Indications for Large Rescattering in Rare B Decays

Abstract

The sign of $A_{\rm CP}(K^-π^+) < 0$, the evidence for $\bar B^0 \to π^0π^0$, and the possibly sizable $A_{ππ}$ and $S_{ππ}$ in $\bar B^0 \to π^+π^-$ all suggest that final state rescattering may be needed in $\bar B\to PP$ decay, which is echoed by large color suppressed $\bar B^0\to D^0h^0$ modes. An SU(3) formalism of ${\bf 8}\otimes {\bf 8} \to {\bf 8}\otimes {\bf 8}$ rescattering in $PP$ final states leads to interesting predictions, in particular allowing for small $\bar B^0 \to K^-K^+$.