Study ofBmeson decays to three-body charmless hadronic final states

We report results of a study of charmless B meson decays to three-body $K\pi \pi ,\mathrm{KK}\pi$ and $\mathrm{KKK}$ final states. Measurements of branching fractions for B decays to $K^{+\left(0\right)\mathrm{}}{\pi }^{+}{\pi }^{-},K^{+}{K}^{+}{K}^{-},K^0{K}^{+}{K}^{-},K^{+}{K}_S^0{K}_S^0$ and $K_S^0{K}_S^0{K}_S^0$ final states are presented. The decays $B^0\to K^0{K}^{+}{K}^{-},B^{+}\to K^{+}{K}_S^0{K}_S^0$ and $B^0\to K_S^0{K}_S^0{K}_S^0$ are observed for the first time. We also report evidence for $B^{+}\to K^{+}{K}^{-}{\pi }^{+}$ decay. For the three-body final states $K^0{K}^{+}{\pi }^{-},K_S^0{K}_S^0{\pi }^{+},K^{+}{K}^{+}{\pi }^{-}$ and $K^{-}{\pi }^{+}{\pi }^{+},$ 90% confidence level upper limits are reported. Finally, we discuss the possibility of using the three-body $B^0\to K_S^0{K}^{+}{K}^{-}$ decay for $\mathrm{CP}$ violation studies. The results are obtained with a 78 ${\mathrm{fb}}^{-1}$ data sample collected at the ${\rm Y}\mathrm{}\left(4S\right)\mathrm{}$ resonance by the Belle detector operating at the KEKB asymmetric energy