State mixing and masses of the $\pi^0$, $\eta$ and $\eta^\prime$ mesons from $n_f=1+1+1$ lattice QCD+QED

TL;DR

This paper uses lattice QCD+QED simulations to analyze the mixing and masses of the $c0^0$, $b7$, and $b7^d$ mesons, revealing how flavor mixing influences their mass differences.

Contribution

It provides the first lattice QCD+QED analysis of flavor-neutral pseudoscalar mesons including mixing effects and flavor compositions at the physical point.

Findings

Mass splitting between c0^0 and b7 observed

Flavor compositions influence meson mass differences

Preliminary results at the physical point obtained

Abstract

We present a lattice analysis of the light pseudoscalar mesons with consideration for the mixing between the flavour-neutral states $\pi^0$, $\eta$ and $\eta^\prime$. We extract the masses and flavour compositions of the pseudoscalar meson nonet in $n_f=1+1+1$ lattice QCD+QED around an SU(3)-flavour symmetric point, and observe flavour-symmetry features of the extracted data, along with preliminary extrapolation results for the flavour compositions at the physical point. A key result of this work is the observed mass splitting between the $\pi^0$ and $\eta$ on our ensembles, which is found to exhibit behaviour that is simply related to the corresponding flavour compositions.