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.

22 PAGES, 8 figures, 13 tables

References in corpus (13)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• 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
• Measurement of the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ decays with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$
• Erratum to "Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section between 600 and 900 MeV using initial state radiation"
• Measurement of the integrated luminosity of the data collected at 3.773 GeV by BESIII from 2021 to 2024
• Determining the unitarity triangle angle $\gamma$ with a four-body amplitude analysis of ${\mathrm{B}}^{\pm }\to ({\mathrm{K}}^{+}{\mathrm{K}}^{-}{\pi }^{+}{\pi }^{-}{)}_{\mathrm{D}}{\mathrm{K}}^{\pm }$ decays
• Improved model-independent determination of the strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{\mathrm{S},\mathrm{L}}^0{K}^{+}{K}^{-}$ decays
• Improved measurement of the strong-phase difference ${\delta }_D^{K\pi }$ in quantum-correlated $D\bar{D}$ 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
• A study of $CP$ violation in the decays $B^{\pm }\to [K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ ($h=K,\pi$) and $B^{\pm }\to [{\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$
• Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$
• Determination of the $CP$-even fraction of $D^0\to K_S^0{\pi }^{+}{\pi }^{-}{\pi }^0$