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.

Comments: 18 pages, 5 figures, minor changes in the text, added few references, to appear in Phys. Rev. D