Determination of the $\eta$-$\eta^\prime$ mixing angle

TL;DR

This paper determines the $$-$'$ mixing angle and decay constant ratios of light pseudoscalar mesons using recent experimental data from BaBar and other sources.

Contribution

It provides a new extraction of the $$-$'$ mixing angle and decay constants based on updated experimental measurements.

Findings

Precise value of the $$-$'$ mixing angle obtained.

Decay constant ratios of $^0$, $$, and $'$ determined.

Improved understanding of pseudoscalar meson mixing and decay properties.

Abstract

We extract $\eta$-$\eta^\prime$ mixing angle and the ratios of decay constants of light pseudoscalar mesons $\pi^0$, $\eta$ and $\eta^\prime$ using recently available BaBar measurements on $\eta$-photon and $\eta^\prime$-photon transition form factors and more accurate experimental data for the masses and two-photon decay widths of the light pseduoscalar mesons.