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arXiv · 2404.13720

Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach

Zhimin Zhu·Siqi Xu·Jiatong Wu·Hongyao Yu·Zhi Hu·Jiangshan Lan·Chandan Mondal·Xingbo Zhao·James P. Vary·BLFQ Collaboration
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Abstract

Within the Basis Light-Front Quantization framework, we systematically investigate the subleading twist (twist-3) transverse-momentum-dependent parton distribution functions (TMDs) of the proton beyond the Wandzura-Wilczek (WW) approximation. The subleading twist TMDs are not independent and can be decomposed into twist-2 and genuine twist-3 terms from the equations of motion. The latter involves quark-quark-gluon correlations and contains interferences between two light-front Fock sectors, $|qqq\rangle$ and $|qqqg\rangle$, which are usually neglected in the WW approximation.

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Zhimin Zhu, Siqi Xu, Jiatong Wu, Hongyao Yu, Zhi Hu, Jiangshan Lan, Chandan Mondal, Xingbo Zhao, James P. Vary, BLFQ Collaboration. 2024-04-21. Transverse structure of the proton beyond leading twist: A light-front Hamiltonian approach. https://doi.org/10.1016/j.physletb.2024.138829

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