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

Abstract

Considering the $B$ mesonic distribution amplitude ${\varphi }_{B2}$, we reinvestigated the $B$ $\to$ $PP$ (where $P$ $=$ $\pi$ and $K$) decays with the perturbative QCD (pQCD) approach based on the $k_T$ factorization for three scenarios. It is found that the contributions of ${\varphi }_{B2}$ to formfactors $F_0^{B\to P}(0)$ and branching ratios are comparable with those from the NLO corrections. The $B$ $\to$ $K\pi$ decays could be well explained by considering the ${\varphi }_{B2}$. Hence, when the nonleptonic $B$ decays are studied withe the pQCD approach, the ${\varphi }_{B2}$ should be taken into account seriously.

32 pages, 9 figures

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Cited by in corpus (8)

• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Hochschild homology, trace map and $\zeta$-cycles
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• Higher twist corrections to doubly-charmed baryonic $B$ decays
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• Sensitivity of Two-Body Non-Leptonic Branching Fractions to Theoretical Mass Variations in Heavy-Light Mesons