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η-glueball mixing from N_f=2 lattice QCD

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arxiv 2205.12541 v2 pith:JX63BRC2 submitted 2022-05-25 hep-lat hep-exhep-ph

η-glueball mixing from N_f=2 lattice QCD

classification hep-lat hep-exhep-ph
keywords mixingmasseta-gdeterminedglueballlatticemathrmpseudoscalar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\mathrm{U_A(1)}$ anomaly.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scalar glueball-$s\bar{s}$ mixing in one flavor lattice QCD

    hep-lat 2026-07 conditional novelty 7.0

    A lattice QCD simulation with one dynamical strange quark finds a large scalar glueball-s̄s mixing angle |θ|≈40.7(2.7)° and mixing energy x_s≈239(24) MeV, implying strong glueball-strange-quark mixing.

  2. Highly improved staggered quarks on anisotropic lattices

    hep-lat 2026-06 unverdicted novelty 5.0

    Tuning study of aHISQ action on anisotropic lattices from 1 to 8, with comparison of fermion anisotropy tuning and an empirical model for pion taste splittings showing qualitatively different behavior versus naive sta...

  3. Glueballs, Constituent Gluons and Instantons

    hep-ph 2026-04 unverdicted novelty 5.0

    A two-gluon constituent model with instanton-induced mass and adjoint confinement predicts a compact scalar glueball of radius ~1/3 fm and an extended tensor state, matching quenched lattice results.