The observed neutrino oscillation data might be explained by new physics at a TeV scale, which is testable in the future experiments. Among various possibilities, the low-energy Higgs triplet model is a prime candidate of such new physics since it predicts clean signatures of lepton flavor violating processes directly related to the neutrino masses and mixing. It is discussed how various neutrino mass patterns can be discriminated by examining the lepton flavor violating decays of charged leptons as well as the collider signatures of a doubly charged Higgs boson in the model.
The observed value of the Higgs mass indicates that the Higgs potential becomes small and flat at the scale around 10 17 GeV. Having this fact in mind, we reconsider the Higgs inflation scenario proposed by Bezrukov and Shaposhnikov. It turns out that the non-minimal coupling ξ of the Higgs-squared to the Ricci scalar can be smaller than ten. For example, ξ = 7 corresponds to the tensor-to-scalar ratio r 0.2, which is consistent with the recent observation by BICEP2. *
The observed Higgs mass MH = 125.9 ± 0.4 GeV leads to the criticality of the standard model, that is, the Higgs potential becomes flat around the scale 1017-18 GeV for the top mass 171.3 GeV. Earlier we proposed a Higgs inflation scenario in which this criticality plays a crucial role. In this paper, we investigate the detailed cosmological predictions of this scenario in light of the latest Planck and BICEP2 results. We also consider the Higgs portal scalar dark matter model, and compute the Higgs one-loop effective potential with the two-loop renormalization group improvement. We find a constraint on the coupling between the Higgs boson and dark matter which depends on the inflationary parameters.
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