Light-front holographic $\rho$-meson distributions in the momentum space

Abstract

We present the leading-twist quark transverse momentum-dependent parton distribution functions (TMDs) for the spin-1 target, such as the $\rho$-meson, in the light-front framework. Specifically, we predict the TMDs in the light-front holographic model and compare with the light-front quark model predictions. We obtain the TMDs using the overlap of the light-front wave functions. We evaluate the ${\mathbf{k}}_{\perp }$ moments upto second order and compare with the available theoretical predictions. Further, we analyze the leading-twist parton distribution functions (PDFs) of the $\rho$-meson in the light-front holographic model which are found to be in accord with the Nambu-Jona-Lasinio (NJL) model and the light-front quark model predictions. We further study the QCD evolution of the PDFs. The positivity bounds on the TMDs and the PDFs are also discussed. We also present the quark spin densities in the transverse momentum plane for different polarization configurations of the quark and the $\rho$-meson target.

41 pages, 11 figures; To appear in JHEP

References in corpus (13)

• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Holography: A First Approximation to QCD
• Relations between generalized and transverse momentum dependent parton distributions
• Parton Fragmentation Functions
• Light and heavy mesons in a soft-wall holographic approach
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Meson wave function from holographic models
• Pion TMDs in light-front constituent approach, and Boer-Mulders effect in the pion-induced Drell-Yan process
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Predicting $B->\rho \gamma$ and $B_s->\rho \gamma$ using holographic AdS/QCD Distribution Amplitudes for the $\rho$ meson
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• The isospin asymmetry in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ using AdS/QCD
• Light-front holographic radiative transition form factors for light mesons

Cited by in corpus (12)

• Extending light-front holographic QCD using the 't Hooft Equation
• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Light-front wavefunctions of mesons by design
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target
• Exclusive photo- and electroproduction of excited light vector mesons via holographic model
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Valence quark distribution of light $\rho$ and heavy $J/\psi$ vector mesons in light-cone quark model
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules