English

$B \to K\pi$ decays and the weak phase angle $\gamma$

High Energy Physics - Phenomenology 2009-10-31 v1

Abstract

The large branching ratios for BKπB \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 BKπB \to K\pi and its charge conjugate mode. The CP-averaged decay rates depend also on the weak phase γ\gamma and give us a determination of this phase. In this talk, I would like to report on a recent analysis of BKπB \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 0.60×1050.60 \times 10^{-5} for B(Bˉ0Kˉ0π0){\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 BKπB \to K\pi decay rates could be used to test the factorisation model and to determine the weak angle γ\gamma with more precise data, though the latest CLEO data seem to favor γ\gamma in the range 9012090^{\circ}-120^{\circ}.

Keywords

Cite

@article{arxiv.hep-ph/0009142,
  title  = {$B \to K\pi$ decays and the weak phase angle $\gamma$},
  author = {T. N. Pham},
  journal= {arXiv preprint arXiv:hep-ph/0009142},
  year   = {2009}
}

Comments

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