$B\to PP$ 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 $B^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}$, $B^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0$, $B^0\to K^{+}\ddot{I}{€}^{-}$, and $B^0\to K^{+}{K}^{-}$. The results are in agreement with experimental data within uncertainties. We also estimate the branching ratio of $B_s^0\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}$ to be approximately $0.781\times 10^{-6}$.

14 pages, 5 figures