Muon $g-2$: Lattice calculations of the hadronic vacuum polarization

Abstract

The experimental uncertainty on the anomalous magnetic moment of the muon has been significantly reduced with the recent results of the Fermilab $g-2$ experiment, and a further reduction is expected in the near future. The precision of the Standard Model prediction needs to improve correspondingly to increase the sensitivity of tests for physics beyond the Standard Model. The largest uncertainty is due to contributions from the strong interaction, in particular the hadronic vacuum polarization (HVP) contribution. Lattice QCD calculations have the potential to provide precise ab initio predictions of the HVP contribution. We review the state of lattice QCD calculations, focusing on the dominant sources of uncertainty that need to be controlled to provide results with sub-percent precision.

24 pages, 7 figures, Plenary talk at the 40th International Symposium on Lattice Field Theory (Lattice 2023); updated references and corrected a typo

References in corpus (12)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
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• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
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• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Quark disconnected diagrams in chiral perturbation theory
• A local factorization of the fermion determinant in lattice QCD
• Vector two-point functions in finite volume using partially quenched chiral perturbation theory
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization

Cited by in corpus (1)

• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization