Charmless Final State Interaction in B-> pi pi decays

Abstract

We estimate effects of the final state interactions in B -> pi pi decays coming from rescattering of pi pi via exchange of rho, sigma, f_0 mesons. Then we include the rho rho rescattering via exchange of pi, omega, a_1 mesons and finally we consider contributions of the a_1 pi rescattering via exchange of rho. The absorptive parts of amplitudes for these processes are determined. In the case of pi^+ pi^- decay mode, due to model uncertainties, the calculated contribution is |M_A| =< 1.7 x 10^-8 GeV. This produces a small relative strong phase for the tree and color-suppressed B -> pi pi amplitudes consistent with the result of a recent phenomenological analysis based on the BaBar and Belle results for the B -> pi pi branching ratios and CP asymmetries.

10 pages, 2 figures

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Cited by in corpus (7)

• Two body B decays with isosinglet final states in SCET
• Observation of CP violation in B^0 -> eta' K^0 Decays
• Measurement of time dependent CP asymmetry parameters in B0 meson decays to omega K0S, eta'K0, and pi0K0S
• A Consistent Scenario for B to PS Decays
• B -> pi pi decays
• On the color suppressed contribution to $\bar{B_{d}^0} \rightarrow \, π^0 π^{0}
• CP asymmetry and branching ratio of B -> pi pi