Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for a pseudoscalar glueball state

Qin, Wen; Zhao, Qiang; Zhong, X. C.

doi:10.1103/physrevd.97.096002

Cited by 22 publications

(20 citation statements)

References 94 publications

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“…We list our results at various scales in table 19 and compare to literature values in table 20, where the scale is not specified. These analyses are based on, e.g., QCD sum rule calculations [116,117], large-N c ChPT [9,97] and related state mixing models that include a pseudoscalar glueball [118,119]. We find agreement with the references that give error estimates, with the exception of [9].…”

Section: Pseudoscalar Gluonic and Fermionic Matrix Elementssupporting

confidence: 69%

“…While there is some tension for the combination m s H s η , most of our results agree with the estimate in the FKS approximation, where the pseudoscalar matrix element is taken in the SU(2) isospin limit, Feldmann [96] We again emphasize that the above combinations are renormalization group invariants. It is particularly interesting to inspect the ratio of the gluonic matrix elements that can be used to define a mixing angle in the gluonic sector [97], 0.023 0.058 Beneke and Neubert [9] 0.022(2) 0.057(2) Cheng et al [118] 0.026(28) 0.054(57) Singh [117] 0.0220(50) 0.037(10) Qin et al [119] 0.016 0.051 Ding et al [106] 0.024 0.051 this work at µ = 1GeV 0.0172( 10 Table 20. Literature values for the anomaly matrix elements in comparison with our results at various scales.…”

Section: Pseudoscalar Gluonic and Fermionic Matrix Elementsmentioning

confidence: 99%

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Masses and decay constants of the η and η′ mesons from lattice QCD

Bali

Braun

Collins

et al. 2021

J. High Energ. Phys.

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We determine the masses, the singlet and octet decay constants as well as the anomalous matrix elements of the η and η′ mesons in Nf = 2 + 1 QCD. The results are obtained using twenty-one CLS ensembles of non-perturbatively improved Wilson fermions that span four lattice spacings ranging from a ≈ 0.086 fm down to a ≈ 0.050 fm. The pion masses vary from Mπ = 420 MeV to 126 MeV and the spatial lattice extents Ls are such that LsMπ ≳ 4, avoiding significant finite volume effects. The quark mass dependence of the data is tightly constrained by employing two trajectories in the quark mass plane, enabling a thorough investigation of U(3) large-Nc chiral perturbation theory (ChPT). The continuum limit extrapolated data turn out to be reasonably well described by the next-to-leading order ChPT parametrization and the respective low energy constants are determined. The data are shown to be consistent with the singlet axial Ward identity and, for the first time, also the matrix elements with the topological charge density are computed. We also derive the corresponding next-to-leading order large-Nc ChPT formulae. We find F8 = 115.0(2.8) MeV, θ8 = −25.8(2.3)°, θ0 = −8.1(1.8)° and, in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme for Nf = 3, F0(μ = 2 GeV) = 100.1(3.0) MeV, where the decay constants read $$ {F}_{\eta}^8 $$ F η 8 = F8 cos θ8, $$ {F}_{\eta \prime}^8 $$ F η ′ 8 = F8 sin θ8, $$ {F}_{\eta}^0 $$ F η 0 = −F0 sin θ0 and $$ {F}_{\eta \prime}^0 $$ F η ′ 0 = F0 cos θ0. For the gluonic matrix elements, we obtain aη(μ = 2 GeV) = 0.0170(10) GeV3 and aη′(μ = 2 GeV) = 0.0381(84) GeV3, where statistical and all systematic errors are added in quadrature.

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Section: Pseudoscalar Gluonic and Fermionic Matrix Elementssupporting

confidence: 69%

Section: Pseudoscalar Gluonic and Fermionic Matrix Elementsmentioning

confidence: 99%

Masses and decay constants of the η and η′ mesons from lattice QCD

Bali

Braun

Collins

et al. 2021

J. High Energ. Phys.

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“…This discrepancy cannot be easily mediated by considering the glueballmeson mixing in the presence of dynamical quarks. It is interesting to notice that some phenomenological studies advocate η(1405) and η(1495) be the same state which appears differently in different final states due to some dynamical mechanism [12]. If this is the case, then there is no redundant pseudoscalar meson mass region and subsequently no need for an additional degree of freedom such as a glueball in 1.5 GeV mass region.…”

Section: Introductionmentioning

confidence: 98%

Study of the pseudoscalar glueball in J/ψ radiative decays

et al. 2019

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We aim to explore the production rate of the pseudoscalar glueball in J/ψ radiative decay by lattice QCD in quenched approximation. The calculation is performed on three anisotropic lattices with the spatial lattice spacing ranging from 0.222(2) fm to 0.110(1) fm. As a calibration of some systematical uncertainties, we first extract the M 1 form factorV (0) of the process J/ψ → γηc and get the result V (0) = 1.933(41) in the continuum limit, which gives the partial width Γ(J/ψ → γηc) = 2.47(11) keV. These results are in agreement with that of previous lattice studies. As for the pseudoscalar glueball G 0 −+ , its mass is derived to be 2.395(14) GeV, and the form factorV (0) of the process J/ψ → γG 0 −+ is determined to beV (0) = 0.0246(43) after continuum extrapolation. Finally, the production rate of the pseudoscalar glueball is predicted to be 2.31(90) × 10 −4 , which is much smaller than that of conventional light qq η states. After the subtraction of the phase space factor, the couplings of J/ψXγ are similar where X stands for η states and the pseudoscalar glueball. Possibly, the UA(1) anomaly plays an important role for the large couplings of gluons to the flavor singlet η states in J/ψ radiative decays.

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“…In Ref. [40] a revisit of the mixing scheme of Refs. [28,38] was carried out, and the numerical results of Refs.…”

Section: Introductionmentioning

confidence: 99%

Internal particle width effects on the triangle singularity mechanism in the study of the η(1405) and η(1475) puzzle

Zhao

2019

Phys. Rev. D

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In this article, the analyticity of triangle loop integral with complex masses of internal particles is discussed in a new perspective, based on which we obtain the explicit width dependence of the absorptive part of the triangle amplitude. We reanalyze the decay pattern of ηð1405=1475Þ with the width effects included in the triangle singularity (TS) mechanism. Based on the present experimental information, we provide a selfconsistent description of the KKπ, ηππ, and 3π decay channels for ηð1405=1475Þ. Our results confirm the claim that the TS mechanism plays a decisive role in the understanding of the ηð1405Þ and ηð1475Þ puzzle. Namely, the observed differences of η resonances within the mass region of 1.40-1.48 GeV are originated from the same state. For the isospin violated process J=ψ → γηð1405=1475Þ → f 0 ð980Þπ → 3π, we identify an additional contribution to the a 0 ð980Þ − f 0 ð980Þ mixing via the TS mechanism.

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Revisiting the pseudoscalar meson and glueball mixing and key issues in the search for a pseudoscalar glueball state

Cited by 22 publications

References 94 publications

Masses and decay constants of the η and η′ mesons from lattice QCD

Masses and decay constants of the η and η′ mesons from lattice QCD

Study of the pseudoscalar glueball in J/ψ radiative decays

Internal particle width effects on the triangle singularity mechanism in the study of the η(1405) and η(1475) puzzle

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