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We analyze charmless two-body non-leptonic B decays $B \to PP, PV$ under theframework of factorization assisted topological amplitude approach, where$P(V)$ denotes a light pseudoscalar (vector) meson. Compared with theconventional flavor diagram approach, we consider flavor $SU(3)$ breakingeffect assisted by factorization hypothesis for topological diagram amplitudesof different decay modes, factorizing out the corresponding decay constants andform factors. The non-perturbative parameters of topology diagram magnitudes$\chi$ and strong phase $\phi$ are universal that can be extracted by $\chi^2$fit from current abundant experimental data of charmless B decays. The numberof free parameters and the $\chi^2$ per degree of freedom are both reducedcomparing with previous analysis. With these best fitted parameters, we predictbranching fractions and $CP$ asymmetry parameters of nearly 100 $B_{u,d}$ and$B_s$ decay modes. The long-standing $\pi \pi$ and $\pi K$-$CP$ puzzles areresolved simultaneoulsy.

Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach