We investigate the transverse momentum weighted azimuthal asymmetry with a sin(3ϕh−ϕS) 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 PhT3-weighted sin(3ϕh−ϕS) 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.
@article{arxiv.2104.05173,
title = {Weighted $\sin\left(3\phi_h -\phi_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders},
author = {Shi-Chen xue and Xiaoyu Wang and De-Min Li and Zhun Lu},
journal= {arXiv preprint arXiv:2104.05173},
year = {2021}
}