High Energy Physics - Phenomenology
[Submitted on 19 Apr 2023 (v1), last revised 24 Apr 2023 (this version, v2)]
Title:Transvese momentum dependent parton distributions of pion at leading twist
View PDFAbstract:We calculate the leading twist pion unpolarized transverse momentum distribution $f_1(x,k_T^2)$ and the Boer-Mulders function $h_1^\perp(x,k_T^2)$, using leading Fock-state light front wave functions (LF-LFWFs) based on Dyson-Schwinger and Bethe-Salpeter equations. These DS-BSEs based LF-LFWFs provide dynamically generated s- and p-wave components, which are indispensable in producing chirally odd Boer-Mulders function that has one parton spin flipped. Employing a non-perturbative SU(3) gluon rescattering kernel to treat the gauge link of the Boer-Mulders function, we thus obtain both TMDs at hadronic scale and then evolve them to the scale of $\mu^2=4.0$ GeV$^2$. We finally calculate the generalized Boer-Mulders shift and find it to be in agreement with the lattice prediction.
Submission history
From: Chao Shi [view email][v1] Wed, 19 Apr 2023 17:10:41 UTC (1,322 KB)
[v2] Mon, 24 Apr 2023 09:53:03 UTC (1,327 KB)
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