Toward precision measurements of nucleon energy correlators in lepton-nucleon collisions

The nucleon energy-energy correlator (NEEC) was proposed recently [X. Liu and H. X. Zhu, Phys. Rev. Lett. 130, 091901 (2023)] 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-nucleon collisions. As a first step toward a precise measurement of this quantity, we obtained the next-to-leading-logarithmic [NLL, & SIM; Oo & alpha;ns Ln-1 thorn ] resummation in a concise analytic form, and predicted the analytic & theta;-angle distribution at Oo & alpha;2s thorn . Extending our analytic resummation formula to higher logarithmic accuracy and the factorization theorem to hadron-hadron collisions is straightforward.