Direct CP violation in three-body decays of the $B$ meson by resonance effects

Details Direct CP violation in three-body decays of the $B$ meson by resonance effects Direct CP violation in three-body decays of the $B$ meson by resonance effects

1997-11-29

arxiv.org/abs/hep-ph/9712202v2

Phys.Lett. B433 (1998) 109-116

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 1 figures. Argument to determine the CKM angle is changed. Also available via anonymous ftp at ftp://ftp.kek.jp/kek/

Scientific paper

10.1016/S0370-2693(98)00592-9

We discuss direct CP violation in three-body decays of $B$ meson such as $B^\pm \to K^\pm\pi^+\pi^-$, which involves various intermediate resonance states, such as $B^\pm \to K^*_i \pi^\pm$ and $B^\pm \to \rho K^\pm$, where $K^*_i$ represents the $\pi K$ resonance. Due to the large final state interaction phases of the resonances, the CP asymmetry can be as large as the 25% level near the kinematical region where the $K^*_i$ and $\rho$ resonances overlap. By examining a Dalitz plot of this mode and combining a measurement of the branching ratio for $B^\pm \to \rho^\pm K$, it is possible to extract the weak phase, $\phi_3$= arg$(-V_{ud}V_{ub}^*/(V_{cd}V_{cb}^*))$, of the Kobayashi-Maskawa matrix.

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