Dihadron Fragmentation and the Confinement Transition in Energy Correlators

TL;DR

This paper establishes a nonperturbative proof linking dihadron fragmentation functions to energy correlators, providing insights into the confinement transition in high-energy particle collisions.

Contribution

It introduces a nonperturbative proof of factorization for energy correlators and connects jet functions to dihadron fragmentation functions, elucidating the confinement transition.

Findings

Nonperturbative proof of energy correlator factorization

Relation between jet functions and dihadron fragmentation functions

Rigorous description of the confinement transition region

Abstract

In this letter, we relate the factorization for $e^+e^- \to h_1 h_2 X$ to the factorization for energy-energy correlators in the collinear limit. This enables us to give a nonperturbative proof of factorization for the energy correlators, relate the energy correlator jet function to transverse-momentum-sensitive dihadron fragmentation functions, and provide a rigorous description of the confinement transition region.