Abstract
We discuss how two birds—the little hierarchy problem of low-scale type-I seesaw models and the search for a viable dark matter candidate—are (proverbially) killed by one stone: a new inert scalar state.
Highlights
Such a cancelation can be achieved by a redefinition of the Higgs boson bare mass but it is more appealing and practical to use the hierarchy problem in a heuristic manner to help us in the definition of whatever model of physics we assume to exist beyond the standard model (SM) [5]
The problem of the large contribution to the Higgs mass mH coming from the new states is best understood in terms of the renormalization group equation (RGE)
If new states are present at a higher scale, they must be introduced as a threshold effect in order to match the low- and highscale effective theories
Summary
Together with the presence of dark matter (DM), neutrino oscillations—and the small neutrino mass entailed—are the only physics beyond the standard model (SM) experimentally confirmed. Let us stress that the hierarchy problem is often discussed in terms of the quadratic divergence arising in the mass term of the Higgs boson in a momentum dependent regularization (or, equivalently, in a pole in d = 2 dimensions in dimensional regularization) The presence of these divergences makes the Higgs boson mass extremely sensitive to the UV physics and some cancelation must take place either in a natural manner by assuming a symmetry (usually, supersymmetry) or by fine-tuning by imposing the Veltman condition [6] (see, [7,8,9])—namely that the new sector couples to the SM Higgs boson just so as to make the quadratic divergences to the SM Higgs boson mass vanish (see [10,11,12,13,14,15] for various applications of this idea). This work is about these terms in the case of the seesaw mechanism
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