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arxiv: 1801.07224 · v1 · submitted 2018-01-22 · ✦ hep-lat · hep-ph

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Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

T. Blum , P.A. Boyle , V. G\"ulpers , T. Izubuchi , L. Jin , C. Jung , A. J\"uttner , C. Lehner
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A. Portelli J.T. Tsang
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classification ✦ hep-lat hep-ph
keywords latticecalculationcontributionanomaloushadronicmagneticmomentmuon
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We present a first-principles lattice QCD+QED calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm quarks including QED and strong isospin breaking effects is found to be $a_\mu^{\rm HVP~LO}=715.4(16.3)(9.2) \times 10^{-10}$, where the first error is statistical and the second is systematic. By supplementing lattice data for very short and long distances with experimental R-ratio data using the compilation of Ref. [1], we significantly improve the precision of our calculation and find $a_\mu^{\rm HVP~LO} = 692.5(1.4)(0.5)(0.7)(2.1) \times 10^{-10}$ with lattice statistical, lattice systematic, R-ratio statistical, and R-ratio systematic errors given separately. This is the currently most precise determination of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. In addition, we present the first lattice calculation of the light-quark QED correction at physical pion mass.

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Cited by 4 Pith papers

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

  1. Lattice determination of the higher-order hadronic vacuum polarization contribution to the muon $g-2$

    hep-lat 2026-04 unverdicted novelty 8.0

    Lattice QCD gives a_μ^{hvp,nlo} = (-101.57 ± 0.60) × 10^{-11} at 0.6% precision, 1.4σ below the 2025 White Paper estimate and in 4.6σ tension with pre-CMD-3 data-driven results.

  2. Muon $g$$-$2: correlation-induced uncertainties in precision data combinations

    hep-ph 2026-04 unverdicted novelty 6.0

    A general framework quantifies correlation-induced uncertainties in precision data combinations and applies it to e+e- to hadrons cross sections for muon g-2 HVP determinations.

  3. The anomalous magnetic moment of the muon in the Standard Model: an update

    hep-ph 2025-05 accept novelty 5.0

    The updated SM prediction for the muon anomalous magnetic moment is 116592033(62)×10^{-11}, showing no tension with the experimental average of 38(63)×10^{-11}.

  4. Comparison of the hadronic vacuum polarization between hadronic $\tau$-decay data and lattice QCD

    hep-ph 2026-05 unverdicted novelty 4.0

    Lattice QCD and tau-decay dispersive calculations of isospin-one HVP generally agree, except for a significant difference in the 2π−π+π0 four-pion mode contribution to window quantities.