Challenges for an axion explanation of the muon $g-2$ measurement

Abstract

The discrepancy between the muon $g-2$ measurement and the Standard Model prediction points to new physics around or below the weak scale. It is tantalizing to consider the loop effects of a heavy axion (in the general sense, also known as an axion-like particle) coupling to leptons and photons as an explanation for this discrepancy. We provide an updated analysis of the necessary couplings, including two-loop contributions, and find that the new physics operators point to an axion decay constant on the order of 10s of GeV. This poses major problems for such an explanation, as the axion couplings to leptons and photons must be generated at low scales. We outline some possibilities for how such couplings can arise, and find that these scenarios predict new charged matter at or below the weak scale and new scalars can mix with the Higgs boson, raising numerous phenomenological challenges. These scenarios also all predict additional contributions to the muon $g-2$ itself, calling the initial application of the axion effective theory into question. We conclude that there is little reason to favor an axion explanation of the muon $g-2$ measurement relative to other models postulating new weak-scale matter.

arXiv comment20 pages + 2 appendices and bibliography; 6 figures. Version 2: improvements based on comments and corrections from feedback as well as more extensive references. Acknowledgments updated accordingly

References in corpus (62)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Theory and phenomenology of two-Higgs-doublet models
• The anomalous magnetic moment of the muon in the Standard Model
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Monodromy in the CMB: Gravity Waves and String Inflation
• Measurement of the fine-structure constant as a test of the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Collider Probes of Axion-Like Particles
• Black Holes and Large N Species Solution to the Hierarchy Problem
• Update of the global electroweak fit and constraints on two-Higgs-doublet models
• Exotic Decays of the 125 GeV Higgs Boson
• Cavity Control of a Single-Electron Quantum Cyclotron:\\Measuring the Electron Magnetic Moment
• A Clockwork Axion
• Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry
• The Low-Energy Effective Theory of Axions and ALPs
• Natural inflation with multiple sub-Planckian axions
• Limiting two-Higgs-doublet models
• Axion-like particles, lepton-flavor violation and a new explanation of $a_{\mu }$ and $a_e$
• When radiative corrections are finite but undetermined
• Higgs Boson Decays to CP-odd Scalars at the Tevatron and Beyond
• Contributions of axion-like particles to lepton dipole moments
• Hunting for ALPs with Lepton Flavor Violation
• The photo-philic QCD axion
• High Energy Leptonic Collisions and Electroweak Parton Distribution Functions
• Vector boson fusion at multi-TeV muon colliders
• Photoproduction of axion-like particles
• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• Fusing Vectors into Scalars at High Energy Lepton Colliders
• WIMPs at High Energy Muon Colliders
• Running in the ALPs
• A Guaranteed Discovery at Future Muon Colliders
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Measuring the quartic Higgs self-coupling at a multi-TeV muon collider
• Experimental Targets for Photon Couplings of the QCD Axion
• Limits on Vectorlike Leptons from Searches for Anomalous Production of Multi-Lepton Events
• Consistent treatment of axions in the weak chiral Lagrangian
• The simple interpretations of lepton anomalies in the lepton-specific inert two-Higgs-doublet model
• Line Operators in the Standard Model
• Hunting wino and higgsino dark matter at the muon collider with disappearing tracks
• Leptonic Precision Test of Leptophilic Two-Higgs-Doublet Model
• Exclusive Signals of an Extended Higgs Sector
• Visible Cascade Higgs Decays to Four Photons at Hadron Colliders
• Revisiting lepton-specific 2HDM in light of muon g-2 anomaly
• Probing $e\mu$ flavor-violating ALP at Belle II
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• Obscure Higgs boson at Colliders
• Probing electroweak phase transition with multi-TeV muon colliders and gravitational waves
• Discovering the Higgs with Low Mass Muon Pairs
• Lepton Flavor Violation Induced by a Neutral Scalar at Future Lepton Colliders
• Radiative Return for Heavy Higgs Boson at a Muon Collider
• LHC $\tau$-rich Tests of Lepton-specific 2HDM for $(g-2{)}_{\mu }$
• Invisible decays of axion-like particles: constraints and prospects
• Selective enhancement of the QCD axion couplings
• A light CP-odd Higgs boson and the muon anomalous magnetic moment
• Highly enhanced contributions of heavy Higgs bosons and new leptons to muon $g-2$ and prospects at future colliders
• Can the Higgs sector contribute significantly to the muon anomalous magnetic moment?
• Xenon1T excess from electron recoils of non-relativistic Dark Matter
• Axion Periodicity and Coupling Quantization in the Presence of Mixing
• The Muon Collider as a $H/A$ factory

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• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Constraints for scalars and pseudoscalars from ${\left(g-2\right)}_l$ and existing $e^{+}{e}^{-}$ colliders
• Probing an intrinsically flavorful ALP via tau-lepton flavor physics
• A multi-charged particle model with local $U(1{)}_{\mu -\tau }$ to explain muon $g-2$, flavor physics, and possible collider signature
• Improved constraints for axion-like particles from 3-photon events at $e^{+}{e}^{-}$ colliders
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Searching for long-lived light neutralinos and axionlike particles at the SHiNESS experiment
• Implications of recent ${\left(g-2\right)}_{\mu }$ measurements for MeV-GeV dark sector searches
• Berry phase in axion physics, SM global structure, and generalized symmetries
• Search for Higgs boson decays into a $Z$ boson and a light hadronically decaying resonance in $pp$ collisions at $\sqrt{s}$=13 TeV with the ATLAS detector
• Probing charged lepton flavor violation with axion-like particles at Belle II
• Constraints on Axion Dark Matter by Spin-Dependent Macroscopic Force
• Muonium Spectroscopy as a Quantum Sensor for Ultralight Axion Dark Matter
• Following the muon track of hierarchical sectors at LHCb