Possibility of Large Final State Interaction Phases in Light ofB→KπandππData

The newly observed ${\overline{B}}^0\to {\overline{K}}^0{\pi }^0$ mode is quite sizable while ${\pi }^{-}{\pi }^{+}$ is rather small. Data also hint at ${\pi }^{-}{\pi }^0\gtrsim {\pi }^{-}{\pi }^{+}$. Though consistent with zero, central values of $\mathrm{CP}$ violating asymmetries in $K^{-}{\pi }^{+,0\mathrm{}}$ and ${\overline{K}}^0{\pi }^{-}$ show an interesting pattern. Taking cue from these, we suggest that, besides $\gamma \equiv \arg \left(V_{\mathrm{ub}}^{*}\right)$ being large, the rescattering phase $\delta$ in $K\pi$ and $\pi \pi$ modes may be greater than $90°$. If this is true, not only the above trends can be accounted for, but one would also find ${\pi }^0{\pi }^0\sim {\pi }^{-}{\pi }^{+,0\mathrm{}}$, and the $\mathrm{CP}$ asymmetry in ${\overline{B}}^0$ vs $B^0\to {\pi }^{-}{\pi }^{+}$ could be as large as $-60\mathrm{}\%$. These results can be tested in a couple of years.