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.

26 pages, 8 figures, typo fixed and plot corrected

References in corpus (29)

• Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
• 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
• 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
• 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
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Determination of the Collins-Soper Kernel from Lattice QCD
• Connecting Different TMD Factorization Formalisms in QCD
• TMD evolution and the Higgs transverse momentum distribution
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Semi-inclusive Deep-Inelastic Scattering, Parton Distributions and Fragmentation Functions at a Future Electron-Ion Collider
• Transverse-momentum-dependent parton distribution functions up to twist 4 for spin-1 hadrons
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• Light-front holographic $\rho$-meson distributions in the momentum space
• Mass sum rule of hadrons in the QCD instanton vacuum
• 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
• Glue in hadrons at medium resolution and the QCD instanton vacuum
• Different approaches to TMD Evolution with scale
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Gradient flows and instantons at a Lifshitz point
• Visualisations of Centre Vortices
• Collins-Soper Kernel in the QCD Instanton Vacuum

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