Benchmarking the Nearside Energy-Energy Correlators with Mellin Transform

Abstract

We investigate nearside energy-energy correlators (EECs) at small angles, explicitly incorporating the QCD scaling behavior in both the perturbative and post-confinement regimes through a Mellin-transform framework. As an illustration, we show that a single parameter, $Λ$, characterizing the transition scale between the two regimes, provides an excellent description of nearside EECs in $e^+e^-$ annihilation, including the recent ALEPH analysis as well as earlier measurements across different energies, with next-to-next-to-leading-order accuracy and next-to-next-to-leading-logarithmic resummation.