Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions

Abstract

We analyse the rho meson unpolarized and polarized transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM). The corresponding TMDs in ILM are approximated by a constituent quark beam function in the leading Fock state multiplied by a rapidity-dependent factor resulting from the staple-shaped Wilson lines, for fixed longitudinal momentum, transverse separation, and rapidity. At the resolution of the ILM, all of the rho meson TMDs are symmetric in parton x for fixed transverse momentum, and Gaussian-like in the transverse momentum for fixed parton x. The latter is a direct consequence of the profiling of the quark zero modes in the ILM. The evolved TMDs at higher rapidity using the Collins-Soper kernel, and higher resolution using the renormalization group (RG), show substantial skewness towards low parton x.

arXiv comment26 pages, 8 figures, typo fixed and plot corrected

References in corpus (55)

• Instantons in QCD
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• The Spin Structure of the Nucleon
• Instantons at work
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• Extraction of partonic transverse momentum distributions from semi-inclusive deep-inelastic scattering, Drell-Yan and Z-boson production
• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• Analysis of vector boson production within TMD factorization
• Azimuthal and Single Spin Asymmetries in Hard Scattering Processes
• Transverse-momentum-dependent parton distributions up to N${}^3$LL from Drell-Yan data
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Determining the Nonperturbative Collins-Soper Kernel From Lattice QCD
• Next-to-leading Order Evolution of Transversity Distributions and Soffer's Inequality
• 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
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• The Nucleon's Tensor Charge
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Determination of the Collins-Soper Kernel from Lattice QCD
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• Connecting Different TMD Factorization Formalisms in QCD
• Pionic and Hidden-Color, Six-Quark Contributions to the Deuteron b1 Structure Function
• TMD evolution and the Higgs transverse momentum distribution
• Cooling and the SU(2) Instanton Vaccuum
• Twist-2 matching of transverse momentum dependent distributions
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Pion-induced Drell-Yan processes within TMD factorization
• Semi-inclusive Deep-Inelastic Scattering, Parton Distributions and Fragmentation Functions at a Future Electron-Ion Collider
• Power corrections and renormalons in Transverse Momentum Distributions
• Transverse Spin Structure of the Nucleon
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Transverse-momentum-dependent parton distribution functions up to twist 4 for spin-1 hadrons
• Continuous renormalization group $\beta$ function from lattice simulations
• Instanton liquid properties from lattice QCD
• Light-front holographic $\rho$-meson distributions in the momentum space
• Revisiting model relations between T-odd transverse-momentum dependent parton distributions and generalized parton distributions
• Mass sum rule of hadrons in the QCD instanton vacuum
• Relativistic Calculation of Structure Functions b_{1,2}(X) of the Deuteron
• Hadronic structure on the light-front IV: Heavy and light Baryons
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Pion gravitational form factors in the QCD instanton vacuum I
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Instanton size distributions from calibrated cooling
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Different approaches to TMD Evolution with scale
• Gradient flows and instantons at a Lifshitz point
• Visualisations of Centre Vortices
• Collins-Soper Kernel in the QCD Instanton Vacuum
• Overview of TMD evolution

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