Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State mixing and masses of the $\pi^0$, $\eta$ and $\eta^\prime$ mesons
  from $n_f=1+1+1$ lattice QCD+QED   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.

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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio