Contributions from $${\Phi }_{B2}$$ ΦB2 to the B $${\rightarrow }$$ → PP decays within the QCD factorization

Abstract

Abstract With the potential for the improvements of measurement precision, the refinement of theoretical calculation on hadronic B weak decays is necessary. In this paper, we study the contributions of B mesonic distribution amplitude $${\Phi }_{B2}$$ ΦB2 within the QCD factorization approach, and find that $${\Phi }_{B2}$$ ΦB2 contributes to only the nonfactorizable annihilation amplitudes for the B $${\rightarrow }$$ → PP decays (P denotes the ground SU(3) pseudoscalar mesons). Although small, the $${\Phi }_{B2}$$ ΦB2 contributions might be helpful for improving the performance of the QCD factorization approach, especially for the pure annihilation $$B_{d}$$ Bd $${\rightarrow }$$ → $$K^{+}K^{-}$$ K+K- and $$B_{s}$$ Bs $${\rightarrow }$$ → $${\pi }^{+}{\pi }^{-}$$ π+π- decays.