The QCD running coupling at all scales and the connection between hadron masses and \Lambda_s

TL;DR

This paper discusses recent advances in understanding the QCD running coupling in the nonperturbative regime, enabling the analytical calculation of hadron masses solely based on _s, with results matching experimental data.

Contribution

It introduces a method to compute hadron mass spectra analytically using the QCD running coupling and _s as the only input, bridging theory and experiment.

Findings

Computed hadron spectra agree with experimental data

Analytical approach links _s to hadron masses

Advances in understanding nonperturbative QCD regime

Abstract

We report on recent experimental and theoretical developments in our understanding of the QCD running coupling \alpha_s in QCD's nonperturbative regime. They allow us to analytically compute the hadron mass spectrum, with \Lambda_s the only input necessary to this determination. The computed spectra agrees well with experimental data.