Transverse momentum structure of proton within the basis light-front quantization framework

Zhi Hu; Siqi Xu; Chandan Mondal; Xingbo Zhao; James P. Vary

doi:10.1016/j.physletb.2022.137360

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arXiv · 2205.04714

Transverse momentum structure of proton within the basis light-front quantization framework

Zhi Hu·Siqi Xu·Chandan Mondal·Xingbo Zhao·James P. Vary

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Abstract

We obtain the leading-twist valence quark transverse-momentum-dependent parton distribution functions (TMD PDFs) for the proton within the basis light-front quantization (BLFQ) framework. Our results are consistent with lattice QCD calculations and our previous results for the collinear limit. We also obtain consistency with the Soffer-type bounds. Within our approach, we find that six T-even TMDs in the leading twist are all independent of each other, and previously found model-dependent relations do not hold. This is a promising sign that our results are representative of future, more extensive treatments of QCD. Furthermore, we obtain a non-trivial $ x $-dependence of the $ \left<(p^\perp)^2\right> $ and some consistency with the Gaussian ansatz but only in the small $ (p^\perp)^2 $ region. Those features suggest our results may be a useful alternative in future experimental extractions.

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Zhi Hu, Siqi Xu, Chandan Mondal, Xingbo Zhao, James P. Vary. 2022-08-12. Transverse momentum structure of proton within the basis light-front quantization framework. https://doi.org/10.1016/j.physletb.2022.137360

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