Strong coupling constant from $τ$ decay within renormalization scheme invariant treatment

Details Strong coupling constant from $τ$ decay within renormalization scheme invariant treatment Strong coupling constant from $τ$ decay within renormalization scheme invariant treatment

2000-02-15

arxiv.org/abs/hep-ph/0002166v2

Phys.Rev. D63 (2001) 036001

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages

Scientific paper

10.1103/PhysRevD.63.036001

We extract a numerical value for the strong coupling constant \alpha_s from the \tau-lepton decay rate into nonstrange particles. A new feature of our procedure is the explicit use of renormalization scheme invariance in analytical form in order to perform the actual analysis in a particular renormalization scheme. For the reference coupling constant in the \MSsch-scheme we obtain \alpha_s(M_\tau)= 0.3184 \pm 0.0060_{exp} which corresponds to \al_s(M_Z)= 0.1184 \pm 0.0007_{exp} \pm 0.0006_{hq mass}. This new numerical value is smaller than the standard value from $\tau$-data quoted in the literature and is closer to \al_s(M_Z)-values obtained from high energy experiments.

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