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Hadronic Light-by-Light Contribution to the Muon $g-2$

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arxiv hep-ph/9505251 v2 pith:OTOLQJE5 submitted 1995-05-08 hep-ph

classification hep-ph
keywords light-by-lightcontributioncontributionsenergyhadronichighmuonalthough
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Mistake in FORTRAN program corrected. The numerical results and conclusions are changed significantly: We present a calculation of the hadronic light-by-light contributions to the muon $g-2$ in the $1/N_c$ expansion. We have used an Extended NJL model and introduced an explicit cut-off for the high energy region. We have then critically studied the relative size of the high energy contributions. Although we find them large we can give a conservative estimate of the light-by-light contribution to $a_\mu$ which is $-(11\pm5) \cdot 10^{-10}$. This is between two and three sigmas the expected experimental uncertainty at the forthcoming BNL experiment.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 155 citations worldwide. Full citation record

  1. 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.

  2. Field-theoretical approach to neutral pion contribution to muon $g-2$

    hep-ph 2025-01 reject novelty 5.0 of 10

    The neutral pion contribution to muon g-2 should contain only the on-shell pole term, with no principal-value part, because off-shell pions are not well-defined states in QCD.

  3. 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.

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