The Standard Model Prediction of the Muon Anomalous Magnetic Moment

Abstract

This article reviews and updates the Standard Model prediction of the muon g-2. QED, electroweak and hadronic contributions are presented, and open questions discussed. The theoretical prediction deviates from the present experimental value by 2-3 standard deviations, if e+e- annihilation data are used to evaluate the leading hadronic term.

30 pages, 8 figures. v2: Updated version to appear in J.Phys.G. Comments and references added, typo corrected in eq.(17)

References in corpus (59)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Search for the Standard Model Higgs Boson at LEP
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• ππscattering
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Updated Estimate of the Muon Magnetic Moment Using Revised Results from e+e- Annihilation
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory approach
• Confronting Spectral Functions from e+e- Annihilation and tau Decays: Consequences for the Muon Magnetic Moment
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )$ and extraction of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-})$ below 1 {\rm GeV} with the KLOE detector
• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• Radiative return at NLO and the measurement of the hadronic cross-section in electron-positron annihilation
• The hadronic contributions to the anomalous magnetic moment of the muon
• Comment on the Pion Pole Part of the Light-by-Light Contribution to the Muon $g-2$
• Study of e+e- --> pi+ pi- pi0 process using initial state radiation with BABAR
• Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
• Electroweak Hadronic Contributions to the muon g-2
• The SM prediction of g-2 of the muon
• Isospin Violation and the Magnetic Moment of the Muon
• Radiative tau decay and the magnetic moment of the muon
• Hadronic Light-by-Light Contribution to Muon g-2 in Chiral Perturbation Theory
• Precision Determination of the Pion Form Factor and Calculation of the Muon $g-2$
• Improved ${\alpha }^4$ Term of the Muon Anomalous Magnetic Moment
• All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams
• Hadronic Contributions to the Photon Vacuum Polarization and their Role in Precision Physics
• Muon and tau anomalies updated
• Pion Pair Production with Higher Order Radiative Corrections in Low Energy e+e- Collisions
• An Approach Toward the Numerical Evaluation of Multi-Loop Feynman Diagrams
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• The radiative return at phi- and B-factories: FSR at next-to-leading order
• Revised ${\alpha }^4$ term of lepton $g-2$ from the Feynman diagrams containing an internal light-by-light scattering subdiagram
• On the theoretical uncertainties in the muon anomalous magnetic moment
• Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD
• Algebraic-Numerical Evaluation of Feynman Diagrams: Two-Loop Self-Energies
• Comment on the sign of the pseudoscalar pole contribution to the muon g-2
• Electromagnetic form factor of the pion
• Measuring the FSR--inclusive pi+pi- cross section
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
• Simple Formulae for Sin^2 theta_eff^lept, M_W, Gamma_l, and their Physical Applications
• Two-Loop Tensor Integrals in Quantum Field Theory
• Theoretical precision in estimates of the hadronic contributions to (g-2)_mu and alpha_QED(M_Z)
• The role of sigma(e+e- -> hadrons) in precision tests of the Standard Model
• Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)
• Spectral functions from hadronic tau decays and QCD
• The Hadronic Contribution to the Muon g-2
• Status of the Hadronic Contribution to the Muon (g-2) Value
• Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment: an update with Kogut-Susskind fermions
• Is the Difference Between the Pion Form Factor Measured in e+e- Annihilations and tau- Decays Due to an H- Propagator?
• Triangle Anomaly and the Muon g-2

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• Constrained Supersymmetric Flipped SU(5) GUT Phenomenology
• Analytical eighth-order light-by-light QED contributions from leptons with heavier masses to the anomalous magnetic moment of electron
• Hadronic vacuum polarization function within dispersive approach to QCD
• Some model-independent phenomenological consequences of flexible brane worlds
• Reconsidered estimates of the 10th order QED contributions to the muon anomaly
• Phenomenology of a Fluxed MSSM
• Feasibility of tau lepton electromagnetic dipole moments measurement using bent crystal at the LHC
• Models of Isospin Breaking in the Pion Form Factor: Consequences for the Determination of Pi_{ρω}(m_rho^2) and (g-2)_mu/2
• Search for the anomalous electromagnetic moments of the tau lepton through electron-photon scattering at the CLIC
• Flavour Theory: 2009
• On the low-energy behavior of the Adler function
• Status of the Standard Model Prediction of the Muon g-2
• Isospin Breaking in the Relation Between the tau-->nu_tau pi pi and e^+e^- -->pi^+ pi^- Versions of |F_π(s)|^2$ and Implications for (g-2)_mu
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• Low-Energy Supersymmetry Breaking from String Flux Compactifications: Benchmark Scenarios
• Prospects for e+e- physics at Frascati between the phi and the psi
• Constraints on Supersymmetric Flavour Models from b->s gamma
• Analysis of the anomalous electromagnetic moments of the tau lepton in $\gamma p$ collisions at the LHC
• Lepton Flavour Violation in Composite Higgs Models
• Constraints on the I=1 hadronic tau decay and e^+e^- --> hadrons data sets and implications for (g-2)_mu
• The Hadronic Contribution to the Muon Anomalous Magnetic Moment and to the Running Electromagnetic Fine Structure Constant at MZ - Overview and Latest Results
• The three-loop QED contributions to the $g-2$ of charged leptons with two internal fermion loops and a class of Kampé de Fériet series
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• From Little Bangs to the Big Bang
• Production of Long-Lived Sleptons at LHC
• The muon g-2 discrepancy: new physics or a relatively light Higgs?
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• Correlation Between Muon $g-2$ and $\mu \to e\gamma$
• Tau Physics 2006: Summary & Outlook
• B_s --> mu+ mu- decay in the R-parity violating minimal supergravity
• The improved 10th order QED expression for a_μ : new results and related estimates
• Probe of New Physics using Precision Measurement of the Electron Magnetic Moment
• The muon g-2 in a SU(7) left-right symmetric model with mirror fermions
• Testing the CKM Picture of Flavour and CP Violation in Rare K and B Decays and Particle-Antiparticle Mixing
• Lepton electric and magnetic dipole moments via lepton flavor violating spin-1 unparticle interactions
• Two-loop Vertices with Vacuum Polarization Insertion
• Constraints on exotic lepton doublets with minimal coupling to the standard model
• Hadronic contributions to electroweak observables within DPT
• Positronium contribution to the electron g-2
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Light Superpartners at Hadron Colliders
• Physics Beyond the Standard Model: Focusing on the Muon Anomaly
• The lifetime of unstable particles in electromagnetic fields
• The electron and neutron EDM from supersymmetric see-saw thresholds
• Large tan(beta) effects in flavour physics
• Present Status of the Muon Anomalous Magnetic Moment
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