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

TL;DR

This paper employs light-cone sum rules to calculate hadronic matrix elements and branching ratios for specific B meson decays, achieving results consistent with experimental measurements and providing estimates for less studied channels.

Contribution

It introduces a method using light-cone sum rules for calculating factorizable contributions in B meson decays, offering a new approach to evaluate hadronic matrix elements.

Findings

Calculated branching ratios for B decay channels agree with experimental data.

Estimated the branching ratio of B_s^0 → π^+π^- as approximately 0.781×10^{-6}.

Demonstrated the effectiveness of light-cone sum rules in nonleptonic B decays.

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 $0.781\times10^{-6}$.