PRECISION DETERMINATION OF ALPHA(S) AND M(B) FROM QCD SUM-RULES FOR B(B)OVER-BAR

The QCD sum rules for moments of the production cross section of b (b) over bar states in e(+) e(-) annihilation are extremely sensitive to the values of m(b) and alpha(s) for moments of large order n. This enables one to extract from the existing data on Upsilon resonances the values of these parameters with a high precision by using a nonrelativistic expansion in 1/n. It is found that the sum rules fit the data with alpha(s)(<(MS)over bar>)(1 GeV) = 0.336+/-0.011 and m(b) = 4827+/-7 MeV, where the estimate of the errors includes the theoretical uncertainty due to subleading-in-1/n terms and the experimental uncertainty of the e(+) e(-) annihilation cross section above the B (B) over bar threshold. The found value of alpha(s), when evolved in two loops up to the Z mass, gives alpha(s)(<(MS)over bar>)(M(Z)) = 0.109 +/- 0.001. The b quark mass m(b) corresponds to the ''on-shell'' value appropriate for one-loop perturbative calculations.