Probing New Physics in $B_s$ and $D$ mixings, and $A_{\mathrm{CP}}(B^{+}\to J/\psi K^{+})$

Abstract

A 4th generation could be consistent with the recently measured $\Delta m_{B_s}$ as well as $\mathcal{B}(b\to s{\ell }^{+}{\ell }^{-})$, which are SM-like, but generate large $\sin 2{\Phi }_{B_s}\simeq -0.5$ to -0.7. The sign is determined by the hint for New Physics in CPV measurements in charmless B decays. The $4\times 4$ unitarity allows one to connect to all processes involving flavor. Fixing $V_{t^{\prime }b}$, $V_{t^{\prime }s}$ and $V_{t^{\prime }d}$ by $Z\to b\bar{b}$, $b\to s$ and $s\to d$ processes, we predict $D$ mixing to be close to the current bound. As a further corollary, we suggest that $A_{\mathrm{CP}}(B^{+}\to J/\psi K^{+})$ could be at 1% level or higher, where we give plausibility of an associated strong phase. Our predictions can be tested in the near future.

Comments: 4 pages, 5 figures, presented at ICHEP 2006