We predict the twist-2 Transverse Momentum Dependent parton distribution functions (TMDs) of the pion, namely the unpolarized quark TMD, f1(x,k⊥), and the transversely polarized quark TMD, also known as the Boer-Mulders function, h1⊥(x,k⊥), 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.
@article{arxiv.1907.06561,
title = {Predicting the light-front holographic TMDs of the pion},
author = {Mohammad Ahmady and Chandan Mondal and Ruben Sandapen},
journal= {arXiv preprint arXiv:1907.06561},
year = {2019}
}