Studying New Physics Amplitudes in Charmless B_s Decays

Abstract

A method based on flavour SU(3) is proposed for identifying and extracting New Physics (NP) amplitudes in charmless $ΔS=1$ $B_s$ decays using time-dependent CP asymmetries in these decays and in flavour SU(3) related $ΔS=0$ decays. For illustration, we assume a hierarchy, $\sim 1: λ: λ^2$ ($λ=0.2$), between a dominant $ΔS=1$ penguin amplitude, a NP amplitude and a Standard Model amplitude with weak phase $γ$. An uncertainty from SU(3) breaking corrections, reduced by using ratios of hadronic amplitudes, is further suppressed by a factor $λ$. We discuss examples for pairs of decays into two neutral vector mesons, $B_s\toϕϕ, B_s\toϕ\bar K^{*0}$ 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.

typo corrected, reference added, submitted to Physics Letters B