Theoretical physics / Elméleti fizika

NNLOCAL: Episode III - Revenge of the integrals

by Sam Van Thurenhout (HUN-REN Wigner RCP)

Europe/Budapest
Tanácsterem (III. ép.)

Tanácsterem

III. ép.

Description

About eight months ago in a seminar room not that far away...


G. Somogyi has discussed the extension of the CoLoRFulNNLO scheme to hadronic scattering processes. This scheme allows for a proper treatment of kinematic divergences that plague perturbative calculations. It achieves this by setting up approximate cross sections that capture the infrared behavior of the partonic ones. Their construction is based on the standard infrared factorization theorems of quantum chromodynamics and, upon subtraction, one is left with inherently finite quantities. The subtractions then need to be integrated over the phase space of the unresolved emissions and added back. For a subset of the approximate cross sections, this integration is performed using integration-by-parts identities and differential equations, as was explained during P. Mukherjee’s seminar last February. In this talk, we describe how the remaining subtractions are integrated. We provide a general overview of the necessary steps and highlight the plethora of modern methods required to obtain the final result.