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Hadronic light-by-light contribution to (g-2)_μ from lattice QCD: a complete calculation

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arxiv 2104.02632 v1 pith:7MOFOS4X submitted 2021-04-06 hep-lat hep-ph

Hadronic light-by-light contribution to (g-2)_μ from lattice QCD: a complete calculation

classification hep-lat hep-ph
keywords hadroniccontributionlatticelight-by-lightcalculationcurrentmuonadding
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the hadronic light-by-light scattering contribution to the muon $g-2$ from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features evaluations of all possible Wick-contractions of the relevant hadronic four-point function and incorporates several different pion masses, volumes, and lattice-spacings. We obtain a value of $a_\mu^{\text{Hlbl}} = 106.8(14.7) \times 10^{-11}$ (adding statistical and systematic errors in quadrature), which is consistent with current phenomenological estimates and a previous lattice determination. It now appears conclusive that the hadronic light-by-light contribution cannot explain the current tension between theory and experiment for the muon $g-2$.

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Cited by 7 Pith papers

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

  1. Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II

    hep-ph 2025-10 unverdicted novelty 7.0

    Light new particles generate asymmetries in e+e- to tau+tau- that allow model-dependent constraints on tau dipole moments, including non-zero effects without electron polarization via imaginary parts.

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

    hep-lat 2026-07 unverdicted novelty 6.0

    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.

  3. 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.

  4. Light new physics and the $\tau$ lepton dipole moments

    hep-ph 2025-11 unverdicted novelty 6.0

    This work provides a comprehensive analysis of light new physics contributions to tau lepton dipole moments, detailing interpretations of asymmetry measurements for spin-0 and spin-1 bosons, their decoupling to the EF...

  5. Pion Transition Form Factor in Lattice QCD

    hep-lat 2026-07 conditional novelty 5.0

    The disconnected quark-loop contribution to the pion transition form factor has the same sign as the connected contribution, at roughly 1% of its size, as calculated on one N_f=2+1 clover ensemble.

  6. 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}.

  7. Muon lifetime and Fermi constant: an update

    hep-ph 2026-07 accept novelty 4.5

    Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.