Glueballs at Physical Pion Mass

Chen, Feiyu; Jiang, X. S.; Chen, Ying; Liu, Keh-Fei; Sun, Wei; Yang, Yi-Bo

doi:10.48550/arxiv.2111.11929

“…[113,114]). Hence, to suppress the potentially large glueball contribution of the sum rules, we will in this work make use of the smallness of the quark mass dependence of this state, which is confirmed in recent lattice QCD calculations [115][116][117][118]. Specifically, we will study the quark mass dependence of the correlator by expanding it up to the second order in the up and down quark masses m u and m d and applying m 2…”

Section: Formulation Of the Sum Rulesmentioning

confidence: 90%

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Osamura,

Gubler,

Yamanaka

2022

Preprint

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The contribution of the CP violating three-gluon Weinberg operator, 1 3! w f abc νραβ G a µν G b αβ G cµ ρ , to the atomic and nuclear EDMs is estimated using QCD sum rules. After calculating the transition matrix element between the pion and the vacuum through the Weinberg operator, we obtain the long-range CP-odd nuclear force by determining the isovector CP-odd pion-nucleon vertex, using chiral perturbation theory at NLO. The EDMs of 199 Hg, 129 Xe, 225 Ra, 2 H, and 3 He are finally given including comprehensive uncertainty analysis. While the leading contribution of the 199 Hg EDM is given by the intrinsic nucleon EDM, that of 129 Xe atom may be dominated by the one-pion exchange CP-odd nuclear force generated by the Weinberg operator. From current experimental data of the 199 Hg atomic EDM, we obtain an upper limit on the Weinberg operator magnitude of |w| < 4×10 −10 GeV −2 if we assume that it is the only source of CP violation at the scale µ = 1 TeV.

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“…[113,114]). Hence, to suppress the potentially large glueball contribution of the sum rules, we will in this work make use of the smallness of the quark mass dependence of this state, which is confirmed in recent lattice QCD calculations [115][116][117][118]. Specifically, we will study the quark mass dependence of the correlator by expanding it up to the second order in the up and down quark masses m u and m d and applying m 2 − ∂ ∂m 2…”

Section: ⇢(S)mentioning

confidence: 91%

Contribution of the Weinberg-type operator to atomic and nuclear electric dipole moments

Osamura

¹

,

Gubler

²

,

Yamanaka

³

2022

J. High Energ. Phys.

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The contribution of the CP violating three-gluon Weinberg operator, $$ \frac{1}{3!}w{f}^{abc}{\epsilon}^{\nu \rho \alpha \beta}{G}_{\mu \nu}^a{G}_{\alpha \beta}^b{G}_{\rho}^{c\mu} $$ 1 3 ! w f abc ϵ νραβ G μν a G αβ b G ρ cμ , to the atomic and nuclear EDMs is estimated using QCD sum rules. After calculating the transition matrix element between the pion and the vacuum through the Weinberg operator, we obtain the long-range CP-odd nuclear force by determining the isovector CP-odd pion-nucleon vertex, using chiral perturbation theory at NLO. The EDMs of 199Hg, 129Xe, and 225Ra atoms, as well as those of 2H and 3He nuclei are finally given including comprehensive uncertainty analysis. While the leading contribution of the 199Hg EDM is given by the intrinsic nucleon EDM, that of 129Xe atom may be dominated by the one-pion exchange CP-odd nuclear force generated by the Weinberg operator. From current experimental data of the 199Hg atomic EDM, we obtain an upper limit on the Weinberg operator magnitude of |w| < 4 × 10−10GeV−2 if we assume that it is the only source of CP violation at the scale μ = 1 TeV.

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“…The mixing of the J/ψ with a nearby glueball has been proposed [23] to explain the "ρπ puzzle" and the scheme has been extended to the η c case [13,14]. As the pseudoscalar glueballs are expected to be close to η c or η c (2S) [24,25], the mixing between them may also play important role in the charmonium decays. The fact that all the known hadronic decays of η c (2S) have rates lower than η c decays suggests abnormal dynamics in either η c (2S) or η c decays, and these may be investigated at future experiments like BESIII [26], Belle II [27], and LHCb [28] in charmonium decays, two-photon processes, and B decays.…”

Section: Table I and Figurementioning

confidence: 99%

New puzzle in charmonium decays

Wang,

Yuan

2021

Preprint

0

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By analyzing existing data on pseudoscalar charmonium decays, we obtain the ratio of the branching fractions of η c (2S) and η c decays into ten different final states with light hadrons. For the first time, we test the two existing theoretical predictions of these decays, and find that the experimental data are significantly different from both of them. The lack of observation of any decay mode with higher rate in η c (2S) than in η c decays suggests very unusual decay dynamics in pseudoscalar charmonium decays to be identified. We also report the first model-independent evaluation of the partial width of η c (2S) → γγ (2.21 +0.88 −0.64 keV) and improved determination of that of η c → γγ (5.43 +0.41 −0.38 keV). The latter shows a tension with the most recent lattice QCD calculation.

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Glueballs at Physical Pion Mass

Cited by 8 publications

References 14 publications

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments

Contribution of the Weinberg-type operator to atomic and nuclear electric dipole moments

New puzzle in charmonium decays

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