Institute for Theoretical Particle Physics (TTP)

TTP02-27 Determination of $\alpha_s$ and the charm and bottom quark masses from recent measurements of $R(s)$

TTP02-27 Determination of $\alpha_s$ and the charm and bottom quark masses from recent measurements of $R(s)$

TTP02-27 Determination of $\alpha_s$ and the charm and bottom quark masses from recent measurements of $R(s)$

Recent experimental data for the total cross section $\sigma(e^+e^-\to\mbox{hadrons})$ are compared with the up-to-date theoretical prediction of perturbative QCD for those energies where perturbation theory is reliable. This allows for a determination of the strong coupling $\alpha_s^{(4)}(5~\mbox{GeV})=0.235\pm0.047$. The precise data from the charm threshold region, when combined with the recent evaluation of moments with three loop accuracy, lead to a direct determination of the short distance $\overline{\rm MS}$ charm quark mass $m_c(m_c)=1.304(27)$. Applying the same approach to the bottom quark we obtain $m_b(m_b)=4.191(51)$~GeV.

J.H. K\“uhn and M. Steinhauser
Proceedings of ICHEP 2002, Elsevier Science B.V., Bentvelsen et al. Eds. 539-541 2002
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