Measurement of Time-dependent $CP$ Asymmetries in $B^0\to K_S^0\hat{I}\cdot {\hat{I}}^3$ Decays

Abstract

We report a measurement of time-dependent $CP$ violation parameters in $B^0\to K_S^0\hat{I}\cdot {\hat{I}}^3$ decays. The study is based on a data sample, containing $772\times 10^{6}B\bar{B}$ pairs, that was collected at the $\hat{I}\yen (4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. We obtain the $CP$ violation parameters of $\mathcal{S}=-1.32\pm 0.77(stat.)\pm 0.36(syst.)$ and $\mathcal{A}=-0.48\pm 0.41(stat.)\pm 0.07(syst.)$ for the invariant mass of the $K_S^0\hat{I}\cdot$ system up to 2.1 GeV/$c^2$.

18pages, 9figures. the version resubmitted to PRD