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arXiv · 2104.05173

Weighted $\sin\left(3ϕ_h -ϕ_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders

Shi-Chen xue·Xiaoyu Wang·De-Min Li·Zhun Lu
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Abstract

We investigate the transverse momentum weighted azimuthal asymmetry with a $\sin\left(3ϕ_h -ϕ_S\right)$ modulation in electroproduction of charged pion production off the transversely polarized proton. The asymmetry is contributed by the product of the second transverse-moment of the pretzelosity distribution function and the first transverse-moment of the Collins function. Using the extracted result for the proton pretzelosity and the available parametrization for the pion Collins function, we numerically predict the $P_{hT}^3$-weighted $\sin\left(3ϕ_h -ϕ_S\right)$ asymmetry for charged pion production at electron ion colliders (EICs). It is found that the weighted asymmetry is around 2 percent in the kinematics region of EICs. Our results show that the planned high luminosity electron ion colliders could be feasible to access pretzelosity in the near future.

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Shi-Chen xue, Xiaoyu Wang, De-Min Li, Zhun Lu. 2021-04-12. Weighted $\sin\left(3ϕ_h -ϕ_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders. https://doi.org/10.1016/j.physletb.2021.136598

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