On the role of $J/{\psi}$ production in electron-ion collisions

TL;DR

This paper investigates $J/\psi$ production in electron-ion collisions using NRQCD at NLO, highlighting its potential to constrain gluon distributions and test QCD models at the future Electron-Ion Collider.

Contribution

It provides the first detailed NLO analysis of $J/\psi$ leptoproduction in polarized and unpolarized electron-ion collisions within the NRQCD framework.

Findings

$J/\psi$ production can constrain gluon distributions.

$J/\psi$-tagged DIS is a promising probe for nuclear gluon PDFs.

The study supports the use of $J/\psi$ as a key channel at the EIC.

Abstract

Within the framework of non-relativistic QCD (NRQCD) effective field theory, we study the leptoproduction of $J/{\psi}$ at next-to-leading order in perturbative QCD for both unpolarized and polarized electron-ion collisions. We demonstrate that the $J/{\psi}$-tagged deep inelastic scattering in the future Electron-Ion Collider can be served as a golden channel for the reasons including constraining NRQCD long distance matrix elements, probing the nuclear gluon distribution functions, as well as investigating the gluon helicity distribution inside a longitudinal polarized proton.