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

Abstract

The quantum chromodynamics (QCD) coupling α s is the most important parameter for achieving precise QCD predictions. By using the well measured effective coupling α s g 1 ( Q ) defined from the Bjorken sum rules as a basis, we suggest a novel self-consistency way to fix the α 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 α s running behavior in both the perturbative and nonperturbative domains with a smooth transition from small to large scales can be achieved.