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

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arxiv 2207.11527 v1 pith:45LIJFLU submitted 2022-07-23 hep-ph

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

classification hep-ph
keywords perptmdsboer-mulderssiverst-oddfunctionfunctionsgluon
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    hep-ph 2026-04 unverdicted novelty 6.0

    Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.