$\eta$-glueball mixing from $N_f=2$ lattice QCD

Abstract

We perform the first lattice study on the mixing of the isoscalar pseudoscalar meson $\eta$ and the pseudoscalar glueball $G$ in the $N_f=2$ QCD at the pion mass $m_{\pi }\approx 350$ MeV. The $\eta$ mass is determined to be $m_{\eta }=714(6)(16)$ MeV. Through the Witten-Veneziano relation, this value can be matched to a mass value of $\sim 981$ MeV for the $\mathrm{SU}(3)$ counterpart of $\eta$. Based on a large gauge ensemble, the $\eta -G$ mixing energy and the mixing angle are determined to be $|x|=107(15)(2)$ MeV and $|\theta |=3.46(46{)}^{\circ }$ from the $\eta -G$ correlators that are calculated using the distillation method. We conclude that the $\eta -G$ mixing is tiny and the topology induced interaction contributes most of $\eta$ mass owing to the QCD ${\mathrm{U}}_{\mathrm{A}}(1)$ anomaly.

13 pages, 12 figures

References in corpus (14)

• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Towards the glueball spectrum from unquenched lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Finite volume QCD at fixed topological charge
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• $D_s\to \eta ,{\eta }^{\prime }$ semileptonic decay form factors with disconnected quark loop contributions
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• The Glueball content of ${\eta }_c$

Cited by in corpus (4)

• Is $f_2(1950)$ the tensor glueball?
• Decay properties of light $1^{-+}$ hybrids
• S-wave flavor-singlet meson mixing in QCD with light and charm quarks
• $\eta$ and ${\eta }^{\prime }$ mesons from $N_f=2+1$ lattice QCD at the physical point using topological charge operators