$B\to PP$ decays with Light-Cone Sum Rules

We study factorizable contributions to two-body nonleptonic decays of $B$ mesons using the light-cone sum rule method. By constructing three-point correlation functions and incorporating light-cone distribution amplitudes, we compute the hadronic matrix elements and branching ratios for decay channels $B^0\to {\pi }^{+}{\pi }^{-}$, $B^{+}\to {\pi }^{+}{\pi }^0$, $B^0\to K^{+}{\pi }^{-}$, and $B^0\to K^{+}{K}^{-}$. The results are in agreement with experimental data within uncertainties. We also estimate the branching ratio of $B_s^0\to {\pi }^{+}{\pi }^{-}$ to be approximately $0.781\times {10}^{-6}$.