Measuring $α_s(Q^2)$ in $τ$ Decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, 7 figures appended, to appear in the Proceedings of Les Rencontres de Physique de la Vall\'ee d'Aoste (La Thuile, It

Scientific paper

The decay rate of the $\tau$ lepton into hadrons of invariant mass smaller than $Q\gg\Lambda_{\rm QCD}$ can be calculated in QCD using the OPE. Using experimental data on the hadronic mass distribution, the running coupling constant $\alpha_s(Q^2)$ is extracted in the range $0.85~\mbox{GeV}

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