Simple Scaling Laws for Energy Correlators in Nuclear Matter

TL;DR

This paper introduces a novel application of light-ray operator product expansion to nuclear collisions, revealing how energy correlators are modified by nuclear effects and providing a framework to interpret experimental data.

Contribution

It demonstrates the first mapping of energy correlator scaling behaviors to quantum field theory properties in nuclear collisions using light-ray OPE, highlighting leading nuclear modifications.

Findings

Leading nuclear modification characterized by twist-4 operator enhancement

Scaling ratio of energy correlators in nuclear matter to vacuum is approximately 1 + aθ²

The approach accurately describes recent experimental data on A-A and p-A collisions

Abstract

Collider experiments involving nuclei provide a direct means of studying exotic states of nuclear matter. Recent measurements of energy correlators in both proton-nucleus (p-A) and nucleus-nucleus (A-A) collisions reveal sizable modifications, attributable to nuclear effects, compared to proton-proton (p-p) collisions. Energy correlators, and their associated light-ray operator product expansion (OPE), allow scaling behaviors of the measured spectrum to be directly mapped to properties of the underlying quantum field theory. Here, we demonstrate for the first time how this mapping occurs in nuclear collisions, and highlight how the light-ray OPE characterizes leading nuclear effects. We show that the leading modification to the energy correlator distribution is characterized by an enhancement of the expectation value of twist-4 light-ray operators, resulting in a scaling for the ratio of the two-point correlator in nuclear matter to that in vacuum of $\sim 1+a\theta^2$ up to quantum corrections. We verify that this leading twist-4 correction accurately describes recent A-A and p-A data, and is thus sufficient to capture the scaling behavior within the angular range measured for jet radii used in nuclear experiments. Our light-ray OPE based approach lays the groundwork for a rigorous characterization of nuclear modification to energy correlator observables.