Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative

Abstract

We review the current status of the theory predictions for elastic $\mu$-$e$ scattering, describing the recent activities and future plans of the theory initiative related to the proposed MUonE experiment.

arXiv comment23 pages, 14 figures. Invited review for EPJ-C, identical to published version

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• The anomalous magnetic moment of the muon in the Standard Model: an update
• QED at NNLO with McMule
• Probing the muon g-2 anomaly with the Higgs boson at a Muon Collider
• Unveiling Hidden Physics at the LHC
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• Solving the electron and muon $g-2$ anomalies in $Z^{\prime }$ models
• Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
• Towards testing the magnetic moment of the tau at one part per million
• Muon-electron scattering at NNLO
• Bhabha scattering at NNLO with next-to-soft stabilisation
• Status of the MUonE experiment
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• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• Loop-tree duality from vertices and edges
• NNLO virtual and real leptonic corrections to muon-electron scattering
• Towards muon-electron scattering at NNLO
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• Chiral extrapolation of hadronic vacuum polarization
• The LBK theorem to all orders
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region
• Single ${\pi }^0$ production in $\mu e$ scattering at MUonE
• Lepton pair production at NNLO in QED with EW effects
• Atomic binding corrections for high energy fixed target experiments
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Lepton pair production in muon-nucleus scattering
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• Electroweak effects in polarized muon-electron scattering
• Recurrent form of the renormalization group relations for the higher-order hadronic vacuum polarization function perturbative expansion coefficients
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
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