Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data

Abstract

We present an extraction of unpolarised Transverse-Momentum-Dependent Parton Distribution Functions based on Drell-Yan production data from different experiments, including those at the LHC, and spanning a wide kinematic range. We deal with experimental uncertainties by properly taking into account correlations. We include resummation of logarithms of the transverse momentum of the vector boson up to N${}^3$LL order, and we include non-perturbative contributions. These ingredients allow us to obtain a remarkable agreement with the data.

Comments: Latest version: added panels in Fig. 4, added chi2 values in Fig. 8, changes in App. C, extended discussion on comparison with ATLAS data (Sec. 4.1), footnote 5 added, other small changes in the text