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Predicting the light-front holographic TMDs of the pion
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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, $h^\perp_{1}(x, k_\perp)$, 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.
Forward citations
Cited by 2 Pith papers
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New insights from the flavor dependence of quark transverse momentum distributions in the pion
First flavor-dependent extraction of unpolarized quark TMDs in the pion, finding a wider transverse momentum tail for valence d quarks than for sea quarks, with large uncertainties.
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$\phi$-meson spectroscopy and diffractive production using two Schr\"odinger like equations on the light-front
A two-equation light-front model reproduces the phi meson mass spectrum and HERA diffractive production cross sections, but underpredicts its decay constant.
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