CP Violation and Nonleptonic B-meson Decays

We discuss the perturbative QCD approach for exclusive non-leptonic two body B-meson decays. We briefly review its ingredients and some important theoretical issues related to the factorization approach. PQCD results are compatible with present experimental data for the charmless B-meson decays. We predict the possibility of large direct CP violation effects in $B^0 \to π^{+}π^{-}$ $(23\pm7$ and $B^0\to K^{+}π^{-}$ $(-17\pm5$. For charmed decay $B \to D^{(*)}π$, we get large non-factorizable contributions for Color-suppressed decays and obtain $|a_2/a_1|\sim 0.4-0.5$ and $Arg(a_2/a_1)\sim -42^{o}$. In the last section we investigate the method to extract the weak phases $ϕ_2$ from $B \to ππ$ decay and $ϕ_3$ from $Kπ$ modes. From BaBar measurement of CP asymmetry for the $π^{+}π^{-}$ decay, the prefered CKM weak phases are: $ϕ_1=(24\pm2)^{o}$, $ϕ_2=(78\pm 22)^{o}$ and $ϕ_3=(78\pm 22)^{o}$.

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