Minimal scenario of Criticality for Electroweak scale, Neutrino Masses, Dark Matter, and Inflation
arXiv:2102.04617 · doi:10.1140/epjc/s10052-021-09735-z
Abstract
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 GeV 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.
arXiv comment30 pages, 7 figures; Version accepted in EPJC (v2)
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