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

Abstract

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.

Comments: 9 pages, 2 figures, version accepted for publication in Physics Letters B