A Mixed Action Analysis of $\eta$ and ${\eta }^{\prime }$ Mesons

Abstract

We study $\eta$ and ${\eta }^{\prime }$ mesons and their mixing angle in a mixed action approach with so-called Osterwalder-Seiler valence quarks on a Wilson twisted mass sea. The gauge configurations have been generated by ETMC for $N_f=2+1+1$ dynamical quark flavours and for three values of the lattice spacing. The main results are that differences in between the mixed action and the unitary approach vanish towards the continuum limit with the expected rate of $\mathcal{O}(a^2)$. The individual size of the lattice artifacts depends, however, strongly on the observable used to match unitary and valence actions. Moreover, we show that for the $\eta$ mass valence and valence plus sea quark mass dependence differ significantly. Hence, in this case a re-tuning of the simulation parameters in the valence sector only is not sufficient to compensate for mismatches in the original quark masses.

30 pages, 8 figures, version accepted for publication

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Cited by in corpus (4)

• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Fate of the ${\eta }^{\prime }$ in the Quark Gluon Plasma
• A linear sigma model for multiflavor gauge theories
• Mixed action with Borici-Creutz fermions on staggered sea