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Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model
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An explicit evaluation of the two pion transverse momentum dependent parton distributions at leading twist is presented, in the framework of the Nambu-Jona Lasinio model with Pauli-Villars regularization. The transverse momentum dependence of the obtained distributions is generated solely by the dynamics of the model. Using these results, the so called generalized Boer-Mulders shift is studied and compared with recent lattice data. The obtained agreement is very encouraging, in particular because no additional parameter has been introduced. A more conclusive comparison would require a precise knowledge of the QCD evolution of the transverse momentum dependent parton distributions under scrutiny.
Forward citations
Cited by 3 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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Gradient flow for parton distribution functions: first application to the pion
Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.
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Off-shell modifications of the pion generalized parton distributions and transverse momentum dependent parton distributions
In the NJL model, off-shell pion GPDs and TMDs differ from on-shell ones by 15 to 25 percent and acquire new odd-power form factors from broken crossing symmetry.
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