Analysis of $\alpha_s$ from the realization of quark-hadron duality

TL;DR

This paper investigates how the running coupling constant in QCD influences the quark-hadron duality, revealing a smooth transition between perturbative and nonperturbative regimes in proton structure functions.

Contribution

It introduces a framework linking the realization of quark-hadron duality to nonperturbative effects in the running coupling constant within the proton's structure function analysis.

Findings

Demonstrates a smooth transition from perturbative to nonperturbative QCD

Highlights the role of the coupling constant in duality realization

Provides insights into the intermediate scale behavior of QCD

Abstract

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD in the context of the quark-hadron duality \`a la Bloom-Gilman. Our framework will be the unpolarized structure function of the proton in the resonance region. We suggest that the realization of duality is related to the inclusion of nonperturbative effects at the level of the coupling constant. The outcome of our analysis is a smooth transition from perturbative to nonperturbative QCD physics, embodied in the running of the coupling constant at intermediate scales.