Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$

Abstract

We report the most precise measurements to date of the strong-phase parameters between $D^0$ and ${\bar{D}}^0$ decays to $K_{S,L}^0{\pi }^{+}{\pi }^{-}$ using a sample of 2.93 fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider. Our results provide the key inputs for a binned model-independent determination of the Cabibbo-Kobayashi-Maskawa angle $\gamma /{\varphi }_3$ with $B$ decays. Using our results, the decay model sensitivity to the $\gamma /{\varphi }_3$ measurement is expected to be between 0.7${}^{\circ }$ and 1.2${}^{\circ }$, approximately a factor of three smaller than that achievable with previous measurements. The improved precision of this work ensures that measurements of $\gamma /{\varphi }_3$ will not be limited by knowledge of strong phases for the next decade. Furthermore, our results provide critical input for other flavor-physics investigations, including charm mixing, other measurements of $CP$ violation, and the measurement of strong-phase parameters for other $D$-decay modes.

arXiv comment7 pages, 3 figures

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