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arxiv: hep-ph/0302003 · v1 · submitted 2003-02-01 · ✦ hep-ph

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Renormalization group analysis of the tau-lepton decay within QCD

A.A. Pivovarov
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classification ✦ hep-ph
keywords decaytau-leptonanalysisanalyticanalyzedappearingcontinuationcorrections
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A technique to sum up the regular corrections appearing under the analytic continuation from the spacelike momentum region to the timelike one is proposed. A perturbative part of the inclusive semileptonic decay width of the tau-lepton in analyzed in detail.

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    Combined fits of KEDR and BESIII R(s) data yield alpha_s(M_Z) = 0.1179, 0.1221, and 0.1312 at NLO, NNLO, and NNNLO, demonstrating strong dependence on perturbative truncation order.