Pion Boer-Mulders function using a contact interaction
Dan-Dan Cheng🇨🇳 · Zhu-Fang Cui🇨🇳 · Minghui Ding🇨🇳 · Craig D. Roberts🇨🇳 · Sebastian M. Schmidt🇩🇪
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.