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Simulation studies are performed to assess the sensitivity of amodel-independent analysis of the flavour-tagged decays $D^0 \to K^0_{\rmS}\pi^+\pi^-$ and $D^0 \to K^0_{\rm S}K^+K^-$ to mixing and CP violation. Theanalysis takes as input measurements of the $D$ decay strong-phase parametersthat are accessible in quantum-correlated $D-\bar{D}$ pairs produced at the$\psi(3770)$ resonance. It is shown that the model-independent approach is wellsuited to the very large data sets expected at an upgraded LHCb experiment, orfuture high luminosity $e^+e^-$ facility, and that with 100M $K^0_{\rmS}\pi^+\pi^-$ decays a statistical precision of around 0.01 and $0.7^\circ$ isachievable on the CP violation parameters $r_{CP}$ and $a_{CP}$, respectively.Even with this very large sample the systematic uncertainties associated withthe strong-phase parameters will not be limiting, assuming that full use ismade of the available $\psi(3770)$ data sets of CLEO-c and BES-III.Furthermore, it is demonstrated that large flavour-tagged samples canthemselves be exploited to provide information on the strong-phase parameters,a feature that will be beneficial in the measurement of the CKM angle$\gamma/\phi_3$ with $B^- \to DK^-$ decays.

Model-independent $D^0-\bar{D^0}$ mixing and CP violation studies with $D^0 \to K^0_{\rm S}\pi^+\pi^-$ and $D^0 \to K^0_{\rm S}K^+K^-$