2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188149An elegant and more precise 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 Upsilon(1S) decay where the standard analysis gives $α_s(M_{\Ups})=0.170\pm 0.004$ value that is inconsistent with the bulk of data. Instead, we obtain $α_s(M_{\Ups})=0.185\pm 0.005$ that corresponds to $α_s(M_Z)=0.120\pm 0.002 $ that is close to the world average.9 pages, to be published in Proceedings of Workshop "e+e- Collisions from Phi to Psi" (Novosibirsk, Feb 2006) at Nucl Phys B (Proce. Suppl.)High Energy Physics - Phenomenologytext