Reducing the Theoretical Uncertainty in Extracting |V_{ub}| from the Inclusive Semileptonic b to u Decay Rate

Details Reducing the Theoretical Uncertainty in Extracting |V_{ub}| from the Inclusive Semileptonic b to u Decay Rate Reducing the Theoretical Uncertainty in Extracting |V_{ub}| from the Inclusive Semileptonic b to u Decay Rate

2000-08-16

arxiv.org/abs/hep-ph/0008175v1

AIP Conf.Proc. 541 (2000) 51-59

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 9 pages, Proceedings article for MRST 2000, University of Rochester

Scientific paper

10.1063/1.1328901

Utilizing asymptotic Pade-approximant methods, we estimate the three-loop order 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 the coefficient of the k = 0 term, all other coefficients may also be obtained via renormalization-group (RG) methods. The relative errors in asymptotic Pade-approximant estimates of the k = {1,2,3} terms are found to be 5.1% or less, thereby providing an estimate of the theoretical uncertainty in the asymptotic Pade-approximant estimate of the RG-inaccessible k = 0 term. By a judicious choice in the renormalization scale parameter, we are able to extract |V_{ub}| from the inclusive decay rate to within 7% theoretical uncertainty.

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