Dihadron Fragmentation and the Confinement Transition in Energy Correlators

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.

Figures (2)

• Figure 1: Partons from a hard scattering undergo a cascade of partonic splittings at small angles $1\gg z\gg \Lambda_{\rm QCD}^2/Q^2$, and ultimately confine via hadronization into a dense cloud of uncorrelated hadrons separated by $z \sim \Lambda_{\rm QCD}^2/Q^2$.
• Figure 2: Leading logarithmic (top) and next-to-leading logarithmic (bottom) predictions of EEC as a function of $z Q^2$ in the $z Q^2\sim \Lambda_{\rm QCD}^2$ region. Only the central curve (dashed) at $Q=m_Z$ is fit, while rest of the curves are derived according to the perturbative evolution from Eq. \ref{['eq:jetRG']}.