Contribution of Inelastic Rescatterring to $B\to \pi \pi ,K\bar{K}$ Decays

Abstract

We discuss multichannel inelastic rescatterring effects in B decays into a pair $PP$ of pseudoscalar mesons ($PP=\pi \pi$ or $K\bar{K}$). In agreement with short-distance models it is assumed that initially $B$ meson decays dominantly into jet-like states composed of two flying-apart low-mass resonances $M_1{M}_2$ which rescatter into $PP$. Since from all S-matrix elements $<i|S|PP>$ involving $PP$ only some ($i=M_1{M}_2$) contribute to the final state rescatterring, the latter is treated as a correction only. The rescatterring of resonance pair $M_1{M}_2$ into the final $PP$ state is assumed to proceed through Regge exchange. Although effects due to a single intermediate state $M_1{M}_2$ are small, it is shown that the combined effect of all such states should be large. In particular, amplitudes of B decays into $K\bar{K}$ become significantly larger than those estimated through short-distance penguin diagrams, to the point of being comparable to the $B\to \pi \pi$ amplitudes.

25 LaTeX pages, 6 figures in one .ps file

References in corpus (2)

• Final state interaction phase in B decays
• Coupled-Channel Final-State Interactions through Reggeon Exchange for D(B) --> ππ, K \bar{K}

Cited by in corpus (7)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Charming penguins in B -> PP decays and the extraction of gamma
• Zweig-rule-satisfying inelastic rescattering in B decays to pseudoscalar mesons
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Relating Final State Interactions in $B\to D\pi$ and $B\to DK$
• Inelastic Final State Interactions in $B\to PP$ Decays
• Annihilation Contributions and CP Asymmetries in $B^{+}\to {\pi }^{+}{K}^0,K^{+}{K}^0$ and $B^0\to K^0{\bar{K}}^0$