Analytic Perturbation Theory for Practitioners and Upsilon Decay

Details Analytic Perturbation Theory for Practitioners and Upsilon Decay Analytic Perturbation Theory for Practitioners and Upsilon Decay

2005-12-24

arxiv.org/abs/hep-ph/0512325v5

Phys.Atom.Nucl.70:775-783,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 0 figures. Model slightly modified to increase its accuracy. Numerical results upgraded, references added. The issue

Scientific paper

10.1134/S1063778807040205

Within 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 $\Upsilon(1\mathrm{S})$ decay where the standard analysis gives $\alpha_s(M_{\Upsilon})=0.170\pm 0.004$ value that is inconsistent with the bulk of data for $\alpha_s$. Instead, we obtain $\alpha_s^{Mod}(M_{\Upsilon})=0.185\pm 0.005$ that corresponds to $\alpha_s^{Mod}(M_Z)=0.120\pm 0.002 $ that is close to the world average.\par The issue of scale uncertainty for $\Upsilon$ decay is also discussed.

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