Study of rare mesonic decays involving di-neutrinos in their final state

Abstract

We have carried out phenomenological implication of R-parity violating ($\text{NEG}$) Minimal Supersymmetric Model (MSSM) via analyses of pure leptonic() and semileptonic decays of pseudo-scalar mesons(% $M\to X\nu \bar{\nu }$). These analyses involve prediction of branching fraction of pure leptonic decays by using experimental limits/bounds derived from the study of semileptonic decays on $\text{NEG}{R}_p$ parameters. We have found, in general that $\text{NEG}{R}_p$ contribution dominates over the SM contribution i.e., by a factor of $10^2$ for the semleptonic decays of $K^0$, $10$ for the pure leptonic decays of $K_{L,S}$ , while $10^2$\& $10^4$ in case of $B_s$ and $B_d$ respectively. This demonstrates the role of $\text{NEG}{R}_p$ as a viable model for the study of NP contribution in rare decays.