Using SU(3) Relations to bound the CP Asymmetries in $B \to KKK$ decays

Abstract

We consider three body $Δs = 1$ $B \to f$ decays with $f=KKK$. The deviations of $-η_f S_f$ from $S_{ψK_S}$ and of $C_f$ from zero can be bounded using the approximate SU(3) flavor symmetry of the strong interactions and branching ratios of various $Δs = 0$ modes. We present the most promising SU(3) amplitude relations that can be used to obtain these bounds.