The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium

Abstract

Following updates in the compilation of $e^{+}{e}^{-}\to \mathrm{hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_{\mu }$) and tau lepton ($a_{\tau }$), to the ground-state hyperfine splitting of muonium and also updates the hadronic contributions to the running of the QED coupling at the mass scale of the $Z$ boson, $\alpha (M_Z^2)$. Combining the results for the hadronic vacuum polarisation contributions with recent updates for the hadronic light-by-light corrections, the electromagnetic and the weak contributions, the deviation between the measured value of $a_{\mu }$ and its Standard Model prediction amounts to $\Delta a_{\mu }=(28.02\pm 7.37)\times 10^{-10}$, corresponding to a muon $g-2$ discrepancy of $3.8\sigma$.

25 pages, 9 figures

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• Resolving Muon g-2 Anomaly With Partial Compositeness
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• Modeling the $R$-ratio and hadronic contributions to $g-2$ with a Treed Gaussian Process
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• Contributions to the Muon $g-2$ from a Three-Form Field
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• Unitarity bounds on extensions of Higgs sector
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Muon g-2 from Millicharged Hidden Confining Sector
• Round table on Standard Model Anomalies
• Running of the Electroweak Gauge Couplings from First Principles
• Leading fermionic three-loop corrections to electroweak precision observables
• Hadronic vacuum polarization to three loops in chiral perturbation theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Systematic analysis of search strategies for $L_{\mu }-L_{\tau }$ gauge bosons at Belle II
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Bootstrapping leading hadronic muon anomaly
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Leptoquarks with Exactly Stable Protons
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Electroweak input parameters
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Theory of Muon g-2
• Probing the muon $g-2$ with future beam dump experiments