$D$ meson decays into neutral kaons involve both Cabibbo-favored and doubly Cabibbo-suppressed amplitudes as well as final-state kaon mixing, providing abundant sources of $CP$ violation. In this work, we analyze $CP$ asymmetries in the $D\to K_{S,L}^{0}P$ and $D\to K_{S,L}^{0}V$ decays, where $P$ and $V$ denote pseudoscalar and vector mesons, respectively. The formulas of the time-dependent and time-integrated $CP$ asymmetries in these modes are derived, in which the $D^0-{\overline{D}}^0$ mixing effects and the $K_L^0$ modes are considered for the first time. The hadronic parameters that determine $CP$ asymmetries are extracted by the global fit of branching fractions within the topological diagram approach. A significant result is that the tension between theoretical predictions and experimental data for the $K_S^0-K_L^0$ asymmetries in $D^0\to K_{S,L}^0\omega$ and $D^0\to K_{S,L}^0\varphi$ modes is mitigated. The $CP$-violating effects arising from the interference between Cabibbo-favored and doubly Cabibbo-suppressed amplitudes with neutral kaon mixing could reach to $\mathcal{O}({10}^{-3})$ order in the $D^{+}\to K_S^0{\pi }^{+}$, $D_s^{+}\to K_S^0{K}^{+}$, $D^0\to K_S^0{\rho }^0$, and $D^0\to K_S^0\varphi$ modes. The difference between the $CP$ asymmetries in the $D^{+}\to K_S^0{\pi }^{+}$ and $D_s^{+}\to K_S^0{K}^{+}$ modes will be available on LHCb and Belle II in the near future.

Close

PrevNext

Reuse & PermissionsView figure in article

• 
• 
• 
• 
• 

• Quark mixing
• Charmed mesons
• CP symmetry