CKM matrix from non-leptonic B-decays

Abstract

We analyze the impact of the forthcoming CP-violating observables in the $B_s\to K^{+}{K}^{-}$ system, combined with the precise measurement of $\sin 2\beta$ , in the extraction of the CKM matrix. Computing the penguin parameters $(r,\theta )$ within QCD factorization yields a precise determination of $(\bar{\rho },\bar{\eta })$, reflected by a weak dependence on $\theta$, which is shown to be a second order effect. Using the SU(3)-flavour symmetry argument and the current $B$-factories data provided by the $B_d\to {\pi }^{+}{\pi }^{-}$ modes, we complement the $B_s\to K^{+}{K}^{-}$ CP-violating observables in a variety of ways, in particular we find that $S_{KK}>0$. Finally, we investigate systematically the SU(3)-symmetry breaking factor within QCD factorization.

Comments: 4 pages; 4 figures (requires epsfig, psfrag); To appear in the proceedings of 32nd International Conference on High-Energy Physics (ICHEP 04), Beijing, China, 16-22 Aug 2004