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

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 ${\Phi }_{B2}$ within the QCD factorization approach, and find that ${\Phi }_{B2}$ contributes to only the nonfactorizable annihilation amplitudes for the $B$ $\to$ $PP$ decays ($P$ denotes the ground $SU(3)$ pseudoscalar mesons). Although small, the ${\Phi }_{B2}$ contributions might be helpful for improving the performance of the QCD factorization approach, especially for the pure annihilation $B_d$ $\to$ $K^{+}{K}^{-}$ and $B_s$ $\to$ ${\pi }^{+}{\pi }^{-}$ decays.

arXiv comment13pages,8figures

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Cited by in corpus (1)

• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$