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

Abstract

A measurement of the $CP$-even fraction of the decay $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ is performed with a quantum-correlated $\psi (3770)\to D\bar{D}$ data sample collected by the BESIII experiment, corresponding to an integrated luminosity of 2.93 ${\text{fb}}^{-1}$. Using a combination of $CP$ eigenstates, $D\to {\pi }^{+}{\pi }^{-}{\pi }^0$ and $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$ as tagging modes, the $CP$-even fraction is measured to be $F_{+}^{4\pi }=0.735\pm 0.015\pm 0.005$, where the first uncertainty is statistical and the second is systematic. This is the most precise determination of this quantity to date. It provides valuable model-independent input for the measurement of the CKM angle $\gamma$ with $B^{\pm }\to D{K}^{\pm }$ decays, and for time-dependent studies of $CP$ violation and mixing in the $D^0$-${\bar{D}}^0$ system.

15 pages, 4 figures

References in corpus (10)

• Evidence for direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B-+ --> D(*) K(*)-+ decays
• 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 $D\to K^{+}{K}^{-}{\pi }^0$
• 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 $\gamma /{\varphi }_3$
• Measurement of the $D\to K^{-}{\pi }^{+}$ strong phase difference in $\psi (3770)\to D^0\overline{D}{}^0$
• First determination of the CP content of D->pi+pi-pi0 and D->K+K-pi0
• Mixing and $CP$ violation in the charm system
• Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$
• 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
• 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
• Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes

Cited by in corpus (3)

• 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 $T/CPT$