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  • Measurement of the $C\!P$-even fraction of $D^{0}\to\pi^{+}\pi^{-}\pi^{+}\pi^{-}
    Ablikim, M; Achasov, M. N; An, M. R; Bai, Y; Bertani, M; Bettoni, D; Bianchi, F; Bloms, J; Bortone, A; Briere, R. A; Cao, G. F; Cetin, S. A; Chen, C; Chen, S. M; Chen, X. R; Cheng, W. S; Choi, S. K; Denysenko, I; Feng, C. Q; Ge, P. T; Geng, C; He, K. L; Herold, C; Jiang, X. S; Jiang, Y; Jiao, J. B; Li, Cheng; Li, F; Li, H. B; Li, H. N; Li, J. S; Li, Ke; Li, L. K; Li, M. H; Li, Xiaoyu; Liang, Y. T; Liu, F. H; Liu, Feng; Liu, H. M; Liu, J. L; Liu, K. Y; Liu, P. L; Liu, Y. B; Liu, Z. A; Lu, F. X; Luo, M. X; Luo, X. L; Ma, H. L; Ma, L. L; Ma, R. Q; Malik, Q. A; Mangoni, A; Min, T. J; Mo, X. H; Pan, Y; Plura, S; Pogodin, S; Qi, F. Z; Qi, H; Rodin, V; Sang, H. S; Shan, W; Shen, C. P; Shen, X. Y; Shi, B. A; Shi, J. Y; Shi, q. q; Stieler, F; Sun, Y. J; Tang, C. J; Tao, L. Y; Teng, J. X; Wang, M. Z; Wang, W; Wang, Y. D; Wang, Y. F; White, D. J; Wollenberg, L; Wu, L. J; Wu, X. H; Xiao, H; Xie, C; Xu, G. F; Xu, H. Y; Xu, Q. J; Xu, Y. C; Yan, L; Yu, X. D; Zhang, B. L; Zhang, D. H; Zhang, J. L; Zhang, Lei; Zhang, Shuihan; Zhang, Z. Y; Zhao, G; Zhao, Ling; Zhao, S. J; Zheng, Y. H; Zhu, L. X; Zhu, T. J

    arXiv (Cornell University), 08/2022
    Journal Article

    Phys. Rev. D 106, 092004 (2022) A measurement of the $C\!P$-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 $\textrm{fb}^{-1}$. Using a combination of $C\!P$ eigenstates, $D \to \pi^+\pi^-\pi^0$ and $D \to K_{S,L}^0\pi^{+}\pi^{-}$ as tagging modes, the $C\!P$-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 $C\!P$ violation and mixing in the $D^{0}$-$\bar{D}^{0}$ system.

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