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 $B^0 \to \pi^{+}\pi^{-}$ $(23\pm7 %)$ and $B^0\to K^{+}\pi^{-}$ $(-17\pm5%)$. For charmed decay $B \to D^{(*)}\pi$, 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 $\phi_2$ from $B \to \pi\pi$ decay and $\phi_3$ from $K\pi$ modes. From BaBar measurement of CP asymmetry for the $\pi^{+}\pi^{-}$ decay, the prefered CKM weak phases are: $\phi_1=(24\pm2)^{o}$, $\phi_2=(78\pm 22)^{o}$ and $\phi_3=(78\pm 22)^{o}$.