Test of the Running of ${\alpha }_s$ in $\tau$ Decays

Abstract

The $\tau$ decay rate into hadrons of invariant mass smaller than $\sqrt{s_0}\gg {\Lambda }_{\mathrm{QCD}}$ can be calculated in QCD assuming global quark--hadron duality. It is shown that this assumption holds for $s_0>0.7$~GeV${}^2$. From measurements of the hadronic mass distribution, the running coupling constant ${\alpha }_s(s_0)$ is extracted in the range 0.7~GeV${}^2<s_0<m_{\tau }^2$. At $s_0=m_{\tau }^2$, the result is ${\alpha }_s(m_{\tau }^2)=0.329\pm 0.030$. The running of ${\alpha }_s$ is in good agreement with the QCD prediction.

9 pages, 3 figures appended; shortened version with new figures, to appear in Physical Review Letters (April 1996)

References in corpus (4)

• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• QCD Analysis of Hadronic $\tau$ Decays Revisited
• Measurement of ${\alpha }_S$ from Jet Rates in Deep Inelastic Scattering at HERA

Cited by in corpus (23)

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• Optimal Renormalization Scale and Scheme for Exclusive Processes
• On the Behavior of the Effective QCD Coupling alpha_tau(s) at Low Scales
• The Adler Function for Light Quarks in Analytic Perturbation Theory
• A new determination of α_s from hadronic τ decays
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Determining the beta-function of the strong interaction and closing the light gluino window
• Implications of the ALEPH tau-Lepton Decay Data for Perturbative and Non-Perturbative QCD
• Precision physics with inclusive QCD processes
• Testing the Concept of Quark-Hadron Duality with the ALEPH $\tau$ Decay Data
• Renormalon-inspired resummations for vector and scalar correlators- estimating the uncertainty in {alpha}_{s}({m}_τ^{2}) and and α({M}_{Z}^{2})
• Experimental Tests of Asymptotic Freedom
• The uncertainty in ${\alpha }_s(M_Z^2)$ determined from hadronic tau decay measurements
• Exclusive and inclusive weak decays of the B-meson
• Testing QCD with Hypothetical Tau Leptons
• Tau Lepton Physics: Theory Overview
• Theory of Inclusive B Decays
• Charmed decays of the B-meson in the quark model
• Measuring the QCD Gell Mann-Low $\Psi$-function
• Perturbative QCD relations inspired by hypothetical tau leptons