Phenomenological evidence for the energy dependence of the $\eta-\eta'$ mixing angle

TL;DR

This paper presents a phenomenological analysis demonstrating that the $ta-ta'$ mixing angle varies with energy, improving agreement with experimental data and linking to two-angle mixing models.

Contribution

It introduces an energy-dependent mixing angle scheme for the $ta-ta'$ system, offering a novel approach to meson mixing analysis.

Findings

Remarkable agreement with experimental decay data

Establishment of an energy dependence in the mixing angle

Connection to two-angle mixing fits in the $ta-ta'$ sector

Abstract

A phenomenological analysis on various decay processes is performed using an energy-dependent $\eta-\eta'$ mixing angle scheme. Special attention is given to the radiative couplings between lowest-lying vector and pseudoscalar mesons. The agreement between our predictions and the experimental values is remarkable. This analysis opens a connection to two-angle fits in the $\eta-\eta'$ sector.