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Fermilab and Lattice QCD Calculations Resolve Long-Standing Muon Magnetic Moment Puzzle

Lattice QCD recalculations have aligned the Standard Model prediction with Fermilab's latest ultra-precise measurement of the muon's magnetic moment.

This experimental result sets an unparalleled benchmark for any proposed extensions to the Standard Model.
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The June 3, 2025 results from Fermilab represents analysis of the experiment’s best-quality data as a result of tweaks and enhancements to the experiment in 2023 that improved the quality of the muon beam and reduced uncertainties. Credit: Ryan Postel, Fermilab
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Overview

  • The Muon g−2 experiment at Fermilab has yielded a measurement of the muon's anomalous magnetic moment with an uncertainty of just 127 parts per billion using more than twice the data of its 2023 results.
  • Researchers have replaced experimental data-driven hadronic vacuum polarization inputs with ab initio lattice quantum chromodynamics calculations in the theoretical prediction.
  • The revised theoretical value now matches the experimental measurement, closing a discrepancy that persisted for nearly 25 years.
  • The agreement between theory and experiment affirms the Standard Model's description of muon magnetism and undermines numerous proposed theories for new physics.
  • Unresolved differences in the CMD-3 experiment's results continue to demand scrutiny, and upcoming measurements at the Japan Proton Accelerator Research Complex are planned to probe these anomalies further.