Drell-Yan lepton-pair production: $q_T$ resummation at N$^3$LL accuracy and fiducial cross sections at N$^3$LO

Stefano Camarda; Leandro Cieri; Giancarlo Ferrera

Paper

Drell-Yan lepton-pair production: $q_T$ resummation at N$^3$LL accuracy and fiducial cross sections at N$^3$LO

Abstract

We present high-accuracy QCD predictions for the transverse-momentum (

) distribution and fiducial cross sections of Drell-Yan lepton pairs produced in hadronic collisions. At small value of

we resum to all perturbative orders the logarithmically enhanced contributions up to next-to-next-to-next-to-leading logarithmic (N

LL) accuracy, including all the next-to-next-to-next-to-leading order (N

LO) (i.e.

) terms. Our resummed calculation has been implemented in the public numerical program DYTurbo, which produces fast and precise predictions with the full dependence on the final-state leptons kinematics. We consistently combine our resummed results with the known

fixed-order predictions at large values of

thus obtaining full N

LO accuracy also for fiducial cross sections. We show numerical results at LHC energies discussing the reduction of the perturbative uncertainty with respect to lower-order calculations.