A symmetry preserving treatment of a vector ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous Boer-Mulders (BM) function. Amongst other things, the analysis enables the following themes to be addressed: the quark current mass dependence of pion TMDs; the impact of the gauge link model on the positivity constraint that bounds the BM function relative to the unpolarised TMD; the equivalence of direct diagrammatic and light-front wave function TMD calculations; and the size of the BM shift. Interpreted astutely, these SCI results enable one to draw insightful pictures of pion TMDs.
Cite
@article{arxiv.2409.11568,
title = {Pion Boer-Mulders function using a contact interaction},
author = {Dan-Dan Cheng and Zhu-Fang Cui and Minghui Ding and Craig D. Roberts and Sebastian M. Schmidt},
journal= {arXiv preprint arXiv:2409.11568},
year = {2024}
}