Study of some rare decays ofBsmeson in the fourth generation model

Abstract

We study some rare decays of the ${B}_{s}$ meson governed by the quark-level transitions $b\ensuremath{\rightarrow}s$, in the fourth generation model popularly known as SM4. Recently, it has been shown that SM4, which is a simple extension of the SM3, can successfully explain several anomalies observed in the $CP$ violation parameters of $B$ and ${B}_{s}$ mesons. We find that in this model, due to the additional contributions coming from the heavy ${t}^{\ensuremath{'}}$ quark in the loop, the branching ratios and other observables in rare ${B}_{s}$ decays deviate significantly from their SM values. Some of these modes are within the reach of LHCb experiments, and a search for such channels is strongly argued.