Universality in the Near-Side Energy-Energy Correlator
Xiaohui Liu, Werner Vogelsang, Feng Yuan, Huaxing Zhu
Abstract
We investigate the energy-energy correlator (EEC) of hadrons produced on the same side in e^{+}e^{-} annihilation or in leading jets in pp collisions. We observe a remarkable universality of the correlator. Using a nonperturbative transverse momentum dependent (TMD) fragmentation function to model the transition from the "free-hadron" region to the perturbative collinear region, we are able to describe the near-side shapes and peaks over a wide range of energy for both the e^{+}e^{-} annihilation and the pp jet substructure measurements in terms of just two parameters. We present further predictions for the ratio of the projected three-point energy correlator to the EEC. The excellent agreement between our calculations and the experimental data may provide new insights into the role of nonperturbative physics for EECs, and suggests the possibility of exploring nonperturbative TMDs using theoretical tools developed for the energy correlators.