In this article, we investigate the $\cos 2{\varphi }_t$ azimuthal asymmetry in $ep\to eJ/\psi$ jet $X$, where the $J/\psi$-jet pair is almost back to back in the transverse plane, within the framework of the generalized parton model. We use nonrelativistic QCD (NRQCD) to calculate the $J/\psi$ production amplitude and incorporate both color singlet and color octet contributions to the asymmetry. We estimate the asymmetry using different parametrizations of the gluon transverse-momentum-dependent parton distributions in the kinematics that can be accessed at the future electron-ion collider (EIC) and also investigate the impact of transverse-momentum-dependent evolution on the asymmetry. We present the contributions coming from different states to the asymmetry in NRQCD.

• Received 4 April 2022
• Accepted 20 July 2022

DOI:https://doi.org/10.1103/PhysRevD.106.034009

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Published by the American Physical Society