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 $\Delta S=1$ $B_s$ decays using time-dependent CP asymmetries in these decays and in flavour SU(3) related $\Delta S=0$ decays. For illustration, we assume a hierarchy, $\sim 1:\lambda :{\lambda }^2$ ($\lambda =0.2$), between a dominant $\Delta S=1$ 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 $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0},B^0\to K^{\ast 0}{\bar{K}}^{\ast 0}$, where the magnitude of the NP amplitude, its weak and strong phases can be determined.

typo corrected, reference added, submitted to Physics Letters B

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• Rare Decays and CP Violation in the $B_s$ System
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• Searching for New Physics with bbar -> sbar Bs -> V_1 V_2 Penguin Decays
• First measurement of the $CP$-violating phase ${\varphi }_s^{d\overline{d}}$ in $B_s^0\to (K^{+}{\pi }^{-})(K^{-}{\pi }^{+})$ decays
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Search for the decay $B^{+}\to \overline{K}{}^{\ast 0}{K}^{\ast +}$ at Belle
• Flavour Theory and the LHC Era
• Measurement of the branching fractions and longitudinal polarisations of $B_{(s)}^0\to K^{\ast 0}\overline{K}{}^{\ast 0}$ decays
• Prospects for B-Decay Studies at the LHC
• Measurements of B meson decay rates and CP violation asymmetries