New analytic running coupling in QCD: higher loop levels

Details New analytic running coupling in QCD: higher loop levels New analytic running coupling in QCD: higher loop levels

2001-11-07

arxiv.org/abs/hep-ph/0111067v2

Mod.Phys.Lett. A16 (2001) 2517-2528

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX 2.09, 12 pages with 5 EPS figures, uses mpla1.sty; enlarged version is accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732301005989

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It is shown that at any loop level the relevant $\beta$ function has the universal behaviors at small and large values of the invariant charge. Due to this feature the new analytic running coupling possesses the universal asymptotics both in the ultraviolet and infrared regions irrespective of the loop level. The consistency of the model considered with the general definition of the QCD invariant charge is shown.

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