Effect of $\eta$--$\eta'$ mixing on $D \to PV$ decays

TL;DR

This paper investigates how $ ext{η}$--$ ext{η'}$ mixing angles influence $D o PV$ decay processes, comparing different mixing angle values and their effects on decay analysis.

Contribution

It provides a comparative analysis of the impact of different $ ext{η}$--$ ext{η'}$ mixing angles on $D o PV$ decay predictions.

Findings

The octet-singlet mixing angle of 19.5° is commonly used.

A smaller mixing angle of 11.7° is favored by recent $D o PP$ decay data.

Mixing angle choice significantly affects decay amplitude calculations.

Abstract

Charmed meson decays to a light pseudoscalar ($P$) and light vector ($V$) meson are analyzed taking account of $\eta$--$\eta'$ mixing. A frequently-used octet-singlet mixing angle of $19.5^\circ$ is compared with a value of $11.7^\circ$ favored by a recent analysis of $D \to PP$ decays.