Refinements in electroweak contributions to the muon anomalous magnetic moment

Abstract

Effects of strong interactions on the two loop electroweak radiative corrections to the muon anomalous magnetic moment, $a_{\mu }=(g_{\mu }-2)/2$, are examined. Short-distance logs are shown to be unaffected. Computation of long-distance contributions is improved by use of an effective field theory approach that preserves the chiral properties of QCD and accounts for constraints from the operator product expansion. Small, previously neglected, two loop contributions, suppressed by a $1-4{\sin }^2{\theta }_W$ factor, are computed and the complete three loop leading short-distance logs are reevaluated. These refinements lead to a reduction in uncertainties and a slight shift in the total electroweak contribution to $a_{\mu }^{\mathrm{EW}}=154(1)(2)\times 10^{-11}$ where the first error corresponds to hadronic uncertainties and the second is primarily due to the allowed Higgs mass range.

Revtex, 35 pages, 9 figures. Minor corrections in a few equations, note on comparison of OPE analyses is added

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• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• The SM prediction of g-2 of the muon

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• 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
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Resolving Muon g-2 Anomaly With Partial Compositeness
• Machine-Learning Analysis of Radiative Decays to Dark Matter at the LHC
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• Explaining the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies in $Z^{\prime }$ scenarios with top-FCNC couplings
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$
• 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
• The Radiative Flavor Template at the LHC: Lepton non-universality and g-2
• Radiative Muon Mass Models and $(g-2{)}_{\mu }$
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Off-mass-shell muon anomalous magnetic moment
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2
• Leptonic probes of Alternative Left-Right Symmetric Models
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• A Guide to Flavour Changing Neutral Currents in the Littlest Higgs Model with T-Parity
• Supersymmetry with a Heavy Lightest Supersymmetric Particle
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• GM2Calc-2 for the 2HDM
• Status of Leading-Order Hadronic Vacuum Polarization Dispersion Calculation
• Systematic analysis of search strategies for $L_{\mu }-L_{\tau }$ gauge bosons at Belle II
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• A pedagogical review on muon $g-2$
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Falsifiable analog model predictions of $W$ mass in CDF II and ATLAS
• Unitarity bounds on extensions of Higgs sector
• Electroweak fermion triangle loop contributions to the muon anomalous magnetic moment revisited
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Theory of Muon g-2
• Non-renormalization of the full <VVA> correlator at two-loop order
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Leptoquarks with Exactly Stable Protons
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• QCD calculations of radiative heavy meson decays with subleading power corrections
• SMEFT deviations
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• 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