Abstract
It was recently proposed that the electroweak hierarchy problem is absent if the generation of the Higgs potential stems exclusively from quantum effects of heavy right-handed neutrinos which can also generate active neutrino masses via the type-I seesaw mechanism. Hence, in this framework dubbed the "neutrino option", the tree-level scalar potential is assumed to vanish at high energies. Such a scenario therefore lends itself particularly well to be embedded in a classically scale-invariant theory. In this paper we perform a survey of models featuring conformal symmetry at the high scale. We find that the minimal framework compatible with the "neutrino option" requires the Standard Model to be extended by two real scalar singlet fields in addition to right-handed neutrinos. The spontaneous breaking of scale invariance, which induces the dynamical generation of Majorana masses for the right-handed neutrinos, is triggered by renormalization group effects. We identify the parameter space of the model for which a phenomenologically viable Higgs potential and neutrino masses are generated, and for which all coupling constants remain in the perturbative regime up to the Planck scale.
Highlights
The gauge hierarchy problem is still one of the major challenges in contemporary theoretical high-energy physics
We perform a numerical study based on the solutions of the one-loop5 renormalization group equations (RGE), which we compile in the Appendix
In this paper we investigated classically conformal realizations of the neutrino option proposed in Ref. [5], where heavy right-handed neutrinos generate both active neutrino masses and the Higgs potential
Summary
The gauge hierarchy problem is still one of the major challenges in contemporary theoretical high-energy physics. Without any new physics found at the LHC, the simplest and most natural realizations of conventional approaches toward its solution come under significant pressure and the origin of the smallness of the Higgs mass remains obscure. This obviously leads to an increased interest in formulating and investigating alternative ideas which provide methods to solve or at least alleviate the electroweak naturalness problem. Starting from the usual seesaw Lagrangian but assuming the tree-level scalar potential to vanish in the UV, the authors demonstrated that integrating out the heavy right-handed neutrinos can correctly reproduce the physics of both electroweak symmetry breaking and light active
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