  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.
