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Transvese momentum dependent parton distributions of pion at leading twist

2023/04/19 by Wei Kou, Kou, Wei, Chao Shi +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2304.09814

openalex publication_date 2023/04/19 · openalex created_date 2023/04/22 · openalex updated_date 2026/07/28

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. 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 μ2=4.0 GeV2. We finally calculate the generalized Boer-Mulders shift and find it to be in agreement with the lattice prediction.

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