Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments

Abstract

The effective-Lagrangian description of Lorentz-invariance violation provided by the so-called Standard-Model Extension covers all the sectors of the Standard Model, allowing for model-independent studies of high-energy phenomena that might leave traces at relatively-low energies. In this context, the quantification of the large set of parameters characterizing Lorentz-violating effects is well motivated. In the present work, effects from the Lorentz-nonconserving Yukawa sector on the electromagnetic moments of charged leptons are calculated, estimated, and discussed. Following a perturbative approach, explicit expressions of leading contributions are derived and upper bounds on Lorentz violation are estimated from current data on electromagnetic moments. Scenarios regarding the coefficients of Lorentz violation are considered. In a scenario of two-point insertions preserving lepton flavor, the bound on the electron electric dipole moment yields limits as stringent as $10^{-28}$, whereas muon and tau-lepton electromagnetic moments determine bounds as restrictive as $10^{-14}$ and $10^{-6}$, respectively. Another scenario, defined by the assumption that Lorentz-violating Yukawa couplings are Hermitian, leads to less stringent bounds, provided by the muon anomalous magnetic moment, which turn out to be as restrictive as $10^{-14}$.

21 pages, 17 figures, 6 tables

References in corpus (9)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• What Do We Know About Lorentz Invariance?
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• New Bounds on Isotropic Lorentz Violation
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Absence of Long-Wavelength Cerenkov Radiation With Isotropic Lorentz and CPT Violation
• One-loop structure of the photon propagator in the Standard Model Extension
• The lifetime of unstable particles in electromagnetic fields

Cited by in corpus (5)

• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Lorentz violation in nucleon electromagnetic moments
• Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Vacuum polarization in Yang-Mills theories with Lorentz violation