Predicting the light-front holographic TMDs of the pion

Abstract

We predict the twist-2 Transverse Momentum Dependent parton distribution functions (TMDs) of the pion, namely the unpolarized quark TMD, $f_1(x,k_{\perp })$, and the transversely polarized quark TMD, also known as the Boer-Mulders function, $h_1^{\perp }(x,k_{\perp })$, using a holographic light-front pion wavefunction with dynamical spin effects. These spin effects, in conjunction with gluon rescattering, are crucial to predict a non-zero holographic Boer-Mulders function. We investigate the use of a non-perturbative SU(3) gluon rescattering kernel, thus going beyond the usual approximation of perturbative U(1) gluons. We find that the non-perturbative color dynamics offer a more promising way to describe the available lattice data on the generalized Boer-Mulders shifts.

20 pages, 4 figures

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• Are all Boer-Mulders functions alike?
• Dynamical spin effects in the holographic light-front wavefunctions of light pseudoscalar mesons
• Pion nucleus Drell-Yan process and parton transverse momentum in the pion
• Boer-Mulders effect in the unpolarized pion induced Drell-Yan process at COMPASS within TMD factorization

Cited by in corpus (8)

• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
• Tomography of light mesons in light-cone quark model
• Light-front holographic $\rho$-meson distributions in the momentum space
• Nucleon electroweak form factors using spin-improved holographic light-front wavefunctions
• Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
• Two-body light front wave functions from general AdS/QCD models
• Pion-nucleus induced Drell-Yan cross section in models inspired by light-front holography
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions