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Charmless Final State Interaction in B-> pi pi decays

Svjetlana Fajfer·Anita Prapotnik Brdnik·Tri-Nang Pham
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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.

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Svjetlana Fajfer, Anita Prapotnik Brdnik, Tri-Nang Pham. 2005-09-09. Charmless Final State Interaction in B-> pi pi decays. https://doi.org/10.1103/physrevd.72.114001

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