Fourth GenerationCPViolation Effects onB→Kπ,φK, andρKin Next-to-Leading-Order Perturbative QCD

We study the effect from a sequential fourth generation quark on penguin-dominated two-body nonleptonic $B$ meson decays in the next-to-leading order perturbative QCD formalism. With an enhancement of the color-suppressed tree amplitude and possibility of a new $CP$ phase in the electroweak penguin amplitude, we can account better for $A_{CP}(B^0\to K^{+}{\pi }^{-})-A_{CP}(B^{+}\to K^{+}{\pi }^0)$. Taking $|V_{t^{\prime }s}{V}_{t^{\prime }b}|\sim 0.02$ with a phase just below 90°, which is consistent with the $b\to s{\ell }^{+}{\ell }^{-}$ rate and the $B_s$ mixing parameter $\Delta m_{B_s}$, we find a downward shift in the mixing-induced $CP$ asymmetries of $B^0\to K_S{\pi }^0$ and $\varphi K_S$. The predicted behavior for $B^0\to {\rho }^0{K}_S$ is opposite.