Pion transverse momentum dependent parton distributions in the Nambu and Jona-Lasinio model

TL;DR

This paper calculates pion transverse momentum dependent parton distributions using the Nambu-Jona-Lasinio model, showing good agreement with lattice data without extra parameters, highlighting the model's dynamic generation of transverse momentum dependence.

Contribution

It provides the first explicit evaluation of these distributions within the NJL model with Pauli-Villars regularization, emphasizing the model's ability to generate transverse momentum dependence dynamically.

Findings

Good agreement with lattice data for the generalized Boer-Mulders shift

Transverse momentum dependence arises solely from the model's dynamics

No additional parameters were needed for the comparison

Abstract

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.