Novel and self-consistency analysis of the QCD running coupling $\alpha_s(Q)$ in both the perturbative and nonperturbative domains

TL;DR

This paper introduces a novel, self-consistent method to analyze the QCD running coupling $oldsymbol{ ext{alpha}_s(Q)}$ across all energy scales by combining holographic models and perturbative QCD with the principle of maximum conformality.

Contribution

It proposes a new approach that integrates light-front holography and PMC to accurately describe $oldsymbol{ ext{alpha}_s(Q)}$ in both perturbative and nonperturbative regimes.

Findings

Achieves a smooth transition of $oldsymbol{ ext{alpha}_s(Q)}$ from low to high energies.

Provides a precise running behavior consistent with experimental data.

Demonstrates the effectiveness of combining holographic models with PMC for QCD analysis.

Abstract

The QCD coupling $\alpha_s$ is the most important parameter for achieving precise QCD predictions. By using the well measured effective coupling $\alpha^{g_1}_{s}(Q)$ defined from the Bjorken sum rules as a basis, we suggest a novel and self-consistency way to fix the $\alpha_s$ at all scales: The QCD light-front holographic model is adopted for its infrared behavior, and the fixed-order pQCD prediction under the principle of maximum conformality (PMC) is used for its high-energy behavior. Using the PMC scheme-and-scale independent perturbative series, and by transforming it into the one under the physical $V$-scheme, we observe that a precise $\alpha_s$ running behavior in both the perturbative and nonperturbative domains with a smooth transition from small to large scales can be achieved.