We summarize recent developments in the Standard-Model evaluation of the anomalous magnetic moment of the muon a_μ, both in the hadronic-light-by-light and hadronic-vacuum-polarization contributions. The current state of the latter is puzzling as we are confronted with multiple discrepancies that are not yet understood. We present updated fits of a dispersive representation of the pion vector form factor to the new CMD-3 data set. We also quantify the tensions with the other high-statistics e⁺e⁻→π⁺π⁻ experiments in the contribution to a_μ in the energy range up to $1$ GeV, as well as in the corresponding contribution to the intermediate Euclidean window.
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Hoferichter et al. (2024) studied this question.
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