Using SU(3) Flavor to Constrain the CP Asymmetries in $B\to PP,VP,VV$ Decays involving $b\to s$ Transitions

Abstract

We use the approximate SU(3) flavor symmetry of the strong interaction to put bounds on the CP asymmetries in $b\to s$ decays of the $B_d^0$ and $B_u^{+}$ mesons. We extend the work of \cite{Grossman:2003qp} to include all relevant $B\to PP$, $B\to VP$ and $B\to VV$ decays. We obtain the strongest constraints from current data, and provide a list of SU(3) relations which can be used when future data is obtained.

Comments: 38 pages, revtex4