Complete Tenth-Order QED Contribution to the Muon g-2

Abstract

We report the result of our calculation of the complete tenth-order QED terms of the muon g-2. Our result is a_μ^{(10)} = 753.29 (1.04) in units of (α/π)^5, which is about 4.5 s.d. larger than the leading-logarithmic estimate 663 (20). We also improved the precision of the eighth-order QED term of a_μ, obtaining a_μ^{(8)} = 130.8794(63) in units of (α/π)^4. The new QED contribution is a_μ(QED) = 116 584 718 951 (80) \times 10^{-14}, which does not resolve the existing discrepancy between the standard-model prediction and measurement of a_μ.

4 pages, 2 figures; corrected typos, added references; one table is added

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• Neutrinophilic DM annihilation in a model with $U(1{)}_{L_{\mu }-L_{\tau }}\times U(1{)}_H$ gauge symmetry
• Secluded Dark Sector and Muon $(g-2)$ in the Light of Fast Expanding Universe
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$: a dispersive approach
• Cold Dark Matter and Higgs Mass in the Constrained Minimal Supersymmetric Standard Model with Generalized Yukawa Quasi-Unification
• Update of the Electron and Muon g-Factors
• Collider probe of heavy additional Higgs bosons solving the muon $g-2$ and dark matter problems
• Muon anomalous magnetic moment and positron excess at AMS-02 in a gauged horizontal symmetric model
• Monopoles, Exotic states and Muon $g-2$ in TeV scale Trinification
• TASI 2020 Lectures on Precision Tests of the Standard Model
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Implications of the muon anomalous magnetic moment for the LHC and MUonE
• The Heavy Gluino in Natural No-Scale $\mathcal{F}$-$SU$(5)
• Probing the hyperbolic branch/focus point region of the constrained minimal supersymmetric standard model with generalized Yukawa quasi-unification
• Flavoured $(g-2{)}_{\mu }$ with Dark Lepton Seasoning
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Scalar leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly: bottom partner chiral enhancement case
• Heavy $Z^{\prime }$ Bosons in the Secluded $U(1{)}^{\prime }$ Model at Hadron Colliders
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• A Way of Fast Calculating Lepton Magnetic Moments in Quantum Electrodynamics
• Automatic calculation of two-loop ELWK corrections to the muon ($g$-2)
• A Flexible Divergence Elimination Method for Calculating Lepton Magnetic Moments in Quantum Electrodynamics
• Resolving Muon g-2 Anomaly With Partial Compositeness
• Muon $g-2$ Anomaly from Vector-like Leptons in a 2-Higgs-doublet + Scalar Singlet Model
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• Light stringy states and the $g-2$ of the muon
• Enhanced $B_q\to \ell {\ell }^{\prime }$ and $B\to (K,\pi )\ell {\ell }^{\prime }$ in light of $(g-2{)}_{\mu }$
• Gauged $L_e-L_{\mu }-L_{\tau }$ symmetry, fourth generation, neutrino mass and dark matter
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Machine-Learning Analysis of Radiative Decays to Dark Matter at the LHC
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Supersymmetry after the Higgs discovery and its LHC phenomenology
• Recent Developments of Muon g-2 from Lattice QCD
• The muon g-2: retrospective and future
• Inspiration from Intersecting D-branes: General Supersymmetry Breaking Soft Terms in No-Scale $\mathcal{F}$-$SU(5)$
• The Radiative Flavor Template at the LHC: Lepton non-universality and g-2
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Multi-charged TeV scale scalars and fermions in the framework of a radiative seesaw model
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• Primordial Synthesis: F-SU(5) SUSY Multijets, 145-150 GeV LSP, Proton & Rare Decays, 125 GeV Higgs Boson, and WMAP7
• On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2
• Leptonic probes of Alternative Left-Right Symmetric Models
• Radiative Muon Mass Models and $(g-2{)}_{\mu }$
• Low-energy hadronic cross sections measurements at BABAR and g-2 of the muon
• Off-mass-shell muon anomalous magnetic moment
• Naturalness in D-brane Inspired Models
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• Photon-pion transition form factor of two photon process at BESIII from light-cone quantum field theory
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
• Functional Epistemology "Nullifies" Dyson's Rebuttal of Perturbation Theory
• Muon $g-2$ Anomaly from a Massive Spin-2 Particle
• Flavour anomalies meet flavour symmetry
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM
• Contributions to the Muon $g-2$ from a Three-Form Field
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• A pedagogical review on muon $g-2$
• Review of recent leading-order hadronic vacuum polarization calculation
• Towards analytic $(g-2{)}_{\mu }$ at four loops
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• General No-Scale Supergravity: An $\mathcal{F}$-$SU(5)$ Tale
• Generalized quantum electrodynamics: one-loop correction
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Unitarity bounds on extensions of Higgs sector
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$
• Status of Leading-Order Hadronic Vacuum Polarization Dispersion Calculation
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Systematic analysis of search strategies for $L_{\mu }-L_{\tau }$ gauge bosons at Belle II
• Explaining AMS-02 positron excess and muon anomalous magnetic moment in dark left-right gauge model
• Subleading hadronic vacuum polarization contributions to muon $g-2$: ${\mu }^{+}{\mu }^{-}\to {\gamma }^{\ast }\to {\pi }^0{\gamma }^{\ast }$
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Theory and phenomenology of Dirac neutrinos
• Proton radius puzzle in Hamiltonian dynamics
• Probing new light scalars with the lepton anomalous magnetic moment and the weak equivalence principle violation
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• Theory of Muon g-2
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Probing the muon $g-2$ with future beam dump experiments
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$