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

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

1998-01-20

arxiv.org/abs/hep-ph/9801356v4

Nucl.Phys.B534:356-370,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages Latex, some misprints in the Appendix are corrected

Scientific paper

10.1016/S0550-3213(98)00607-5

We analyze sum rules for the $\Upsilon$ system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We find for the pole mass of the bottom quark $m_b=4.75\pm 0.04 GeV$ 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.

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