Zweig-rule-satisfying inelastic rescattering in B decays to pseudoscalar mesons

Abstract

We discuss all contributions from Zweig-rule-satisfying SU(3)-symmetric inelastic FSI-induced corrections in B decays to $\pi \pi$, $\pi K$, $K\bar{K}$, $\pi \eta ({\eta }^{\prime })$, and $K\eta ({\eta }^{\prime })$ . It is shown how all of these FSI corrections lead to a simple redefinition of the amplitudes, permitting the use of a simple diagram-based description, in which, however, weak phases may enter in a modified way. The inclusion of FSI corrections admitted by the present data allows an arbitrary relative phase between the penguin and tree short-distance amplitudes. The FSI-induced error of the method, in which the value of the weak phase $\gamma$ is to be determined by combining future results from $B^{+},B_d^0,B_s^0$ decays to $K\pi$, is estimated to be of the order of $5^o$ for $\gamma \approx 50^o-60^o$.

18 LaTeX pages, 2 .ps figure files

References in corpus (2)

• Implications of CP Asymmetry Limits for $B\to K\pi$ and $B\to \pi \pi$
• Updated Analysis of Some Two-Body Charmless B Decays

Cited by in corpus (4)

• Charming penguins in B -> PP decays and the extraction of gamma
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Combining Information from $B\to \pi \pi$ and $B\to \pi \rho ,\pi \omega$ Decays
• Inelastic Final State Interactions in $B\to PP$ Decays