Weak phases $\gamma$ and $\alpha$ from $B^{+}$, or $B^0$ and $B_s$ decays

Abstract

An improved flavor SU(3) method is presented for determining the weak angle $\gamma$ of the unitarity triangle using decay rates for $B^{+}\to K\pi ,B^{+}\to K^{+}{\bar{K}}^0$ and $B^{+}\to {\pi }^{+}\eta$ (or $B^0\to K\pi$ and $B_s\to K\pi$), their CP-conjugate modes and the CP-averaged rate for $B^{\pm }\to {\pi }^{\pm }{\pi }^0$. Rescattering (color-suppressed) contribution in $B^{+}(B^0)\to K\pi$, for which an improved bound is obtained, is subtracted away. The only significant SU(3) breaking effects are accounted for in the factorization approximation of tree amplitudes. The weak angle $\alpha$ is obtained as a byproduct.

9 pages with 2 included eps figures; revised argument, taking into account the special shape of the amplitude quadrangle. An improved bound on rescattering effects is given

References in corpus (3)

• Final State Interactions and New Physics in B -> pi K Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• First Observation of the Cabibbo Suppressed Decay $B^{+}\to {\bar{D}}^0{K}^{+}$

Cited by in corpus (6)

• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• The Role of $B_s\to K\pi$ in Determining the Weak Phase $\gamma$
• Searching for New Physics in Non-Leptonic B Decays
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot