$K_S^0-K_L^0$ 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.

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