1. Pion Boer-Mulders function using a contact interaction
- Author
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Cheng, Dan-Dan, Cui, Zhu-Fang, Ding, Minghui, Roberts, Craig D., and Schmidt, Sebastian M.
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Experiment ,High Energy Physics - Lattice ,Nuclear Experiment ,Nuclear Theory - Abstract
A symmetry preserving treatment of a vector $\otimes$ 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., Comment: 14 pages, 9 figures, 1 table
- Published
- 2024