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.
Cite
@article{arxiv.hep-ph/0509085,
title = {Charmless Final State Interaction in B-> pi pi decays},
author = {Svjetlana Fajfer and Anita Prapotnik Brdnik and Tri-Nang Pham},
journal= {arXiv preprint arXiv:hep-ph/0509085},
year = {2009}
}
Comments
10 pages, 2 figures