Type-I Seesaw as the Common Origin of Neutrino Mass, Baryon Asymmetry,
  and the Electroweak Scale
  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.
