Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region

Abstract

We present simple analytic expressions to compute the hadronic vacuum polarization contribution to the muon $g$-2 in the space-like region up to next-to-next-to-leading order. These results can be employed in lattice QCD calculations of this contribution as well as in space-like determinations based on scattering data, like that expected from the proposed MUonE experiment at CERN.

arXiv comment14 pages, 6 figures. v2: NNLO results presented. v3: minor changes

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• The anomalous magnetic moment of the muon in the Standard Model: an update
• Muon-electron scattering at NNLO
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Status of the MUonE experiment
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• Lepton pair production in muon-nucleus scattering
• Disperon QED
• Theory for the MUonE experiment
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains