Determining the Weak Phase γγ using the decays BdB_d, B+→Kη(η′)B^+ \to K η(η') and Bs→πη(η′)B_s \to πη(η')

preprint1999arXivOpen access

Abstract

We suggest two methods (based on flavor SU(3) symmetry) to determine the CKM angle γγ using the decays BdB_d, B+→Kη(η′)B^+ \to K η(η') and Bs→πη(η′)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 BdB_d, B+→πKB^+ \to πK with final state I(isospin)=3/2I (isospin) =3/2 is known as a function of γγ from the decay rate B+→π0π+B^+ \to π^0 π^+.

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