Hall 123

Collinear contributions to QCD resummations for the LHC observables

Prasanna K. Dhani

INFN, Genoa

Infrared singular factors originating from the factorisation of QCD scattering matrix elements in soft and collinear limits play a prominent role in both organising and computing higher order contributions to various jet cross sections. In this talk, I will elaborate on the application of collinear factorisation formulae in predicting logarithmically-enhanced contributions to the observable of interest, and hence improving its theoretical accuracy through the resummation formalism. For the transverse-momentum dependent observables, we show how collinear functions can be defined without introducing what is known as rapidity divergences in the literature. We present analytic expressions for the collinear functions up to next-to-next-to-leading order in perturbation theory.