Novel and Self-Consistency Analysis of the QCD Running Coupling αs(Q) in Both the Perturbative and Nonperturbative Domains

The quantum chromodynamics (QCD) coupling alpha(s) is the most important parameter for achieving precise QCD predictions. By using the well measured effective coupling alpha(g1)(s)(Q) defined from the Bjorken sum rules as a basis, we suggest a novel 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.

Automated summary

This study proposes a novel self-consistency method to determine the running behavior of alpha(s) at all scales by using the well measured effective coupling constant and the principle of maximum conformality. By adopting the QCD light-front holographic model for infrared behavior and using the fixed-order pQCD prediction for high-energy behavior, precise running behavior of alpha(s) in both perturbative and nonperturbative domains is achieved with a smooth transition from small to large scales.