CP violating phase $γ$ and the partial widths asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \to K^+ K^- K^-$ decays

Details CP violating phase $γ$ and the partial widths asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \to K^+ K^- K^-$ decays CP violating phase $γ$ and the partial widths asymmetry in $B^- \to π^+ π^- K^-$ and $B^- \to K^+ K^- K^-$ decays

2002-03-07

arxiv.org/abs/hep-ph/0203072v2

Phys.Lett. B539 (2002) 67-75

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, epsf.tex included, 16 pages, 2 figures, corrected version to appear in Physics Letters B

Scientific paper

Motivated by recent Belle measurement of the branching ratios $B^- \to \pi^+ \pi^- K^-$ and $B^- \to K^+ K^- K^-$ and $B^\pm \to \chi_{c0} K^\pm$, we investigate 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 nonresonant decay amplitude with the resonant amplitude $B^\pm \to \chi_{c0} K^\pm $ $ \to\pi^+ \pi^- K^\pm $ and $B^\pm \to \chi_{c0} K^\pm$ $ \to K^+ K^- K^-$. By taking $\gamma \simeq 58^o$ we predict that the partial widths asymmetry is reaching 10% for the $B^- \to \pi^+ \pi^- K^-$ decay and 16% for the $B^- \to K^+ K^- K^-$decay.

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