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

R. Pk, J.F. Libby, S. Malde, G. Wilkinson

in 9th International Workshop on the CKM Unitarity Triangle

Contribution: pdf


Quantum-correlated measurements of the decay $D^{0}~\to~K^{0}_{\rm S}\pi^{+}\pi^{-⁠}\pi^{0}$ are performed with 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 $K^{0}_{\rm S}\pi^{+}\pi^{-⁠}\pi^{0}$ phase space by binning around the intermediate resonances present. The potential sensitivity of the results for determining the CKM angle $\gamma$ from $B^{\pm}~\to~D(K^{0}_{\rm S}\pi^{+}\pi^{-}\pi^{0})K^{\pm}$ decays using data collected by the Belle detector is also shown.