Implications of the Principle of Maximum Conformality for the QCD Strong Coupling

Abstract

The Principle of Maximum Conformality (PMC) provides scale-fixed perturbative QCD predictions which are independent of the choice of the renormalization scheme, as well as the choice of the initial renormalization scale. In this article, we will test the PMC by comparing its predictions for the strong coupling α^s_{g_1}(Q), defined from the Bjorken sum rule, with predictions using conventional pQCD scale-setting. The two results are found to be compatible with each other and with the available experimental data. However, the PMC provides a significantly more precise determination, although its domain of applicability (Q \gtrsim 1.5 GeV) does not extend to as small values of momentum transfer as that of a conventional pQCD analysis (Q \gtrsim 1 GeV). We suggest that the PMC range of applicability could be improved by a modified intermediate scheme choice or using a single effective PMC scale.

18 pages, 3 figures

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• Process-independent strong running coupling
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• Extending the Predictive Power of Perturbative QCD
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Renormalization scheme and gauge (in)dependence of the generalized Crewther relation: what are the real grounds of the $\beta$-factorization property?
• Novel and self-consistency analysis of the QCD running coupling ${\alpha }_s(Q)$ in both the perturbative and nonperturbative domains
• Optimized determination of the polarized Bjorken sum rule in pQCD
• Precise perturbative predictions from fixed-order calculations
• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• Detailed Comparison of Renormalization Scale-Setting Procedures based on the Principle of Maximum Conformality
• Comparing optimized renormalization schemes for QCD observables
• Analysis of strong coupling constant with machine learning and its application
• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Elimination of QCD Renormalization Scale and Scheme Ambiguities
• High precision measurements of alpha_s at the future EIC
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• The QCD running coupling at all scales and the connection between hadron masses and Λ_s
• The Principle of Maximum Conformality Correctly Resolves the Renormalization-Scheme-Dependence Problem