Exploring nuclear modification using one-point energy correlator at the electron-ion collider

TL;DR

This paper investigates the one-point energy correlator in electron-ion collisions, proposing a formalism and predictions that can probe nuclear effects and transverse momentum broadening at the future Electron-Ion Collider.

Contribution

It introduces a factorization formalism for the one-point energy correlator in electron-proton and electron-nucleus collisions, highlighting its potential to study nuclear modifications and TMD physics.

Findings

OPEC serves as a probe of transverse momentum dependent physics.

Predictions for OPEC in electron-ion collisions relevant for EIC.

Demonstrates OPEC's sensitivity to medium-induced transverse momentum broadening.

Abstract

We study the one-point energy correlator (OPEC) at both the back-to-back and collinear limits in electron-proton and electron-nucleus collisions. We provide the factorization formalism for the two types of OPEC and present phenomenological predictions in the kinematic region relevant for the future Electron-Ion Collider. Focusing on cold nuclear matter effects in electron-nucleus scattering, we demonstrate that the OPEC serves as a powerful probe of the transverse momentum dependent (TMD) physics and in characterizing the medium-induced transverse momentum broadening in cold nuclear matter.