Study of some B_s to f_0(980) decays in the fourth generation model

Abstract

We study some non leptonic and semileptonic decays of $B_s$ meson into a final scalar meson $f_0(980)$ in the fourth quark generation model. Since the $f_0(980)$ meson is dominantly composed of ($s \bar s $) pair, the mixing induced CP asymmetry in the decay mode $B_s \to J/\psi f_0(980)$ would {\it a priori} give $\sin 2 \beta_s$, where $\beta_s$ is the $B_s-\bar B_s$ mixing phase. In the standard model this asymmetry is expected to be vanishingly small. We find that in the fourth generation model a large mixing induced CP asymmetry could be possible for this process. Similarly the branching ratios of the rare semileptonic decays $B_s \to f_0(980) l^+ l^-$ and $B_s \to f_0(980) \nu \bar \nu$ are found to be enhanced significantly from their corresponding standard model values.