$B \to Kπ$ decays and the weak phase angle $γ$

Details $B \to Kπ$ decays and the weak phase angle $γ$ $B \to Kπ$ decays and the weak phase angle $γ$

2000-09-12

arxiv.org/abs/hep-ph/0009142v1

Nucl.Phys.Proc.Suppl. 96 (2001) 467-471

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at the QCD Euroconference 00, Montpellier 6-12 July 2000, 10 pages,4 figures

Scientific paper

10.1016/S0920-5632(01)01167-7

The large branching ratios for $B \to K\pi$ decays as observed by the CLEO Collaboration indicate that penguin interactions contribute a major part to the decay rates and provide an interference between the Cabibbo-suppressed tree and penguin contributions resulting in a CP-asymmetry between the $B \to K\pi$ and its charge conjugate mode. The CP-averaged decay rates depend also on the weak phase $\gamma$ and give us a determination of this phase. In this talk, I would like to report on a recent analysis of $B \to K\pi$ decays using factorisation model with final state interaction phase shift included. We find that factorisation seems to describe qualitatively the latest CLEO data. We also obtain a relation for the branching ratios independent of the strength of the strong penguin interactions. This relation gives a central value of $0.60 \times 10^{-5}$ for ${\mathcal B}(\bar{B}^{0} \to \bar{K}^{0}\pi^{0})$, somewhat smaller than the latest CLEO measurement. We also find that a ratio obtained from the CP-averaged $B \to K\pi$ decay rates could be used to test the factorisation model and to determine the weak angle $\gamma$ with more precise data, though the latest CLEO data seem to favor $\gamma$ in the range $90^{\circ}-120^{\circ}$.

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