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We discuss the determination of the CKM parameters from the forthcoming $CP$violation observables in $B_s \to K^+ K^-$ decays. Combining the information onmixing induced CP violation in $B_s \to K^+ K^-$, with the $B_d \to J/\psi K_s$precision observable $\sin 2\beta$ and the $B^0_s$--$\bar{B^0_s}$ mixing phase$\phi_s$, we propose a determination of the unitarity triangle $(\bar\rho,\bar\eta)$. Computing the penguin parameters $(r, \theta)$ within QCDfactorization yield precise determination of $(\bar\rho, \bar\eta)$, reflectedby a weak dependence on the $\theta$ which is shown as a second order effect.The impact of the direct CP violation observable $C_{KK}$ on the penguinparameters are investigated and a lower bound on $C_{KK}$ is extracted. We alsodiscuss the effect of the $B^0_s$--$\bar{B^0_s}$ new physics mixing phase onthe penguin parameters $(r, \theta)$ and $S_{KK}$. Using the SU(3)-flavoursymmetry 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-violatingobservables in a variety of ways, in particular we find that $S_{KK}>0$.Finally we analyze systematically the SU(3)-symmetry breaking factor within QCDfactorization.Comment: 22 pages, 6 figures, typos corrected, reference and some remarks  adde

Exploring the Unitarity Triangle through CP violation observables inBs K K

Exploring the Unitarity Triangle through CP violation observables inB_s KK