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

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

1999-02-19

arxiv.org/abs/hep-ph/9902395v2

Phys.Lett.B454:359-364,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX file, 13 pages including 2 figures. TeX formatting commands removed from the title and abstract for the listings entry

Scientific paper

10.1016/S0370-2693(99)00410-4

We suggest two methods (based on flavor SU(3) symmetry) to determine the CKM angle $\gamma$ using the decays $B_d$, $B^+ \to K \eta (\eta')$ and $B_s \to \pi \eta (\eta')$, 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 $B_d$, $B^+ \to \pi K$ with final state $I (isospin) =3/2$ is known as a function of $\gamma$ from the decay rate $B^+ \to \pi^0 \pi^+$.

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