Transverse momentum dependent parton distributions of pion at leading twist
Abstract
We calculate the leading twist pion unpolarized transverse momentum distribution f1(x ,kT2) and the Boer-Mulders function h1⊥(x ,kT2) , using leading Fock-state light front wave functions (LF-LFWFs) based on Dyson-Schwinger and Bethe-Salpeter equations (DS-BSEs). These DS-BSEs based LF-LFWFs provide dynamically generated s- and p-wave components, which are indispensable in producing the chirally odd Boer-Mulders function that has one parton spin flipped. Employing a nonperturbative SU(3) gluon rescattering kernel to treat the gauge link of the Boer-Mulders function, we thus obtain both transverse momentum dependent parton distribution functions at hadronic scale and then evolve them to the scale of μ2=4.0 GeV2 . We finally calculate the generalized Boer-Mulders shift and find it to be in agreement with the lattice quantum chromodynamics prediction.
- Publication:
-
Physical Review D
- Pub Date:
- August 2023
- DOI:
- 10.1103/PhysRevD.108.036021
- arXiv:
- arXiv:2304.09814
- Bibcode:
- 2023PhRvD.108c6021K
- Keywords:
-
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 20 pages, 5 figures