Possibility of Large Final State Interaction Phases in Light of B \to Kπand ππData

Details Possibility of Large Final State Interaction Phases in Light of B \to Kπand ππData Possibility of Large Final State Interaction Phases in Light of B \to Kπand ππData

1999-11-30

arxiv.org/abs/hep-ph/9911528v3

Phys.Rev.Lett. 84 (2000) 4806-4809; Erratum-ibid. 90 (2003) 039901

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, revtex, 3 eps figures, an error on SU(3) corrected. Version to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.90.039901

The newly observed $\bar B^0 \to \bar K^0\pi^0$ mode is quite sizable while $\pi^-\pi^+$ is rather small. Data also hint at $\pi^-\pi^0 \gtrsim \pi^-\pi^+$. Though consistent with zero, central values of CP violating asymmetries in $K^-\pi^{+,0}$ and $\bar K^0\pi^-$ show an interesting pattern. Taking cue from these, we suggest that, besides $\gamma\equiv {\rm arg} (V_{ub}^*)$ being large, the rescattering phase $\delta$ in $K\pi$ and $\pi\pi$ modes may be greater than $90^\circ$. If this is true, not only the above trends can be accounted for, one would also find $\pi^0\pi^0 \sim \pi^-\pi^{+,0}$, and the CP asymmetry in $\bar B^0$ vs. $B^0 \to \pi^-\pi^+$ could be as large as -60%. These results can be tested in a couple of years.

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