Analytic Model for the QCD Running Coupling with Universal $\barα_s(0)$ Value

Details Analytic Model for the QCD Running Coupling with Universal $\barα_s(0)$ Value Analytic Model for the QCD Running Coupling with Universal $\barα_s(0)$ Value

1997-04-16

arxiv.org/abs/hep-ph/9704333v1

Phys.Rev.Lett. 79 (1997) 1209-1212

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTex with psfig.sty, 2 PostScript figures

Scientific paper

10.1103/PhysRevLett.79.1209

We discuss the new model expression $\bar{\alpha}_{an}(Q^2)$ recently obtained for the QCD running coupling with a regular ghost-free behavior in the "low $Q^2$" region. Being deduced from the standard "asymptotic-freedom" expression by imposing the $Q^2$-analyticity -- without any adjustable parameters -- it obeys nice features: (i) The universal limiting value $\bar{\alpha}_{an}(0)=4\pi /\beta_0 \simeq 1.4$ expressed only via group symmetry factors and independent of experimental estimates on the running coupling $\bar{\alpha}_s(Q^2)$ (of QCD scale parameter $\Lambda$). This value turns out to be stable with respect to higher order corrections; (ii) Stability of IR behavior with respect to higher-loop effects; (iii) Coherence between the experimental $\bar{\alpha}_{an}(M_{\tau}^2)$ value and integral information on IR $\bar{\alpha}_s(Q^2)$ behavior as extracted from jet physics data.

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