Model-independent $D^0-\overline{D^0}$ mixing and CP violation studies with $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$

Abstract

Simulation studies are performed to assess the sensitivity of a model-independent analysis of the flavour-tagged decays $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$ to mixing and CP violation. The analysis takes as input measurements of the $D$ decay strong-phase parameters that are accessible in quantum-correlated $D-\bar{D}$ pairs produced at the $\psi (3770)$ resonance. It is shown that the model-independent approach is well suited to the very large data sets expected at an upgraded LHCb experiment, or future high luminosity $e^{+}{e}^{-}$ facility, and that with 100M $K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ decays a statistical precision of around 0.01 and $0.7^{\circ }$ is achievable on the CP violation parameters $r_{CP}$ and $a_{CP}$, respectively. Even with this very large sample the systematic uncertainties associated with the strong-phase parameters will not be limiting, assuming that full use is made of the available $\psi (3770)$ data sets of CLEO-c and BES-III. Furthermore, it is demonstrated that large flavour-tagged samples can themselves be exploited to provide information on the strong-phase parameters, a feature that will be beneficial in the measurement of the CKM angle $\gamma /{\varphi }_3$ with $B^{-}\to D{K}^{-}$ decays.

19 pages, 3 figures. New version fixes typos and incorrect references after journal acceptance

References in corpus (3)

• Physics at Super B Factory
• Measurement of the difference of CP-violating asymmetries in D0 -> K+K- and D0 ->pi+pi- decays at CDF
• Evidence for direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B-+ --> D(*) K(*)-+ decays

Cited by in corpus (12)

• Measurement of the mass difference between neutral charm-meson eigenstates
• 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 $\gamma /{\varphi }_3$
• 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
• CP violation and material interaction of neutral kaons in measurements of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ decays where $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$
• Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes
• Model-independent measurement of charm mixing parameters in $\bar{B}\to D^0(\to K_S^0{\pi }^{+}{\pi }^{-}){\mu }^{-}{\bar{\nu }}_{\mu }X$ decays
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• Origins of the method to determine the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$, $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ decays
• Model-independent measurement of $D^0$-$\overline{D}{}^0$ mixing parameters in $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decays at Belle and Belle II
• CKM studies in the charm sector