# Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider

## TL;DR

This paper introduces lepton-jet correlations in deep inelastic scattering as a novel method for probing the internal structure of nucleons and nuclei at the Electron-Ion Collider, highlighting their sensitivity to quark distributions and nuclear effects.

## Contribution

It proposes using lepton-jet correlations as a new hard probe for nucleon and nucleus tomography, demonstrating their sensitivity to quark transverse momentum distributions and nuclear effects.

## Key findings

- Lepton-jet correlations depend on transverse momentum dependent quark distributions.
- They are sensitive to the Sivers function through single transverse spin asymmetries.
- In lepton-nucleus collisions, correlations reveal cold nuclear matter effects.

## Abstract

We propose the lepton-jet correlation in deep inelastic scattering as a unique tool for nucleon/nucleus tomography at the electron-ion collider. The azimuthal angular correlation between the final state lepton and jet depends on the transverse momentum dependent quark distributions. We take the example of single transverse spin asymmetries to show the sensitivity to the quark Sivers function. When the correlation is studied in lepton-nucleus collisions, transverse momentum broadening effects can be used to explore cold nuclear matter effects. These features make lepton-jet correlations an important new hard probe at the EIC.