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We present, how a systematic study of $B \to D\ell N$ ($D \to K \ell N$)decays with $\ell=\mu,\tau$, at Belle II (BESIII) can provide unambiguoussignature of a heavy neutrino $N$ and/or constrain its mixing with activeneutrinos $\nu_\ell$, which is parameterized by $|U_{\ell N}|^2$. Ourconstraint on $|U_{\mu N}|^2$ that can be achieved from the full Belle II datais comparable with what can be obtained from the much larger data set of theupgraded LHCb. Additionally, our method offers better constraint on $|U_{\muN}|^2$ for mass of sterile neutrino $m_N < 2$ GeV. We can also probe the Diracand Majorana nature of $N$ by observing the sequential decay of $N$, includingsuppression from observation of a displaced vertex as well as helicity flip,for Majorana $N$.

Probing sterile neutrino in $B$ ($D$) meson decays at Belle II (BESIII)