Determining $\alpha_s(m_Z)$ from the Heavy Jet Mass distribution

TL;DR

This paper provides a precise determination of the strong coupling constant $oldsymbol{ ext{α}_s(m_Z)}$ using Heavy Jet Mass distribution data, incorporating advanced resummation techniques and non-perturbative effects.

Contribution

It introduces an improved analysis method combining dijet and shoulder logarithm resummation for $ ext{α}_s(m_Z)$ extraction from HJM data, including non-perturbative parameters.

Findings

Precise value of $ ext{α}_s(m_Z)$ obtained.

Numerical results for non-perturbative parameters $ ho$ and $ heta$.

Enhanced theoretical description of HJM spectrum.

Abstract

We present a state-of-the-art analysis on determining the strong coupling constant $\alpha_s(m_Z)$ from available $e^+e^-$ data for the Heavy Jet Mass (HJM) distribution. Dijet resummation is supplemented with additional resummation of shoulder logarithms appearing around the symmetric 3-jet configuration of the HJM spectrum. In addition to $\alpha_s(m_Z)$ we further obtain numerical results for two non-perturbative parameters, $\Omega_1^{\rho}$ and $\Theta_1$, encompassing effects from dijet and trijet hadronization effects, respectively.