Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions

Abstract

We evaluate the pion and kaon transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM), a model of the QCD vacuum at low resolution. The relevant TMDs are factored into a constituent quark distribution times a rapidity dependent soft factor from staple-shaped Wilson lines, for fixed parton longitudinal momentum and transverse separation. The results are evolved to higher rapidities using the Collins-Soper (CS) kernel and higher resolution using renormalization group evolution. The comparison to existing extractions of pion TMDs from Drell-Yan (DY) data is briefly discussed.

arXiv comment23 pages, 13 figures, typo fixed and plots corrected

References in corpus (59)

• Instantons in QCD
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• The Spin Structure of the Nucleon
• Tevatron Run-1 Z Boson Data and Collins-Soper-Sterman Resummation Formalism
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• Transverse-momentum distributions in a diquark spectator model
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Single Spin Asymmetries in Charged Pion Production from Semi-Inclusive Deep Inelastic Scattering on a Transversely Polarized ${}^3$He Target
• Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
• Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
• Chiral symmetry and the Yang--Mills gradient flow
• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Universality of the Collins-Soper-Sterman nonperturbative function in gauge boson production
• Analysis of vector boson production within TMD factorization
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism
• The Theory of Deeply Inelastic Scattering
• Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Collins-Soper Equation for the Energy Evolution of Transverse-Momentum and Spin Dependent Parton Distributions
• Semi-Inclusive Hadron Production at HERA: the Effect of QCD Gluon Resummation
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Connecting Different TMD Factorization Formalisms in QCD
• TMD evolution and the Higgs transverse momentum distribution
• Cooling and the SU(2) Instanton Vaccuum
• Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
• Pion-induced Drell-Yan processes within TMD factorization
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Power corrections and renormalons in Transverse Momentum Distributions
• Transverse pion structure beyond leading twist in constituent models
• Transverse-momentum-dependent parton distribution functions up to twist 4 for spin-1 hadrons
• Transverse Spin Structure of the Nucleon
• Continuous renormalization group $\beta$ function from lattice simulations
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Tomography of pions and protons via transverse momentum dependent distributions
• Predicting the light-front holographic TMDs of the pion
• Instanton liquid properties from lattice QCD
• Mass sum rule of hadrons in the QCD instanton vacuum
• Hadronic structure on the light-front IV: Heavy and light Baryons
• Combining nonperturbative transverse momentum dependence with TMD evolution
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• Transverse momentum moments
• Pion gravitational form factors in the QCD instanton vacuum I
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Instanton size distributions from calibrated cooling
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Different approaches to TMD Evolution with scale
• The resolution to the problem of consistent large transverse momentum in TMDs
• Gradient flows and instantons at a Lifshitz point
• Visualisations of Centre Vortices
• Transverse moments of TMD parton densities and ultraviolet divergences
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Overview of TMD evolution