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

TL;DR

This paper extracts unpolarised TMD parton distribution functions from Drell-Yan data across various experiments, employing advanced resummation techniques up to N$^3$LL order and accounting for non-perturbative effects, achieving excellent data agreement.

Contribution

It provides a novel extraction of TMD PDFs using high-order resummation and comprehensive experimental data, improving precision and understanding of transverse momentum distributions.

Findings

Achieved remarkable agreement with experimental data.

Included resummation up to N$^3$LL order.

Accounted for non-perturbative contributions.

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.