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

Abstract

We perform quantum-correlated measurements of the decay $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ using a data sample corresponding to an integrated luminosity of 0.82 fb${}^{-1}$ collected at the $\psi (3770)$ resonance by the CLEO-c detector. The value of the $CP$-even fraction $F_{+}$ is determined to be 0.238 $\pm$ 0.012 $\pm$ 0.012. The strong-phase differences are also 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 $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decays is also discussed.

References in corpus (3)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• First determination of the $CP$ content of $D\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and updated determination of the $CP$ contents of $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K^{+}{K}^{-}{\pi }^0$
• First determination of the CP content of D->pi+pi-pi0 and D->K+K-pi0

Cited by in corpus (11)

• Model-independent determination of the relative strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$ and its impact on the measurement of the CKM angle $\gamma /{\varphi }_3$
• Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$
• Novel method for measuring charm-mixing parameters using multibody decays
• Measurement of the $D\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D\to K^{-}{\pi }^{+}{\pi }^0$ coherence factors and average strong-phase differences in quantum-correlated $D\bar{D}$ decays
• CP violation and material interaction of neutral kaons in measurements of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ decays where $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$
• First measurement of the CKM angle ${\varphi }_3$ with $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decays
• Measurement of the $CP$-even fraction of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$
• Determination of the $CP$-even fraction of $D^0\to K_S^0{\pi }^{+}{\pi }^{-}{\pi }^0$
• Novel correlated $D^0\overline{D}{}^0$ systems for $c/b$ physics and tests of $T/CPT$
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space