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Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited

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arxiv hep-ph/0312226 v1 pith:XSQHHAK2 submitted 2003-12-16 hep-ph

classification hep-ph
keywords light-by-lightscatteringcontributionhadronicamplitudeanomalousconstraintsmagnetic
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss hadronic light-by-light scattering contribution to the muon anomalous magnetic moment a_\mu^{\rm lbl}, paying particular attention to the consistent matching between the short- and the long-distance behavior of the light-by-light scattering amplitude. We argue that the short-distance QCD imposes strong constraints on this amplitude overlooked in previous analyses. We find that accounting for these constraints leads to approximately 50 per cent increase in the central value of a_\mu^{\rm lbl}, compared to existing estimates. The hadronic light-by-light scattering contribution becomes a_\mu^{\rm lbl}=136(25) \times 10^{-11}, thereby shifting the Standard Model prediction closer to the experimental value.

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Cited by 15 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 623 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. Tensor meson transition form factors in holographic QCD and the muon $g-2$

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Holographic QCD predicts a positive tensor-meson contribution of about +11e-11 to the muon g-2, driven by a previously omitted doubly-virtual form factor.

  3. Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Using a dispersive formalism with experimental transition form factors and short-distance constraints, the authors obtain a_mu^HLbL = 101.9(7.9) x 10^-11, halving the previous uncertainty.

  4. Lepton $g-2$ non-universality of hadronic contributions and a sub-GeV window to New Physics

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    A rescaled difference a_μ-e of lepton g-2 values cancels short-distance effects and cuts hadronic vacuum polarization uncertainty by ~85%, offering a cleaner probe for sub-GeV new physics.

  5. Longitudinal short-distance constraints on hadronic light-by-light scattering and tensor meson contributions to the muon $g-2$

    hep-ph 2025-01 conditional novelty 6.0 of 10

    In hard-wall holographic QCD, the infinite tower of tensor mesons fills most of the missing symmetric longitudinal short-distance constraint and yields a total hadronic light-by-light contribution of about +11 x 10^-1...

  6. Dispersive analysis of the pion vector form factor without zeros

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Imposing the absence of complex zeros in the pion vector form factor reduces the dominant systematic uncertainty and makes the tensions between CMD-3 and other e+e- data sets appear sharper, including in the pion char...

  7. 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.

  8. Dispersion relation for hadronic light-by-light scattering: subleading contributions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A dispersive evaluation gives a_mu^HLbL subleading = 33.2(7.2) x 10^-11 and total = 101.9(7.9) x 10^-11.

  9. Hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon at the physical pion mass

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A lattice QCD calculation at the physical pion mass with staggered quarks yields a_mu^hlbl = 125.5(11.6)(0.4) x 10^-11, consistent with previous lattice and dispersive determinations.

  10. Superconnections in AdS/QCD and the hadronic light-by-light contribution to the muon $g-2$

    hep-ph 2024-11 accept novelty 6.0 of 10

    A scalar-extended Chern-Simons superconnection in hard-wall AdS/QCD improves f1-f1' mixing and photon rates while leaving the combined axial-vector plus excited-pseudoscalar HLBL contribution to muon g-2 stable near 32e-11.

  11. Constraints on the hadronic light-by-light tensor in corner kinematics for the muon $g-2$

    hep-ph 2024-11 conditional novelty 6.0 of 10

    In corner kinematics, the hadronic light-by-light tensor including gluonic corrections reduces at the studied order to a compact integrand depending only on axial-current form factors.

  12. Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

    hep-ph 2019-08 conditional novelty 6.0 of 10

    In the all-hard kinematic region of hadronic light-by-light scattering, the external-field OPE gives the perturbative quark loop as the leading term and a small 1/Q^4 magnetic-susceptibility correction.

  13. Global analysis of a minimally extended scotogenic model

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Numerical scan of minimally extended scotogenic model constrains fermionic DM to 120-350 GeV and CP-odd scalar to 350-600 GeV while noting DESI BAO data may rule out inverted neutrino hierarchy.

  14. 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.

  15. The anomalous magnetic moment of the muon in the Standard Model

    hep-ph 2020-06 accept novelty 2.0 of 10

    The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.

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