Analytic Perturbation Theory Model for QCD and Upsilon Decay

dc.creatorShirkov, D. V.
dc.date2006-11-05
dc.date.accessioned2026-07-07T11:02:06Z
dc.date.available2026-07-07T11:02:06Z
dc.descriptionAn 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.
dc.description9 pages, to be published in Proceedings of Workshop "e+e- Collisions from Phi to Psi" (Novosibirsk, Feb 2006) at Nucl Phys B (Proce. Suppl.)
dc.identifierhttps://arxiv.org/abs/hep-ph/0611048
dc.identifierhttp://arxiv.org/abs/hep-ph/0611048
dc.identifierNucl.Phys.Proc.Suppl.162:33-38,2006
dc.identifierdoi:10.1016/j.nuclphysbps.2006.09.061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188149
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnalytic Perturbation Theory Model for QCD and Upsilon Decay
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