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We study the discovery prospect of different three body lepton numberviolating~(LNV) meson decays $M_{1}^{-}\to\ell_{1}^{-}\ell_{2}^{-}M_{2}^{+}$ inthe framework of right handed~(RH) neutrino extended Standard Model~(SM). Weconsider a number of ongoing experiments, such as, NA62 and LHCb at CERN, BelleII at SuperKEK, as well as at the proposed future experiments, SHiP, MATHUSLAand FCC-ee. The RH Majorana neutrino $N$ mediating these meson decays providesa resonant enhancement of the rates, if the mass of $N$ lies in the range$(100\, \text{MeV}-6\, \text{GeV})$. We consider the effect of parent mesonsvelocity, as well as, the effect of finite detector size. Using the expectedupper limits on the number of events for the LNV decay modes, $M_{1}^{-}\to\ell_1^{-}\ell_2^{-}\pi^{+}$~($M_{1}=B, B_c,D, D_{s}\,\text{and}\,K$), weanalyze the sensitivity reach of the mixing angles $|V_{e N}|^{2}$, $|V_{\muN}|^{2}$, $|V_{\tau N}|^{2}$, $|V_{e N}V_{\mu N}|$, $|V_{e N}V_{\tau N}|$ and$|V_{\mu N}V_{\tau N}|$ as a function of heavy neutrino mass $M_{N}$. We showthat, inclusion of parent meson velocity can account to a large difference foractive-sterile mixing, specially for $D$, $D_s$ meson decay at SHiP and $K$meson decay at NA62. Taking into account the velocity of the $D_s$ meson, thefuture beam dump experiment SHiP can probe $|V_{eN}|^2 \sim 10^{-9}$. For RHneutrino mass in between 2 - 5 GeV, MATHUSLA can provide best sensitivity reachof active-sterile mixings.

Sensitivity of Lepton Number Violating Meson Decays in Different Experiments