TTP98-01 Coulomb resummation for b{\bar b} system near threshold and precision determination of \alpha_s and m_b.

TTP98-01 Coulomb resummation for b{\bar b} system near threshold and precision determination of \alpha_s and m_b.

TTP98-01 Coulomb resummation for b{\bar b} system near threshold and precision determination of \alpha_s and m_b.

We analyze sum rules for the \Upsilon system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We found the pole mass of the bottom quark m_b=4.75 \pm 0.04 GeV and the strong coupling constant \alpha_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.

J.H. K\“uhn, A.A. Penin and A.A. Pivovarov
Nucl. Phys. B 534 356-370 1998
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