Jh. Kuhn et al., COULOMB RESUMMATION FOR B(B)OVER-BAR SYSTEM NEAR-THRESHOLD AND PRECISION DETERMINATION OF ALPHA(S) AND M(B), Nuclear physics. B, 534(1-2), 1998, pp. 356-370
We analyze sum rules for the Upsilon system with resummation of thresh
old effects on the basis of the non-relativistic Coulomb approximation
. We find for the pole mass of the bottom quark m(b) = 4.75 +/- 0.04 G
eV and for the strong coupling constant alpha(s) (M-z) = 0.118 +/- 0.0
06. The origin of the contradiction between two recent estimates obtai
ned within the same formal framework is clarified. (C) 1998 Published
by Elsevier Science B.V.