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$\eta$-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

Xiangyu Jiang , Wei Sun , Feiyu Chen , Ying Chen , Ming Gong , Zhaofeng Liu , Renqiang Zhang This is my paper · ORCID
classification hep-lathep-exhep-ph
keywords mixingmasseta-gdeterminedglueballlatticemathrmpseudoscalar
verification ladder T0 review T1 audit T2 compute T3 formal

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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 $\mathrm{U_A(1)}$ anomaly.

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Forward citations

Cited by 6 Pith papers

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

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

    hep-lat 2026-07 conditional novelty 7.0 of 10

    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. Flavor mixing in charmonium and light mesons with optimal distillation profiles

    hep-lat 2025-02 conditional novelty 6.0 of 10

    In two lattice QCD ensembles, flavor-singlet charmonium and light-meson operators mix with each other and with gluonic operators, and adding a two-pion operator reveals an additional low-lying state.

  3. Form factors and phenomenology of $\boldsymbol{B_{(s)}}$ and $\boldsymbol{D_{(s)}}$ semileptonic decays to $\boldsymbol{\eta}$ and $\boldsymbol{\eta^\prime}$

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Updated light-cone sum rule form factors for B(s), D(s) to eta(eta') are fitted across the full q^2 range and used to extract V_ub, V_cs and V_cd with precision the authors call comparable to standard analyses.

  4. Comment on "Improved measurement of $\eta/\eta'$ mixing in $B_{(s)}^0\to J/\psi \eta^{(\prime)}$ decays"

    hep-ph 2025-07 conditional novelty 4.0 of 10

    A fit of the W-exchange annihilation amplitude to the new LHCb ratios removes the need for a large glueball component in eta' and improves the internal consistency of the eta-eta' mixing angle.

  5. Investigate the glueball-like particle $X(2370)$ in $B$ meson decays

    hep-ph 2025-01 conditional novelty 4.0 of 10

    Predictions for B to X(2370) branching fractions, around 10^-6 semileptonic and 10^-8 nonleptonic, suggest the glueball candidate is within Belle-II's reach.

  6. Update on Glueballs

    hep-lat 2025-02 unverdicted novelty 2.0 of 10

    A lattice QCD review concludes that, based on exploratory calculations, no scalar hadron below roughly 2 GeV appears to be predominantly a glueball.

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