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

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Cited by in corpus (5)

• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• $W-$mass and Muon $g-2$ in Inert 2HDM Extended by Singlet Complex Scalar
• Status of ${\mathbb{Z}}_3$-NMSSM featuring a light bino-dominated LSP and a light singlet-like scalar under the LZ Experiment
• Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry
• Light right-handed Smuons at the LHC: Natural dark matter and $g_{\mu }-2$ in an unexplored realm of the pMSSM