Coulomb resummation for b b system near threshold and precision determination of s and mb.
Abstract
We analyze sum rules for the system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We find for the pole mass of the bottom quark mb=4.75 0.04 GeV and for the strong coupling constant s(MZ)=0.118 0.006. The origin of the contradiction between two recent estimates obtained within the same formal framework is clarified.
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