Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach

Abstract

Considering the $B$ mesonic wave function ${\varphi }_{B2}$, the $B$ $\to$ $PV$ decays are restudied at the leading order for three scenarios using the perturbative QCD approach within the standard model, where $P$ $=$ $\pi$ and $K$, and $V$ denotes the ground $SU(3)$ vector mesons. It is found that contributions from ${\varphi }_{B2}$ can enhance most branching ratios, and are helpful for improving the overall consistency of branching ratios between the updated calculations and available data, although there are still several discrepancies between the experimental and theoretical results.

arXiv comment50 pages

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• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach