Abandoning Exact SU(3) in Coupled-Channel Final-State Interactions through Reggeon Exchange for $B\to \pi\pi, K\bar{K}$

Abstract

For weak decays $B_d^{0}\to \pi\pi$ and $K\bar{K}$ the effects of SU(3) breaking in coupled-channel final-state interaction effects are discussed in a Regge framework. It is shown that SU(3) breaking in the inelastic final-state transitions dramatically affects the phases of the isospin $I=0,1,2$ amplitudes in the $B_d^{0}$ decays. The effect of the singlet penguin diagram on these phases is studied. Furthermore, on the example of the $B_d^{0}\to \pi\pi$ decays, the dependence of CP asymmetries on the size of penguin amplitude is analyzed.