Studying New Physics Amplitudes in Charmless B_s Decays

A method based on flavour SU(3) is proposed for identifying and extracting New Physics (NP) amplitudes in charmless $\mathrm{\Delta }S=1$ $B_s$ decays using time-dependent CP asymmetries in these decays and in flavour SU(3) related $\mathrm{\Delta }S=0$ decays. For illustration, we assume a hierarchy, $\sim 1: \lambda : \lambda^2$($\lambda=0.2$),betweenadominant$\Delta S=1$ penguin amplitude, a NP amplitude and a Standard Model amplitude with weak phase $\gamma$. An uncertainty from SU(3) breaking corrections, reduced by using ratios of hadronic amplitudes, is further suppressed by a factor $\lambda$. We discuss examples for pairs of decays into two neutral vector mesons, $B_s\to \varphi \varphi ,B_s\to \varphi {\bar{K}}^{\ast 0}$ and $B_s\to K^{*0}\bar K^{*0}, B^0\to K^{*0}\bar K^{*0}$, where the magnitude of the NP amplitude, its weak and strong phases can be determined.