Updated study of the $\eta$-${\eta }^{\prime }$ mixing and the thermal properties of light pseudoscalar mesons at low temperatures

Abstract

Within the framework of the $U(3)$ chiral perturbation theory, we revisit the masses, decay constants and the mixing parameters of the light pseudoscalar mesons $\pi ,K,\eta$ and ${\eta }^{\prime }$. The low energy constants up to next-to-next-to-leading order are determined by including the light-quark mass dependences of the various quantities from different lattice QCD simulations and relevant phenomenological inputs. Then we study the finite-temperature behaviors of the masses of the light pseudoscalar mesons. The thermal behaviors of the $\eta$-${\eta }^{\prime }$ mixing angles in singlet-octet and quark-flavor bases are also explored. While the masses of the $\pi ,K$, and $\eta$ are increased when increasing the temperatures, the mass of the ${\eta }^{\prime }$ turns out to be slightly decreased in the low-temperature region.

19 pages, 10 figures. To match the published version in PRD

References in corpus (13)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Mesonic low-energy constants
• Isoscalar meson spectroscopy from lattice QCD
• Microscopic Origin of \boldmath{$U_A(1)$} Symmetry Violation in the High Temperature Phase of QCD
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• The ratio FK/Fpi in QCD
• Flavor-singlet meson decay constants from $N_f=2+1+1$ twisted mass lattice QCD
• Chiral and $U(1{)}_A$ restoration for the scalar/pseudoscalar meson nonets
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• $\eta -{\eta }^{\prime }$ Mixing in the Flavor Basis and Large N
• Chiral and U_A(1) symmetry in correlation functions in medium
• Scrutinizing the eta-eta' mixing, masses and pseudoscalar decay constants in the framework of U(3) chiral effective field theory

Cited by in corpus (14)

• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Long-lived Sterile Neutrinos at Belle II in Effective Field Theory
• Can the nature of $a_0(980)$ be tested in the $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decay?
• Fate of the ${\eta }^{\prime }$ in the Quark Gluon Plasma
• ${\eta }^{\prime }$ and $\eta$ mesons at high T when the U_A(1) and chiral symmetry breaking are tied
• Thermal behaviors of light scalar resonances at low temperatures
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Heating triangle singularities in heavy ion collisions
• Revisit of tensor-meson nonet in resonance chiral theory
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• Quarkonium interactions with (hot) hadronic matter
• Finite temperature QCD with $N_f=2+1+1$ Wilson twisted mass fermions at physical pion, strange and charm masses
• $N_C$ evolution of the light meson resonances
• Finite-temperature effects on the threshold cusps in $\pi \pi$ and $D{\bar{D}}^{\ast }$ scatterings from relativistic heavy-ion collisions