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State mixing and masses of the $\pi^0$, $\eta$ and $\eta^\prime$ mesons from $n_f=1+1+1$ lattice QCD+QED
- Publication Year :
- 2021
-
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.<br />Comment: 9 pages, 4 figures. Some small changes and added discussion. Version to appear in PRD
- Subjects :
- High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2110.11533
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.104.114514