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\eta and \eta' transition form factors from rational approximants

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arxiv 1307.2061 v3 pith:PLIIWUG7 submitted 2013-07-08 hep-ph

classification hep-ph
keywords factorsformapproximantsparametersrationaltransitionanalyzedanomalous
verification ladder T0 review T1 audit T2 compute T3 formal

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The \eta and \eta' transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form factors as well as their values at zero and infinity are extracted from experimental data. The impact of these results on the mixing parameters of the \eta-\eta' system and the pseudoscalar-exchange contributions to the hadronic light-by-light scattering part of the anomalous magnetic moment are also discussed.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 71 citations worldwide. Full citation record

  1. Precision evaluation of the $\eta$- and $\eta'$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon

    hep-ph 2024-11 accept novelty 8.0 of 10

    A new dispersive analysis of the eta and eta-prime transition form factors gives a_mu(eta-pole) = 14.7(9) x 10^-11 and a_mu(eta'-pole) = 13.5(7) x 10^-11, with combined pseudoscalar poles at 91.2(+2.9,-2.4) x 10^-11.

  2. Analytically Consistent Reconstruction of Finite Data Using Pad\'e Sequences

    physics.data-an 2026-08 conditional novelty 6.0 of 10

    Tracking how spurious pole-zero pairs move across Padé approximation orders lets an iterative algorithm flag inconsistent data points and reconstruct the underlying function while preserving genuine analytic structures.

  3. Radiative decays $J/\psi,\,\psi(2S)\rightarrow\gamma\eta^{(\prime)}$ in perturbative QCD with relativistic corrections

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Order-q² relativistic corrections in pQCD roughly double J/ψ→γη(') rates and favor a smaller mixing angle, while ψ(2S) rates overshoot data and may require coherent ηc mixing.

  4. Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.

  5. Hidden-sectors search and probe of discrete symmetries at the REDTOP experiment

    hep-ex 2026-06 unverdicted novelty 4.0 of 10

    REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.

  6. Lepton anomalous magnetic moments: Theory

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.

  7. The role of Pad\'e and D-Log Pad\'e approximants in the context of the MUonE Experiment

    hep-ph 2024-11 conditional novelty 2.0 of 10

    Pade and D-Log approximants recover the hadronic vacuum polarization contribution to the muon anomalous magnetic moment from simulated MUonE data to within 0.06%.

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