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.

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

References in corpus (5)

• Study of CP violation in Dalitz-plot analyses of B0 --> K+K-KS, B+ --> K+K-K+, and B+ --> KSKSK+
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• Amplitude analysis and measurement of the time-dependent CP asymmetry of $B^0\to K_0^S{K}_0^S{K}_0^S$ decays
• Measuring gamma with B -> K pi pi and B -> K K Kbar Decays
• Measurement of gamma using B -> K pi pi and B -> K K Kbar decays

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