Coulomb resummation for $b\bar{b}$ system near threshold and precision determination of $\al_s$ and $m_b$.

Abstract

We analyze sum rules for the ${\rm Y}$ system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We find for the pole mass of the bottom quark $m_b=4.75\pm 0.04GeV$ and for the strong coupling constant $\al_s(M_Z)=0.118\pm 0.006$. The origin of the contradiction between two recent estimates obtained within the same formal framework is clarified.

22 pages Latex, some misprints in the Appendix are corrected

References in corpus (1)

• Bottom quark mass and alpha_s from the Upsilon system

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