Test of the Running of $α_s$ in $τ$ Decays

Details Test of the Running of $α_s$ in $τ$ Decays Test of the Running of $α_s$ in $τ$ Decays

1995-11-22

arxiv.org/abs/hep-ph/9511392v2

Phys.Rev.Lett. 76 (1996) 3061-3064

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevLett.76.3061

The $\tau$ decay rate into hadrons of invariant mass smaller than $\sqrt{s_0}\gg\Lambda_{\rm QCD}$ 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

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