Penguin Zoology in $B\toππ$ and the Extraction of the CKM Angle $α$

Details Penguin Zoology in $B\toππ$ and the Extraction of the CKM Angle $α$ Penguin Zoology in $B\toππ$ and the Extraction of the CKM Angle $α$

1996-10-14

arxiv.org/abs/hep-ph/9610357v1

Phys.Lett. B397 (1997) 269-274

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTeX, no figures. The complete paper is also available via anonymous ftp at ftp://www-ttp.physik.uni-karlsruhe.de/ ,

Scientific paper

10.1016/S0370-2693(97)00166-4

We reanalyze the decay $B_d\to\pi^+\pi^-$ without assuming dominance of QCD penguins with internal top-quark exchanges. In that case the weak phase of the $\bar b \to\bar d$ QCD penguin amplitude is not related in a simple way to the CKM angle $\beta$. Nevertheless it is still possible to extract the CKM angle $\alpha$ in a transparent and almost model-independent way from the time-dependent CP-violating asymmetry of the transition $B_d\to\pi^+\pi^-$. Aside from that CP asymmetry this approach needs as an input only amplitudes of decays with branching ratios of order $10^{-5}$ and will thus be well within reach at future $B$-factories.

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