Quantum-correlated measurements of $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ and consequences for the determination of $\gamma$

Abstract

Quantum-correlated measurements of the decay $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ are performed using a data sample corresponding to an integrated luminosity of 818 pb${}^{-1}$ collected at the $\psi (3770)$ resonance by the CLEO-c detector. Preliminary results are presented for the $CP$-even fraction $F_{+}$ and the strong-phase differences of this decay. The value of $F_{+}$ is measured to be 0.246 $\pm$ 0.018. The strong-phase differences are measured in different regions of $K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ phase space by binning around the intermediate resonances present. The potential sensitivity of the results for determining the CKM angle $\gamma$ from $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decay using the data collected by the Belle detector is also shown.

CKM 2016 Proceedings