Novel and Self-Consistency Analysis of the QCD Running Coupling $\alpha_{\rm s}(Q)$ in Both the Perturbative and Nonperturbative Domains
Qing Yu1,2 , Hua Zhou1,2 , Xu-Dong Huang1 , Jian-Ming Shen3 , and Xing-Gang Wu1*
1 Department of Physics, Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 401331, China2 Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, N-7491 Trondheim, Norway3 School of Physics and Electronics, Hunan University, Changsha 410082, China
Abstract ：The quantum chromodynamics (QCD) coupling $\alpha_{\rm s}$ is the most important parameter for achieving precise QCD predictions. By using the well measured effective coupling $\alpha^{g_1}_{\rm s}(Q)$ defined from the Bjorken sum rules as a basis, we suggest a novel self-consistency way to fix the $\alpha_{\rm s}$ 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 $\alpha_{\rm s}$ running behavior in both the perturbative and nonperturbative domains with a smooth transition from small to large scales can be achieved.
收稿日期: 2022-05-27
Express Letter
出版日期: 2022-06-18
:
12.38.Aw
(General properties of QCD (dynamics, confinement, etc.))
12.38.Bx
(Perturbative calculations)
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2022, Vol. 39 
