Padé/renormalization-group improvement of inclusive semileptonic b decay rates
Ahmady, M.R. Christie, F.A. Elias, V. Fariborz, A.H. McKeon, D.G.C. Sherry, T.N. Steele, T.G.
Ahmady, M.R.
Christie, F.A.
Elias, V.
Fariborz, A.H.
McKeon, D.G.C.
Sherry, T.N.
Steele, T.G.
Citation
Ahmady, M.R. Christie, F.A.; Elias, V.; Fariborz, A.H.; McKeon, D.G.C.; Sherry, T.N.; Steele, T.G. (2003). Padé/renormalization-group improvement of inclusive semileptonic b decay rates. Nuclear Physics B - Proceedings Supplements 115 , 82-84
Abstract
Renormalization Group (RG) and optimized Pade-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b --> u and b --> c decay rates. It is noted that the (MS) over bar scheme works favorably in the b --> u case whereas the pole mass scheme shows better convergence in the b --> c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192pi3 Gamma(b --> uv(l)l(-))/(G(F)(2)\V-ubc\(2)) = 2065 +/- 290GeV(5) and 192 pi(3) Gamma(b --> cl(-)v(l))/(G(F)(2) \V-cb\(2)) = 992 +/- 198GeV(5), respectively. The errors axe inclusive of theoretical uncertainties and non-perturbative effects. Ultimately, these perturbative contributions reduce the theoretical uncertainty in the extraction of the CKM matrix elements \V-ub\ and \V-cb\ from their respective measured inclusive semileptonic branching ratio(s).
Funder
Publisher
Elsevier BV
Publisher DOI
10.1016/s0920-5632(02)01958-8
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland