Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-09-06
Nucl.Phys.Proc.Suppl. 115 (2003) 82-84
Physics
High Energy Physics
High Energy Physics - Phenomenology
3 pages, latex using espcrc2.sty. Write-up of talk given at BEACH 2002, UBC, Vancouver
Scientific paper
10.1016/S0920-5632(02)01958-8
Renormalization Group (RG) and optimized Pade-approximant methods are used to estimate the three-loop perturbative contributions to the inclusive semileptonic b \to u and b \to c decay rates. It is noted that the \bar{MS} scheme works favorably in the b \to u case whereas the pole mass scheme shows better convergence in the b \to c case. Upon the inclusion of the estimated three-loop contribution, we find the full perturbative decay rate to be 192\pi^3\Gamma(b\to u\bar\nu_\ell\ell^-)/(G_F^2| V_{ub}|^2) = 2065 \pm 290{\rm GeV^5} and 192\pi^3\Gamma(b\to c\ell^-\bar\nu_\ell)/(G_F^2|V_{cb}|^2)= 992 \pm 198 {\rm GeV^5}, respectively. The errors are 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).
Ahmady Mohammad R.
Chishtie Farrukh A.
Elias Victor
Fariborz Amir H.
McKeon Dennis G. C.
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