Nonperturbative Effects in Energy Correlators: From Characterizing Confinement Transition to Improving $\hat{I}{\pm }_s$ Extraction

Abstract

Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter for any $N$, which has already been determined from other event shape fits. Including renormalon-free nonperturbative corrections substantially improves theoretical predictions of energy correlators, notably the transition into the confining region at small angles. Nonperturbative corrections are shown to have a significant impact on $\hat{I}{\pm }_s$ extractions.

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