Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production

Abstract

The factorization theorems for transverse momentum distributions of dilepton/boson production, recently formulated by Collins and Echevarria-Idilbi-Scimemi in terms of well-defined transverse momentum dependent distributions (TMDs), allows for a systematic and quantitative analysis of non-perturbative QCD effects of the cross sections involving these quantities. In this paper we perform a global fit using all current available data for Drell-Yan and $Z$-boson production at hadron colliders within this framework. The perturbative calculable pieces of our estimates are included using a complete resummation at next-to-next-to-leading-logarithmic accuracy. Performing the matching of transverse momentum distributions onto the standard collinear parton distribution functions and recalling that the corresponding matching coefficient can be partially exponentiated, we find that this exponentiated part is spin-independent and resummable. We argue that the inclusion of higher order perturbative pieces is necessary when data from lower energy scales are analyzed. We consider non-perturbative corrections both to the intrinsic nucleon structure and to the evolution kernel and find that the non-perturbative part of the TMDs could be parametrized in terms of a minimal set of parameters (namely 2-3). When all corrections are included the global fit so performed gives a ${\chi }^2/d.o.f.\lesssim 1$ and a very precise prediction for vector boson production at the Large Hadron Collider (LHC).

24 pages, 11 figures. v2: new subsection added, discussion on the stability of the calculations and on higher order contributions improved, results unchanged

References in corpus (7)

• Parton distributions for the LHC
• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• Quark and gluon form factors to three loops
• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• Measurement of the shape of the boson transverse momentum distribution in ppbar -> Z/gamma* -> ee+X events produced at sqrt{s}=1.96 TeV

Cited by in corpus (26)

• Large-Momentum Effective Theory
• Parton distributions and lattice QCD calculations: toward 3D structure
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• Resummation of Transverse Momentum Distributions in Distribution Space
• Transverse momentum dependent PDFs at N${}^3$LO
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Non-perturbative contributions to vector-boson transverse momentum spectra in hadronic collisions
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• Where do we stand with a 3-D picture of the proton?
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Nonperturbative Collins-Soper Kernel from Chiral Quarks with Physical Masses
• Joint thrust and TMD resummation in electron-positron and electron-proton collisions
• Prospects for quarkonium studies at the high-luminosity LHC
• W-boson production in TMD factorization
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Statistical Behavior of Lepton Pair Spectrum in Drell-Yan Process and Signal from Quark-Gluon Plasma in High Energy Collisions
• Collins-Soper kernel from lattice QCD at the physical pion mass
• Lattice QCD Benchmark of Proton Helicity and Flavor-Dependent Unpolarized Transverse Momentum-Dependent Parton Distribution Functions at Physical Quark Masses
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions