<p>The electric dipole moment is examined in a three-loop neutrino mass model with dark matter originally proposed in Aoki et al. [<i>Phys. Rev. Lett.</i> <b>102</b> (2009) 051805]. The model contains a <i>CP</i>-violating phase in the Higgs potential which plays an important role in electroweak baryogenesis and is thus expected to explain the baryon asymmetry of the Universe simultaneously. However, such a <i>CP</i>-violating phase is severely constrained by the measurements of the electron electric dipole moment (eEDM), and a suppression mechanism for the eEDM is necessary to explain the observed baryon asymmetry while avoiding the constraint. In this paper, we examine neutrino mass, lepton-flavor-violating processes, dark matter, and the eEDM in the model. We show that the eEDM can be suppressed by destructive interference between the <i>CP</i>-violating phases in the Higgs sector and the dark sector with large <i>CP</i>-violating phases. We propose some benchmark scenarios including <i>O</i>(1) <i>CP</i>-violating phases where tiny neutrino mass and dark matter can be explained while avoiding all current experimental and theoretical constraints. These <i>CP</i>-violating phases are expected to be large enough to generate the observed baryon asymmetry in the electroweak baryogenesis scenario.</p>

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The electric dipole moment in a model for neutrino mass, dark matter and baryon asymmetry of the Universe

  • Kazuki Enomoto,
  • Shinya Kanemura,
  • Sora Taniguchi

摘要

The electric dipole moment is examined in a three-loop neutrino mass model with dark matter originally proposed in Aoki et al. [Phys. Rev. Lett. 102 (2009) 051805]. The model contains a CP-violating phase in the Higgs potential which plays an important role in electroweak baryogenesis and is thus expected to explain the baryon asymmetry of the Universe simultaneously. However, such a CP-violating phase is severely constrained by the measurements of the electron electric dipole moment (eEDM), and a suppression mechanism for the eEDM is necessary to explain the observed baryon asymmetry while avoiding the constraint. In this paper, we examine neutrino mass, lepton-flavor-violating processes, dark matter, and the eEDM in the model. We show that the eEDM can be suppressed by destructive interference between the CP-violating phases in the Higgs sector and the dark sector with large CP-violating phases. We propose some benchmark scenarios including O(1) CP-violating phases where tiny neutrino mass and dark matter can be explained while avoiding all current experimental and theoretical constraints. These CP-violating phases are expected to be large enough to generate the observed baryon asymmetry in the electroweak baryogenesis scenario.