Search for the semileptonic decays $Ξ_c^0 \to Ξ^0\ell^+\ell^-$ at Belle
Using the full data sample of 980 $\mathrm{fb}^{-1}$ collected with the Belle detector at the KEKB asymmetric energy electron-positron collider, we report the results of the first search for the rare semileptonic decays $Ξ_c^0 \to Ξ^0\ell^+\ell^-$ ($\ell=e$ or $μ)$. No significant signals are observed in the $Ξ^0\ell^+\ell^-$ invariant-mass distributions. Taking the decay $Ξ_c^0 \to Ξ^- π^+$ as the normalization mode, we report 90\% credibility upper limits on the branching fraction ratios ${\cal{B}} (Ξ_c^0 \to Ξ^0 e^+ e^-) / {\cal{B}}(Ξ_c^0\to Ξ^-π^+) < 6.7 \times 10^{-3}$ and ${\cal{B}} (Ξ_c^0 \to Ξ^0 μ^+ μ^-) / {\cal{B}}(Ξ_c^0\to Ξ^-π^+) < 4.3 \times 10^{-3}$ based on the phase-space assumption for signal decays. The 90\% credibility upper limits on the absolute branching fractions of ${\cal{B}} (Ξ_c^0 \to Ξ^0 e^+ e^-)$ and ${\cal{B}} (Ξ_c^0 \to Ξ^0 μ^+ μ^-)$ are found to be $9.9 \times 10^{-5}$ and $6.5 \times 10^{-5}$, respectively.