Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments

Abstract

We analyse some dimension-five CPT-even and Lorentz-violating nonminimal couplings between fermionic and gauge fields in the context of the Dirac equation. After evaluating the nonrelativistic Hamiltonian, we discuss the behavior of the terms under discrete symmetries and analyse the implied effects. We then use the anomalous magnetic dipole moment and electron electric dipole moment measurements to reach upper bounds of $1$ part in $10^{20}$ and $10^{24}$ ${\left(eV\right)}^{-1}$, improving the level of restriction on such couplings by at least 8 orders of magnitude. These upper bounds are also transferred to the Sun-centered frame by considering the Earth's rotational motion.

6 pages, 1 table, revtex style, two columns, revised and final version

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Cited by in corpus (33)

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• Lorentz and CPT Tests with Clock-Comparison Experiments
• Lab-based limits on the Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Vacuum Cherenkov radiation for Lorentz-violating fermions
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• Muon anomalous magnetic moment in the standard model extension
• Lorentz violation in simple QED processes
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
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• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
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• Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
• Lorentz violation parameters and noncommutative scale
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• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector