On the analytic “casual” model for the QCD running coupling

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Abstract

We discuss the model αan (Q2) recently proposed for the QCD running coupling αs (Q2) in the Euclidean domain on the basis of the “asymptotic-freedom” expression and on causality condition in the form of the Q2-analyticity.

The model contains no adjustable parameters and obeys the important features: (i) Finite ghost-free behavior in the “low Q2” region and correspondence with the standard RG-summed UV expression; (ii) The universal limiting value αan(0) expressed only via group symmetry factors. This value as well as the αan behaviour in the whole IR region Q2Λ2 turns out to be stable with respect to higher loop correction; (iii) Coherence between observed αs(Mτ2) value and integral information on the IR αs(Q2) behavior extracted from jet physics.

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