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Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment

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arxiv hep-lat/0212018 v3 pith:H35N6SQZ submitted 2002-12-11 hep-lat hep-ph

T. Blum This is my paper · ORCID
classification hep-lathep-ph
keywords hadroniclatticeaccuracyanomalouscalculationcontributionlowestmagnetic
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a quenched lattice calculation of the lowest order (alpha^2) hadronic contribution to the anomalous magnetic moment of the muon which arises from the hadronic vacuum polarization. A general method is presented for computing entirely in Euclidean space, obviating the need for the usual dispersive treatment which relies on experimental data for e^+e^- annihilation to hadrons. While the result is not yet of comparable accuracy to those state-of-the-art calculations, systematic improvement of the quenched lattice computation to this level of accuracy is straightforward and well within the reach of present computers. Including the effects of dynamical quarks is conceptually trivial, the computer resources required are not.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

    hep-lat 2026-07 unverdicted novelty 6.0 of 10

    A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.

  2. Spectral densities from Euclidean-time lattice correlation functions

    hep-lat 2025-01 conditional novelty 5.0 of 10

    A Tikhonov-regularized inverse Laplace transform built on the Mellin basis extracts spectral densities from Euclidean correlators, with an exact discrete-lattice version and controlled smearing kernels.

  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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