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Physical Review D

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

Mayumi Aoki^1,*, Shinya Kanemura^2,†, and Kei Yagyu^2,‡

¹Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
²Department of Physics, University of Toyama, 3190 Gofuku, Toyama 930-8555, Japan

^*mayumi@hep.s.kanazawa-u.ac.jp
^†kanemu@sci.u-toyama.ac.jp
^‡keiyagyu@jodo.sci.u-toyama.ac.jp

Phys. Rev. D 83, 075016 – Published 25 April, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.075016

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 1. The requirement of a strongly first order phase transition for successful electroweak baryogenesis 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.

See Also

Neutrino Mass, Dark Matter, and Baryon Asymmetry via TeV-Scale Physics without Fine-Tuning

Mayumi Aoki, Shinya Kanemura, and Osamu Seto

Phys. Rev. Lett. 102, 051805 (2009)

Article Text

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