Measurements of branching fraction and direct $CP$ asymmetry in $B^{\pm }\to K_S^0{K}_S^0{K}^{\pm }$ and a search for $B^{\pm }\to K_S^0{K}_S^0\ddot{I}{€}^{\pm }$

Abstract

We study charmless hadronic decays of charged $B$ mesons to the final states $K_S^0{K}_S^0{K}^{\pm }$ and $K_S^0{K}_S^0\ddot{I}{€}^{\pm }$ using a $711f{b}^{-1}$ data sample that contains $772\times 10^6$ $B\bar{B}$ pairs, and was collected at the $\hat{I}\yen (4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. For $B^{\pm }\to K_S^0{K}_S^0{K}^{\pm }$, the measured branching fraction and direct $CP$ asymmetry are $[10.42\pm 0.43(stat)\pm 0.22(syst)]\times 10^{-6}$ and [$+1.6\pm 3.9(stat)\pm 0.9(syst)$]%, respectively. In the absence of a statistically significant signal for $B^{\pm }\to K_S^0{K}_S^0\ddot{I}{€}^{\pm }$, we obtain a 90% confidence-level upper limit on its branching fraction as $8.7\times 10^{-7}$.