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 ena bles one to extract from the existing data on Upsilon resonances the v alues of these parameters with a high precision by using a nonrelativi stic expansion in 1/n. It is found that the sum rules fit the data wit h 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 uncerta inty due to subleading-in-1/n terms and the experimental uncertainty o f the e(+) e(-) annihilation cross section above the B (B) over bar th reshold. 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. Th e b quark mass m(b) corresponds to the ''on-shell'' value appropriate for one-loop perturbative calculations.