Study of $B\rightarrow \rho\eta$, $\rho\eta^{\prime}$ decays in the modified perturbative QCD approach

TL;DR

This paper analyzes $B$ meson decays to $ ho ext{ and } ext{eta}$ mesons using an improved perturbative QCD approach, incorporating soft form factors and color-octet contributions, and finds results consistent with experimental data.

Contribution

It introduces modifications to the perturbative QCD method by including soft transition form factors and color-octet contributions for more accurate decay predictions.

Findings

Branching ratios match experimental data

Predicted unmeasured decay quantities

Validated the improved QCD approach

Abstract

We study the decay processes of $B\rightarrow \rho\eta$, $\rho\eta^{\prime}$ in the perturbative quantum chromodynamics (QCD) approach with a few improvements incorporated in it, where the contributions with large momentum transfer are calculated perturbatively, and the contributions with lower energy scale are treated by introducing soft transition form factors. In addition, color-octet contributions are introduced which are essentially long-distance contributions. With reasonable input parameters selected, we find that the theoretical results of the branching ratios and $CP$ violations are all consistent with experimental data. We also predict some unmeasured quantities, which can be tested by experiment in the future.