Speaker
Description
In this talk, I will discuss a framework that resums soft (logarithms ln^k(N) in Mellin space) and next-to-soft (power-suppressed terms ln^k(N)/N in Mellin space) logarithms to all orders in perturbative QCD. We use the concepts of collinear factorisation and renormalisation group invariance to achieve this. The former allows one to define a soft-collinear (SC) function that encapsulates soft and collinear dynamics of the perturbative results to all orders in the strong coupling constant. The logarithmic structure of these results is governed by universal infrared anomalous dimensions and process-dependent functions of the Sudakov differential equation that the SC satisfies. The solution to the differential equation is obtained by proposing an all-order ansatz in dimensional regularization, owing to several state-of-the-art perturbative results available to third order. Using this framework we study the numerical impact of resumming the NSV logarithms in the context of Drell-Yan and Higgs boson production processes at the LHC to next-to-next-to leading logarithmic (NNLL) accuracy. The talk is based on the works : Eur.Phys.J.C 82 (2022) 3, 234, Eur.Phys.J.C 82 (2022) 9, 774 , Phys.Rev.D 106 (2022) 3, 034005, hep-ph/2205.11560.
