Charged lepton electric dipole moment enhancement in the Lorentz violated extension of the standard model

Abstract

We consider the Lorentz violated extension of the standard model. In this framework, there are terms that explicitly violate CP-symmetry. We examine the CPT-even $d_{\mu \nu }$-term to find the electric dipole moment of charged leptons. We show that the form factors besides the momentum transfer, depend on a new Lorentz-scalar, constructing by $d_{\mu \nu }$ and the four momenta of the lepton, as well. Such an energy dependence of the electric dipole form factor leads to an enhancement of the lepton electric dipole moment at high energy, even at the zero momentum transfer. We show that at $\frac{|d|p^2}{m_l^2}\sim 1$ the electric dipole moment of the charged lepton can be as large as $10^{-14}ecm$.

15 pages, 1 figure

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• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Muon anomalous magnetic moment in the standard model extension
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Lorentz violation parameters and noncommutative scale
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector