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

TL;DR

This paper reexamines $B o PV$ decays by including the ${}_{B2}$ wave function contribution within the perturbative QCD framework, leading to improved agreement with experimental data.

Contribution

It introduces the ${}_{B2}$ wave function into $B o PV$ decay calculations, enhancing theoretical predictions within the perturbative QCD approach.

Findings

Contributions from ${}_{B2}$ increase most branching ratios.

Improved consistency between theoretical predictions and experimental data.

Several discrepancies between theory and experiment remain.

Abstract

Considering the $B$ mesonic wave function ${\phi}_{B2}$, 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 ${\phi}_{B2}$ 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.