Extraction of the CP-violating phase $\gamma$ using $B\to K\pi \pi$ and $B\to KK\bar{K}$ decays

Using the B{\sc a}B{\sc ar}\ measurements of the Dalitz plots for $B^0 \to K^+\pi^0\pi^-$,$B^0 \to K^0\pi^+\pi^-$,$B^+ \to K^+\pi^+\pi^-$,$B^0 \to K^+ K^0 K^-$,and$B^0 \to K^0 K^0 {\bar K}^0$ decays, we demonstrate that it is possible to cleanly extract the weak phase $\gamma$. We find four possible solutions. Three of these – ${32}^{\circ }$, ${259}^{\circ }$, and ${315}^{\circ }$ – are in disagreement with the SM, while one – ${77}^{\circ }$ – is consistent with the SM. An advantage of this Dalitz-plot method is that one can obtain many independent measurements of $\gamma$, thereby reducing its statistical error. An accurate determination of the errors, however, requires detailed knowledge of the data.