Towards the Precision Nucleon Energy-Energy Correlator in Lepton-Ion Collisions

TL;DR

This paper develops a theoretical framework for measuring the nucleon energy-energy correlator in lepton-ion collisions, providing resummation techniques and predictions to enable precise future experimental studies.

Contribution

It presents a detailed derivation of the factorization theorem and provides the first NLL resummation and analytic predictions for the NEEC in lepton-ion collisions.

Findings

Derived the factorization theorem for NEEC in lepton-ion collisions.

Obtained NLL resummation in a concise analytic form.

Predicted the $ heta$-angle distribution at ${ m O}(\a_s^2)$.

Abstract

The nucleon energy-energy correlator (NEEC) was proposed in 2209.02080 as a new way of studying nucleon intrinsic dynamics. In this work, we present a detailed derivation of the factorization theorem that enables the measurement of the unpolarized NEEC in lepton-ion collisions. As a first step towards a precise measurement of this quantity, we obtained the next-to-leading-logarithmic (NLL, $\sim{\cal O}(\alpha_s^n L^{n-1})$) resummation in a concise analytic form, and predicted the analytic $\theta$-angle distribution at ${\cal O}(\alpha^2_s)$. Extending our analytic resummation formula to higher logarithmic accuracy and the factorization theorem to hadron-hadron collisions is straightforward.