Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-17
Phys.Rev.D76:074003,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages
Scientific paper
10.1103/PhysRevD.76.074003
Using recent CLEO III results for the cross section for $e^+e^- \to {\rm hadrons}$ at seven centre-of-mass energies between 6.964 and 10.538 GeV, we derive a value for the strong coupling constant $\alpha_s(M_Z^2)=0.110_{-0.012}^{-0.010}{}_{-0.011}^{+0.010}$ where the uncertainties are uncorrelated and correlated, respectively. Our result differs significantly from the one derived by CLEO III, as a consequence of inclusion of quark mass effects and the proper matching between the effective theories with four and five flavours. Combining this new result with an analysis based on earlier cross section measurements in the energy region between 2 and 10.6 GeV, we obtain $\alpha_s(M_Z^2)=0.119^{+0.009}_{-0.011}$, well consistent with the current world average.
Kuhn Johann H.
Steinhauser Matthias
Teubner Thomas
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