Determination of $M_b$ and ${\alpha }_s$ from the Upsilon System

Abstract

The mass of the bottom quark (both the pole mass $M_b$ and the $\MSb$ mass $m_b$) and the strong coupling constant ${\alpha }_s$ have been determined from QCD moment sum rules for the ${\rm Y}$ system. In the pole-mass scheme large perturbative corrections resulting from coulombic contributions have been resummed. The results of this analysis are: $M_b=4.60 \pm 0.02 \gev$, $m_b(m_b)=4.13 \pm 0.06 \gev$ and ${\alpha }_s(M_Z)=0.119\pm 0.008$.

5 pages, 1 Postscript figure Invited talk at the High Energy Conference on Quantum Chromodynamics (QCD'97), Montpellier, July 1997

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