https://doi.org/10.1140/epjc/s10052-021-09735-z
Regular Article - Theoretical Physics
Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
1
Department of Physics, Harvard University, 02138, Cambridge, MA, USA
2
Department of Physics and Center for Theoretical Physics, National Taiwan University, 106, Taipei, Taiwan, ROC
3
Department of Physics and Astronomy, Center for Theoretical Physics, Seoul National University, 08826, Seoul, Korea
4
Department of Physics, Osaka University, 560-0043, Osaka, Japan
Received:
30
May
2021
Accepted:
10
October
2021
Published online:
2
November
2021
We propose a minimal model that can explain the electroweak scale, neutrino masses, Dark Matter (DM), and successful inflation all at once based on the multicritical-point principle (MPP). The model has two singlet scalar fields that realize an analogue of the Coleman–Weinberg mechanism, in addition to the Standard Model with heavy Majorana right-handed neutrinos. By assuming a 
symmetry, one of the scalars becomes a DM candidate whose property is almost the same as the minimal Higgs-portal scalar DM. In this model, the MPP can naturally realize a saddle point in the Higgs potential at high energy scales. By the renormalization-group analysis, we study the critical Higgs inflation with non-minimal coupling 
that utilizes the saddle point of the Higgs potential. We find that it is possible to realize successful inflation even for 
and that the heaviest right-handed neutrino is predicted to have a mass around 
to meet the current cosmological observations. Such a small value of 
can be realized by the Higgs-portal coupling 
and the vacuum expectation value of the additional neutral scalar 
TeV, which correspond to the dark matter mass 2.0 TeV, its spin-independent cross section 
pb, and the mass of additional neutral scalar 190 GeV.
© The Author(s) 2021
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