Measurements of the branching fractions of $\Xi_c^0 \to \Lambda K_S^0$, $\Xi_c^0 \to \Sigma^0 K_S^0$, and $\Xi_c^0 \to \Sigma^+ K^-$ decays at Belle.

Using the entire data sample of 980~fb$^{-1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider, we present measurements of the branching fractions of the Cabibbo-favored decays $\Xi_c^0 \to \Lambda K_S^0$, $\Xi_c^0 \to \Sigma^0 K_S^0$, and $\Xi_c^0 \to \Sigma^+ K^-$. Taking the decay $\Xi_c^0 \to \Xi^- \pi^+$ as the normalization mode, we measure the branching fraction ratio ${\cal B}(\Xi_c^0 \to \Lambda K_S^0)/{\cal B}(\Xi_c^0 \to \Xi^- \pi^+) = 0.229\pm0.008\pm0.012$ with improved precision, and measure the branching fraction ratios ${\cal B}(\Xi_c^0 \to \Sigma^0 K_S^0)/{\cal B}(\Xi_c^0 \to \Xi^- \pi^+) = 0.038\pm0.006\pm0.004$ and ${\cal B}(\Xi_c^0 \to \Sigma^+ K^-)/{\cal B}(\Xi_c^0 \to \Xi^- \pi^+) = 0.123\pm0.007\pm0.010$ for the first time. Taking into account the previously measured branching fraction ${\cal B}(\Xi_c^0 \to \Xi^- \pi^+) = (1.80\pm0.52)\%$, the absolute branching fractions are determined to be ${\cal B}(\Xi_c^0 \to \Lambda K_S^0) = (4.12\pm 0.14\pm0.21\pm1.19) \times 10^{-3}$, ${\cal B}(\Xi_c^0 \to \Sigma^0 K_S^0) = (0.69\pm 0.10\pm 0.08\pm 0.20) \times 10^{-3}$, and ${\cal B}(\Xi_c^0 \to \Sigma^+ K^-) = (2.21\pm 0.13\pm0.19\pm 0.64) \times 10^{-3}$. The first and second uncertainties above are statistical and systematic, respectively, while the third ones arise from the uncertainty of the branching fraction of $\Xi_c^0 \to \Xi^- \pi^+$.