Impact of Lorentz violation on anomalous magnetic moments of charged leptons

Abstract

We address the question whether a violation of Lorentz symmetry can explain the tension between the measurement and the Standard-Model prediction of the anomalous magnetic moment of the muon ($(g-2{)}_{\mu }$) and whether it can significantly impact the one of the electron ($(g-2{)}_e$). While anisotropic Lorentz-violating effects are, in general, expected to produce sidereal oscillations in observables, isotropic Lorentz violation in the charged-lepton sector could feed into $(g-2{)}_{e,\mu }$. However, we find that this type of Lorentz violation, parametrised via a dim-4 field operator of the Standard-Model Extension (SME), is already strongly constrained by the absence of vacuum Čerenkov radiation and photon decay. In particular, the observations of very-high-energetic astrophysical photons at LHAASO and of high-energetic electrons (muons) by the LHC (IceCube) place the most stringent two-sided bounds on the relevant SME coefficients $\stackrel{\circ }{c}{}^{(e)}$ ($\stackrel{\circ }{c}{}^{(\mu )}$). Therefore, any explanation of the tension in $(g-2{)}_{\mu }$ via isotropic Lorentz violation of the minimal spin-degenerate SME is excluded, and the possible size of its impact on $(g-2{)}_e$ is very limited.

10 pages, 2 figures

References in corpus (34)

• Measurement of the fine-structure constant as a test of the Standard Model
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The Muon Magnetic Moment and Supersymmetry
• The muon $g$-2 and $\Delta \alpha$ connection
• Limiting two-Higgs-doublet models
• Lepton flavor violating Z' explanation of the muon anomalous magnetic moment
• The muon g-2 and the bounds on the Higgs boson mass
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• $(g-2{)}_{\mu }$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects
• New Barr-Zee contributions to $(\mathbf{g}-2{)}_{\mu }$ in two-Higgs-doublet models
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Limits on isotropic Lorentz violation in QED from collider physics
• A light pseudoscalar of 2HDM confronted with muon g-2 and experimental constraints
• Expectations for the muon g-2 in simplified models with dark matter
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• New Bounds on Isotropic Lorentz Violation
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Laboratory tests of Lorentz and CPT symmetry with muons
• Lepton-Specific Two-Higgs Doublet Model: Experimental Constraints and Implication on Higgs Phenomenology
• The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
• Restrictions from Lorentz invariance violation on cosmic ray propagation
• Lorentz violation effects on astrophysical propagation of very high energy photons
• Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
• Muon anomalous magnetic moment in the standard model extension
• Improved bound on isotropic Lorentz violation in the photon sector from extensive air showers
• Covariant Quantization of CPT-violating Photons
• Photon decay in UHE air showers: stringent bound on Lorentz violation
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation
• Modeling-Free Bounds on Nonrenormalizable Isotropic Lorentz and CPT Violation in QED
• (Gravitational) Vacuum Cherenkov Radiation
• Vacuum Cherenkov radiation and photon decay rates from generic Lorentz Invariance Violation
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources