====== TTP96-49 Penguin Zoology in $B\to\pi\pi$ and the Extraction of the CKM Angle $\alpha$ ====== 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. |**Robert Fleischer, Thomas Mannel** | |** Phys. Lett. B397 269-274 1997 ** | | {{preprints:1996:ttp96-49.pdf|PDF}} {{preprints:1996:ttp96-49.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9610357|arXiv]] | | |