Abstract
The type-I seesaw represents one of the most popular extensions of the Standard Model. Previous studies of this model have mostly focused on its ability to explain neutrino oscillations as well as on the generation of the baryon asymmetry via leptogenesis. Recently, it has been pointed out that the type-I seesaw can also account for the origin of the electroweak scale due to heavy-neutrino threshold corrections to the Higgs potential. In this paper, we show for the first time that all of these features of the type-I seesaw are compatible with each other. Integrating out a set of heavy Majorana neutrinos results in small masses for the Standard Model neutrinos; baryogenesis is accomplished by resonant leptogenesis; and the Higgs mass is entirely induced by heavy-neutrino one-loop diagrams, provided that the tree-level Higgs potential satisfies scale-invariant boundary conditions in the ultraviolet. The viable parameter space is characterized by a heavy-neutrino mass scale roughly in the range $10^{6.5\cdots7.0}$ GeV and a mass splitting among the nearly degenerate heavy-neutrino states up to a few TeV. Our findings have interesting implications for high-energy flavor models and low-energy neutrino observables. We conclude that the type-I seesaw sector might be the root cause behind the masses and cosmological abundances of all known particles. This statement might even extend to dark matter in the presence of a keV-scale sterile neutrino.
Highlights
We have considered two viable RH neutrinos (RHNs) scenarios that manage to simultaneously explain (i) the Standard Model (SM) neutrino oscillations, (ii) the baryon asymmetry of the Universe, and (iii) the origin of all SM particle masses
Neutrinos turn into massive Dirac fermions in consequence of the Higgs mechanism, baryogenesis might proceed via neutrinogenesis, and the EW scale plays the role of a universal mass scale that determines the masses of all SM particles
The Higgs mass parameter in the Higgs potential is forbidden at tree level and only induced via RHN one-loop threshold corrections
Summary
The Standard Model (SM) describes neutrinos in terms of massless left-handed (LH) Weyl fermions. The electroweak (EW) scale v, which is induced by the tree-level Higgs mass parameter μ, can be identified as the fundamental energy scale that determines the masses of all SM particles, i.e., the masses of the SM Higgs boson, EW gauge bosons, and all SM fermions Another attractive feature of this minimal SM extension is that it provides a possibility to explain the origin of the baryon asymmetry of the Universe (BAU) via the so-called neutrinogenesis mechanism [2]. In order to generate a primordial chiral neutrino asymmetry, it is necessary to extend the model by new DOFs whose masses may be as large as the energy scale of gauge coupling unification, ΛGUT ∼ 1016 GeV, in grand unified theories (GUTs). This represents a model-building constraint that needs to be accounted for when embedding the Diracneutrino model into a more comprehensive model at high energies
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