Triviality and vacuum stability bounds in the three-loop neutrino mass model

Abstract

We study theoretical constraints on the parameter space under the conditions from vacuum stability and triviality in the three-loop radiative seesaw model with TeV-scale right-handed neutrinos which are odd under the $Z_2$ parity. In this model, some of the neutrino Yukawa coupling constants can be of the order of one. Requirement of strongly first order phase transition for successful electroweak baryogenes is also prefers order-one coupling constants in the scalar sector. Hence, it is important to clarify whether this model satisfies those theoretical conditions up to a given cutoff scale. It is found that the model can be consistent up to the scale above 10 TeV in the parameter region where the neutrino data, the lepton flavor violation data, the thermal relic abundance of dark matter as well as the requirement from the strongly first order phase transition are satisfied.

22 pages, 14 figures

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• Neutrino Mass and Dark Matter from Gauged $U(1{)}_{B-L}$ Breaking
• Impact of Semi-annihilation of Z3 Symmetric Dark Matter with Radiative Neutrino Masses
• Radiative Generation of Lepton Masses with the $U(1{)}^{\prime }$ Gauge Symmetry
• Complementarity in direct searches for additional Higgs bosons at the LHC and the International Linear Collider
• Scotogenic R\nuMDM at Three-Loop Level
• Radiative neutrino mass, dark matter and electroweak baryogenesis from the supersymmetric gauge theory with confinement
• Testing neutrino mass generation mechanisms from the lepton flavor violating decay of the Higgs boson
• Neutrino Mass, Dark Matter and Baryon Asymmetry without Lepton Number Violation
• Electroweak baryogenesis in the three-loop neutrino mass model with dark matter
• Probing doubly charged scalar bosons from the doublet at future high-energy colliders
• Forbidden neutrinogenesis
• Radiative neutrino masses: A window to new physics
• Neutrino masses, dark matter and baryon asymmetry of the Universe