Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-03-10
Phys.Rev.Lett. 76 (1996) 4124-4127
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, Revtex, one figure included
Scientific paper
10.1103/PhysRevLett.76.4124
Complete two-loop QCD corrections to $b\to c$ transitions are presented in the limit of zero recoil. Vector and axial-vector coefficients $\eta_{A,V}$ are calculated analytically in the limit of equal beauty and charm masses, and a series appoximation is obtained for the general mass case. $\eta_A$ is crucial for the determination of the absolute value of the Cabibbo-Kobayashi-Maskawa matrix element $V_{cb}$. The two-loop effects enhance the one-loop corrections by 21\%, removing a major theoretical uncertainty in the value of $|V_{cb}|$. Including two-loop QCD effects and previously neglected electroweak and Coulomb corrections we find $|V_{cb}| = 0.0379 \pm 0.0020({\rm stat}) \pm 0.0025({\rm syst}) \pm 0.0011({\rm theory})$.
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