Determining the Weak Phase $γ$ using the decays $B_d$, $B^+ \to K η(η')$ and $B_s \to πη(η')$

Abstract

We suggest two methods (based on flavor SU(3) symmetry) to determine the CKM angle $γ$ using the decays $B_d$, $B^+ \to K η(η')$ and $B_s \to πη(η')$, respectively. Rescattering effects are partly included -- we neglect annihilation amplitudes, but do not assume any other relation between the SU(3) invariant amplitudes. We use the fact that the amplitude (including the Electroweak Penguin contribution) for $B_d$, $B^+ \to πK$ with final state $I (isospin) =3/2$ is known as a function of $γ$ from the decay rate $B^+ \to π^0 π^+$.