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

Abstract

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 $0.781\times10^{-6}$.