Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model

Abstract

We obtain the leading twist T-odd quark transverse momentum dependent parton distribution functions (TMDs) of the proton, namely the Sivers function, $f_{1T}^{\perp q}(x,p_{\perp }^2)$, and the Boer-Mulders function, $h_1^{\perp q}(x,p_{\perp }^2)$, in a light-front quark-diquark model constructed with the wave functions predicted by the soft-wall AdS/QCD. The gluon rescattering is crucial to predict a nonzero T-odd TMDs. We study the utility of a nonperturbative $SU(3)$ gluon rescattering kernel going beyond the usual approximation of perturbative $U(1)$ gluons. The spin asymmetries in semi-inclusive deep inelastic scattering (SIDIS) associated with these T-odd TMDs are found to be consistent with HERMES and COMPASS data. We also evaluate the generalized Sivers and Boer-Mulders shifts and compare them with the available lattice QCD simulations.

16 pages, 8 figures

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Cited by in corpus (7)

• Gluon distributions in the proton in a light-front spectator model
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
• TMD Relations: Insights from a Light-Front Quark-Diquark Model
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Mechanical properties of proton in the momentum space
• Role of higher twist distributions in the tomography of proton