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Utilizing asymptotic Pade-approximant methods, we estimate the three-looporder MS-bar coefficients of alpha_s^3[\log(\mu^2/m^2_b(\mu)]^k terms [k ={0,1,2,3}] within the $b \to u\ell^-\bar{\nu}_\ell$ decay rate. Except for thecoefficient of the k = 0 term, all other coefficients may also be obtained viarenormalization-group (RG) methods. The relative errors in asymptoticPade-approximant estimates of the k = {1,2,3} terms are found to be 5.1% orless, thereby providing an estimate of the theoretical uncertainty in theasymptotic Pade-approximant estimate of the RG-inaccessible k = 0 term. By ajudicious choice in the renormalization scale parameter, we are able to extract|V_{ub}| from the inclusive decay rate to within 7% theoretical uncertainty.Comment: LaTeX, 9 pages, Proceedings article for MRST 2000, University of  Rocheste

Reducing the theoretical uncertainty in extracting ∣V[sub ub]∣ from the inclusive B→X[sub u]l[sup −]ν̄[sub l] decay rate