Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space

Abstract

A first determination of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ is performed using $e^{+}{e}^{-}\to \psi (3770)\to D\bar{D}$ data collected by the BESIII detector corresponding to an integrated luminosity of $20.3$ fb${}^{-1}$. The measurements are made in four pairs of bins in phase space, which are chosen to provide optimal sensitivity to the angle $\gamma$ of the Unitarity Triangle in $B^{\pm }\to D{K}^{\pm }$ decays. From these measurements, it follows that the $CP$-even fraction of the decay is $F_{+}=0.754\pm 0.010_{stat.}\pm 0.008_{syst.}$. In addition, the branching fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ is measured to be $(2.863\pm 0.028_{stat.}\pm 0.045_{syst.})\times 10^{-3}$, which is twice as precise as previous results obtained at other experiments.

arXiv comment22 PAGES, 8 figures, 13 tables

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• First measurement of the CKM angle ${\varphi }_3$ with $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decays
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• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$
• Determination of the $CP$-even fraction of $D^0\to K_S^0{\pi }^{+}{\pi }^{-}{\pi }^0$