computation of any multi-loop amplitudes. The reduction is usually achieved by employing the traditional Integral-By-Parts (IBP) relations. However, in case of integrals with large number of scales, this quickly becomes a bottleneck. In this talk, I will show the application of the recent idea, connecting the direct decomposition of Feynman integrals with the Intersection theory. Specifically, we will consider few maximally cut Feynman integrals relevant for di-photon production on maximal cut and show their direct decomposition to Master Integrals.

Primary authors

Mr Federico Gasparotto (University of Padova) Hjalte Frellesvig (NCSR Demokritos) Mr Luca Mattiazzi (University of Padova) Manoj Kumar Mandal Prof. Pierpaolo Mastrolia (University of Padova) Dr Sebastian Mizera (Perimeter institute) Dr Stefano Laporta (University of Padova)

Presentation materials