$K_S^0-K_L^0$ asymmetries in $D$-meson decays

Abstract

The $K_S^0-K_L^0$ asymmetries in the $D$ meson decays, induced by the interference between the Cabibbo-favored and the doubly Cabibbo-suppressed amplitudes, can help to understand the dynamics of charm decays. All possible processes of two-body non-leptonic $D$ decays into one neutral kaon and another pseudoscalar or vector meson are considered. We study the $K_S^0-K_L^0$ asymmetries and the branching fractions of corresponding processes in the factorization-assisted topological-amplitude approach in which significant flavor $SU(3)$ symmetry breaking effects are included. The branching fractions of $K_L^0$ modes are predicted. It is first found that the $K_S^0-K_L^0$ asymmetries in the $D^0$-meson decays are shifted by the $D^0-{\overline{D}}^0$ mixing parameter $y_D\simeq 0.006$, to be $0.113\pm 0.001$ for all the relevant $D^0$ decay modes. Our results on $K_S^0-K_L^0$ asymmetries are consistent with the current data and could be tested by experiments in the future.

19 pages, 1 figure. Published version in Physics Review D

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• Asymmetries from the interference between Cabibbo-favored and doubly-Cabibbo-suppressed D decays

Cited by in corpus (13)

• On $SU(3{)}_F$ Breaking through Final State Interactions and CP Asymmetries in $D\to PP$ Decays
• Charmed baryon decays in $SU(3{)}_F$ symmetry
• $CP$ asymmetries in charm decays into neutral kaons
• Diagrammatic analysis of hidden- and open-charm tetraquark production in $B$ decays
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Study of the Decays $D_s^{+}\to K_S^0{K}^{+}$ and $K_L^0{K}^{+}$
• From topological amplitude to rescattering dynamics
• Measurements of Absolute Branching Fractions of $D^0\to K_L^0\varphi$, $K_L^0\eta$, $K_L^0\omega$, and $K_L^0{\eta }^{\prime }$
• Precise Measurements of Branching Fractions for $D_s^{+}$ Meson Decays to Two Pseudoscalar Mesons
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• Effect of $K^0-{\bar{K}}^0$ Mixing on CP and CPT Violations in $B_c^{\pm }\to B^{\pm }{K}_{S,L}^0$ 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
• Study of $\varphi \to K\bar{K}$ and $K_S^0-K_L^0$ Asymmetry in the Amplitude Analysis of $D_s^{+}\to K_S^0{K}_L^0{\pi }^{+}$ Decays