Speaker
Mr
Jorge Nogueira
(ITA)
Description
In three-body charmless $B^{\pm}$ meson decay CPT symmetry is an important constraint that must be obeyed by the decay amplitude. Consistent with this requirement the final state interaction (FSI) in the decay amplitude has a important relationship with the CP asymmetry pattern in the decay of
charge conjugates mesons $B^\pm$ as shown in [1]. Recent experiments of LHCb [2] bring results for the charged channels $K^{\pm}K^{+}K^{-}$, $K^\pm \pi^+\pi^-$, $\pi^\pm K^+ K^-$ and $\pi^\pm \pi^+\pi^-$ . In this work we propose an extension of the formalism of reference [1], which was the final state interaction introduced in the decay of $ B^{\pm} $ in the coupled channels $K^\pm \pi^+\pi^-$ and $K^\pm K^+ K^-$. In this previous work it was considered only two interacting mesons and the other meson $K^\pm$ was acting only as a spectator.
In the present contribution we symmetrize the decay amplitude in the $K^\pm K^+ K^-$ channel based on the two-body formalism presented in [1] but including interference effects due to the dynamical role of the third meson. The new experimental data of reference [2] suggests the presence of such interference in different regions of the Dalitz plot.
[1] I. Bediaga, O. Lourenço, T. Frederico. Phys. Rev. D89, 094013 (2014).
[2] R. Aaij et al. The LHCb Collaboration. arXiv: 1408.5373 [hep-ex]. To appear in Phys. Rev. D (2014).
Author
Mr
Jorge Nogueira
(ITA)
