CP-violating asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \rarr K^+ K^- K^-$ decays

Details CP-violating asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \rarr K^+ K^- K^-$ decays CP-violating asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \rarr K^+ K^- K^-$ decays

2003-01-20

arxiv.org/abs/hep-ph/0301160v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at the Quark Confinement and Hadron Spectrum V, Gargnano,Italy,10-14 September 2002, LaTeX,4 pages

Scientific paper

The recent Belle and Babar measurements of the branching ratios $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$ and $B^\pm \to \chi_{c0} K^\pm$ have renewed interests in these decays as another mean to look for direct CP violation in B decays. In this talk, I would like to discuss a recent analysis of the CP violating asymmetry in the partial widths for the decays $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$, which results from the interference of the non resonant amplitude with the resonant amplitude $B^\pm \to \chi_{c0} K^\pm $ $ \rarr\pi^+ \pi^- K^\pm $ and $B^\pm \to \chi_{c0} K^\pm$ $ \to K^+ K^- K^\pm$. For $\gamma \simeq 58^o$ we predict that the partial width asymmetry could reach 10% for the $B^- \to \pi^+ \pi^- K^-$ decay and 16% for the $B^- \to K^+ K^- K^-$decay.

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