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

Abstract

The decays $D\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D\to K^{-}{\pi }^{+}{\pi }^0$ are studied in a sample of quantum-correlated $D\bar{D}$ pairs produced through the process $e^{+}{e}^{-}\to \psi (3770)\to D\bar{D}$, exploiting a data set collected by the BESIII experiment that corresponds to an integrated luminosity of 2.93 fb${}^{-1}$. Here $D$ indicates a quantum superposition of a $D^0$ and a ${\bar{D}}^0$ meson. By reconstructing one neutral charm meson in a signal decay, and the other in the same or a different final state, observables are measured that contain information on the coherence factors and average strong-phase differences of each of the signal modes. These parameters are critical inputs in the measurement of the angle $\gamma$ of the Unitarity Triangle in $B^{-}\to D{K}^{-}$ decays at the LHCb and Belle II experiments. The coherence factors are determined to be $R_{K3\pi }=0.52_{-0.10}^{+0.12}$ and $R_{K\pi {\pi }^0}=0.78\pm 0.04$, with values for the average strong-phase differences that are ${\delta }_D^{K3\pi }={\left(167_{-19}^{+31}\right)}^{\circ }$ and ${\delta }_D^{K\pi {\pi }^0}={\left(196_{-15}^{+14}\right)}^{\circ }$, where the uncertainties include both statistical and systematic contributions. The analysis is re-performed in four bins of the phase-space of the $D\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ to yield results that will allow for a more sensitive measurement of $\gamma$ with this mode, to which the BESIII inputs will contribute an uncertainty of around 6${}^{\circ }$.

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• 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 (9)

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• Measurement of the $CP$-even fraction of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Measurements of Absolute Branching Fractions of $D^0\to K_L^0\varphi$, $K_L^0\eta$, $K_L^0\omega$, and $K_L^0{\eta }^{\prime }$
• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$
• Measurements of the absolute branching fractions of hadronic $D$-meson decays involving kaons and pions
• First observation of quantum correlations in $e^{+}{e}^{-}\to XD\bar{D}$ and $C$-even constrained $D\bar{D}$ pairs
• Charming synergies: the role of charm-threshold studies in the search for physics beyond the Standard Model
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space