Extracting $\alpha_\mathrm{S}$ at future $e^+e^{-}$ Higgs factory with energy correlators

TL;DR

This paper proposes using energy correlator ratios at future electron-positron colliders to measure the strong coupling constant  with 1-2% precision, reducing uncertainties in the collinear region.

Contribution

It introduces a novel method employing energy correlator ratios to improve  measurement precision at future colliders, especially in the collinear region.

Findings

Potential  precision of 1-2% with future collider data

Energy correlator ratios effectively reduce theoretical and hadronization uncertainties

Method applicable in high-statistics collider environments

Abstract

The prospected sensitivity in $\alpha_\mathrm{S}$ determination using an event shape observable, ratio of energy correlators at future electron-positron colliders is presented. The study focuses on the collinear region which has suffered from large theoretical and hadronization uncertainty in the past. The ratio effectively reduces the impacts of the uncertainties. With the amount of data that future electron-positron colliders could produce in 1 minute (40 $\text{pb}^{-1}$), a 1--2\% precision of $\alpha_\mathrm{S}$ could be reached depending on the hadronization uncertainty considered.