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The twist-three distribution e(x,k⊥) in a light-front model

2018/06/30 by B. Pasquini, Simone Rodini, S. Rodini · 1 citation
Physics and Astronomy · #Distribution function #Geometry #Gluon #High-Energy Particle Collisions Research #Light cone #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Quark model #Quarkonium #Radiative transfer #Twist #hep-ex #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1016/j.physletb.2018.11.033

published as Phys. Lett. B788 (2019) 414-424 · 15 pages; 5 figures; 2 tables

openalex created_date 2018/07/10 · arxiv created 2018/08/09 · openalex publication_date 2018/11/22 · arxiv updated 2018/12/06 · openalex updated_date 2026/08/05

Abstract

We discuss the twist-three, unpolarized, chiral-odd, transverse momentum dependent parton distribution (TMD) eq(x,k⊥) within a light-front model. We review a model-independent decomposition of this TMD, which follows from the QCD equations of motion and is given in terms of a mass term, a pure interaction-dependent contribution, and singular terms. The mass-term and pure twist-three contributions are represented in terms of overlap of light-front wave functions (LFWFs), taking into account the Fock states with three valence quark (3q) and three-quark plus one gluon (3q+g). The 3q and 3q+g LFWFs with total orbital angular momentum zero are modeled using a parametrization derived from the conformal expansion of the proton distribution amplitudes, with parameters fitted to reproduce available phenomenological information on the unpolarized leading-twist quark and gluon collinear parton distributions. Numerical predictions for both the quark TMD eq(x,k⊥) and the collinear parton distribution eq(x) are presented, discussing the role of the quark–gluon correlations in the proton. Keywords: Higher-twist transverse momentum dependent parton distributions, Quark–gluon correlations, Light-front wave functions

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