The eta and eta' mesons from lattice QCD

TL;DR

This paper uses lattice QCD to study the properties of eta and eta' mesons, including their mass splitting and decay constants, providing insights into flavor singlet effects and topological susceptibility.

Contribution

It presents first-principles lattice QCD results on eta and eta' mesons, including mass splitting and decay constants, and discusses potential future studies of topological susceptibility.

Findings

Natural emergence of eta and eta' mass splitting

Results on decay constants for eta and eta'

Discussion of topological susceptibility in lattice QCD

Abstract

Lattice QCD allows a first-principles study of QCD with the freedom to vary the number and masses of the quarks. I present results on the flavour singlet correlations (this illuminates OZI violating effects) for mesons. Concentrating on the pseudoscalar mesons, the flavour singlet mass splitting ($\eta$, $\eta'$ mass splitting) appears naturally. I also present results on an investigation of decay constants for the $\eta$ and $\eta'$ ($f_{\eta}$) and discuss which quantities may be accessible in future lattice studies. The Witten-Veneziano approach can also be explored by determining the quenched topological susceptibility on a lattice.