After including TMD evolution, the Sivers asymmetry in these J/ψ processes at EIC kinematics remains sizable and largely independent of LDME choices, providing a robust probe of the gluon Sivers function.
Transverse Single Spin Asymmetry in $e+p^\uparrow \to e+J/\psi +X $ and Transverse Momentum Dependent Evolution of the Sivers Function
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abstract
We extend our analysis of transverse single spin asymmetry (SSA) in electroproduction of $J/\psi$ to include the effect of the scale evolution of the transverse momentum dependent (TMD) parton distribution functions and gluon Sivers function. We estimate SSA for JLab, HERMES, COMPASS, and eRHIC energies using the color evaporation model of charmonium production, using an analytically obtained approximate solution of TMD evolution equations discussed in the literature. We find that there is a reduction in the asymmetry compared with our predictions for the earlier case considered by us, wherein the $Q^2$ dependence came only from DGLAP evolution of the unpolarized gluon densities and a different parametrization of the TMD Sivers function was used.
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hep-ph 1years
2026 1verdicts
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The effect of TMD evolution on the Sivers asymmetry in back-to-back $J/\psi+\gamma$ and $J/\psi+\text{jet}$ production at the Electron-Ion-Collider
After including TMD evolution, the Sivers asymmetry in these J/ψ processes at EIC kinematics remains sizable and largely independent of LDME choices, providing a robust probe of the gluon Sivers function.