Analytic Perturbation Theory for Practitioners and Upsilon Decay

dc.creatorShirkov, D. V.
dc.creatorZayakin, A. V.
dc.date2005-12-24
dc.date2006-11-15
dc.date.accessioned2026-07-07T10:44:34Z
dc.date.available2026-07-07T10:44:34Z
dc.descriptionWithin the ghost-free Analytic Perturbation Theory (APT), devised in the last decade for low energy QCD, simple approximations are proposed for 3-loop analytic couplings and their effective powers, in both the space-like (Euclidean) and time-like (Minkowskian) regions, accurate enough in the large range (1--100 GeV) of current physical interest.\par Effectiveness of the new Model is illustrated by the example of $Υ(1\mathrm{S})$ decay where the standard analysis gives $α_s(M_Υ)=0.170\pm 0.004$ value that is inconsistent with the bulk of data for $α_s$. Instead, we obtain $α_s^{Mod}(M_Υ)=0.185\pm 0.005$ that corresponds to $α_s^{Mod}(M_Z)=0.120\pm 0.002 $ that is close to the world average.\par The issue of scale uncertainty for $Υ$ decay is also discussed.
dc.description12 pages, 0 figures. Model slightly modified to increase its accuracy. Numerical results upgraded, references added. The issue of scale uncertainty is discussed
dc.identifierhttps://arxiv.org/abs/hep-ph/0512325
dc.identifierhttp://arxiv.org/abs/hep-ph/0512325
dc.identifierPhys.Atom.Nucl.70:775-783,2007
dc.identifierdoi:10.1134/S1063778807040205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182635
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnalytic Perturbation Theory for Practitioners and Upsilon Decay
dc.typetext

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