Institute for Theoretical Particle Physics (TTP)

TTP07-16 Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^+e^-$ annihilation below 10.56 GeV

TTP07-16 Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^+e^-$ annihilation below 10.56 GeV

TTP07-16 Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^+e^-$ annihilation below 10.56 GeV

Using recent CLEO III results for the cross section for $e^+e^- \to {\rm hadrons}$ at seven center-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 by more than one standard deviation 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, respectively.

Johann H. K\“uhn, Matthias Steinhauser, Thomas Teubner
Phys.Rev. D76 074003 2007
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