Elementary particle

Quantum mechanics

Gauge (firearms)

Lepton

Anomalous magnetic dipole moment

Nuclear physics

Particle physics

Archaeology

Hadron

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Standard Model (mathematical formulation)

Anomaly (physics)

Physics

Coupling constant

Muon

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The European Physical Journal C

We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the $Z$-boson mass. We include newest $e^+e^- \to$ hadrons cross-section data together with a phenomenological fit of the threshold region in the evaluation of the dispersion integrals. The precision in the individual datasets cannot be fully exploited due to discrepancies that lead to additional systematic uncertainty in particular between BABAR and KLOE data in the dominant $\pi^+\pi^-$ channel. For the muon $(g-2)/2$, we find for the lowest-order hadronic contribution $(694.0 \pm 4.0)\cdot10^{-10}$. The full Standard Model prediction differs by $3.3\sigma$ from the experimental value. The five-quark hadronic contribution to $\alpha(m_Z^2)$ is evaluated to be $(276.0\pm1.0)\cdot10^{-4}$.

A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\varvec{\alpha }({{\varvec{m}}}_{{\varvec{Z}}}^2)$$