Analytic Perturbation Theory Model for QCD and Upsilon Decay

An elegant and more precise (Denominator) formula for the 3-loop perturbative QCD coupling is discussed. It improves the common expression (e.g., canonized by PDG) in few GeV region. On its base, we propose simple analytic Model for ghost-free QCD running couplings and their effective powers within the Analytic Perturbation Theory, in both the space-like (Euclidean) and time-like (Minkowskian) regions, very accurate in the range above 1 GeV.Effectiveness of the new Model is illustrated by the example of ϒ(1S) decay where the standard analysis gives αs(Mϒ)=0.170±0.004 value that is inconsistent with the bulk of data for αs. Instead, we obtain that corresponds to that is close to the world average.