Determination of the strong coupling constant and the Collins-Soper kernel from the energy-energy correlator in $e^+e^-$ collisions

TL;DR

This paper presents the first simultaneous global fit of the strong coupling constant and the Collins-Soper kernel using energy-energy correlators in electron-positron collisions, achieving results consistent with world averages and lattice QCD.

Contribution

It introduces a novel combined analysis of $ m{N}^{3} m{LL}$ TMD factorization of EEC to extract both $ ext{alpha}_s$ and the CS kernel from $e^+e^-$ data.

Findings

$ ext{alpha}_s$ consistent with the world average

Two parametrizations of the CS kernel agree with lattice QCD

Results align with semi-inclusive DIS and Drell-Yan data

Abstract

We have conducted the first simultaneous global fit of the strong coupling constant $\alpha_s$ and the Collins-Soper (CS) kernel using the energy-energy correlators (EEC) of $e^{+} e^{-}$ collisions in the back-to-back limit. This analysis, based on the transverse-momentum-dependent (TMD) factorization of EEC at next-to-next-to-next-to-leading logarithmic ($\rm{N}^{3} \rm{LL}$) accuracy, yields $\alpha_s$ consistent with the world average. We have tested two different parametrizations for the non-perturbative CS kernel and found both to align with results obtained from lattice QCD and fits on semi-inclusive deep inelastic scattering and Drell-Yan process.