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arXiv · 2207.11527

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

Bheemsehan Gurjar·Dipankar Chakrabarti·Chandan Mondal
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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.

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Bheemsehan Gurjar, Dipankar Chakrabarti, Chandan Mondal. 2022-07-23. Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model. https://doi.org/10.1103/physrevd.106.114027

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