Measurement of the $CP$-even fraction of $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$

Abstract

A determination of the $CP$-even fraction $F_{+}$ in the decay $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ is presented. Using $2.93$ fb${}^{-1}$ of $e^{+}{e}^{-}\to \psi (3770)\to D\bar{D}$ data collected by the BESIII detector, one charm meson is reconstructed in the signal mode and the other in a $CP$ eigenstate or the decay $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$. Analysis of the relative rates of these double-tagged events yields the result $F_{+}=0.730\pm 0.037\pm 0.021$, where the first uncertainty is statistical and the second is systematic. This is the first model-independent measurement of $F_{+}$ in $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ decays.

13 pages, 5 figures

References in corpus (10)

• Future Physics Programme of BESIII
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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 $D\to K^{+}{K}^{-}{\pi }^0$
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• 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
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• Measurement of the $CP$-even fraction of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes

Cited by in corpus (1)

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