Factorization and Resummation for the Nearside Energy-Energy Correlators

TL;DR

This paper develops a comprehensive factorization and resummation framework for near-side energy-energy correlators in high-energy physics, improving theoretical predictions at small angles through all-order resummation in Fourier space.

Contribution

It extends the factorization formalism for EEC in the collinear limit and derives an all-order resummation in Fourier space, matching fixed-order results.

Findings

Resummation significantly improves predictions at small angles.

All-order resummation matches fixed-order calculations.

Demonstrates effects in $e^+e^-$ annihilation.

Abstract

By utilizing the di-hadron fragmentation formalism, we extend the previous factorization of nearside energy-energy correlators (EEC) in the collinear limit and derive an all order resummation in the Fourier transform $b_T$-space. A perfect matching is obtained when we compare to the fixed-order results. We further demonstrate the resummation effects for the EEC in $e^+e^-$ annihilation and show that they will significantly improve the theoretical predictions at small angles.