Abstract
We present a realization of the idea that the Higgs boson is mainly a bound state of neutrinos induced by strong four-fermion interactions. The conflicts of this idea with the measured values of the top quark and Higgs boson masses are overcome by introducing, in addition to the right-handed neutrino, a new fermion singlet, which, at low energies, implements the inverse see-saw mechanism. The singlet fermions also develop a scalar bound state which mixes with the Higgs boson. This allows us to obtain a small Higgs boson mass even if the couplings are large, as required in composite scalar scenarios. The model gives the correct masses for the top quark and Higgs boson for compositeness scales below the Planck scale and masses of the new particles above the electroweak scale, so that we obtain naturally a low-scale see-saw scenario for neutrino masses. The theory contains additional scalar particles coupled to the neutral fermions, which could be tested in present and near future experiments.
Highlights
In 1989 Bardeen et al [1] (BHL) put forward the idea that the Higgs boson could be a bound state of top quarks by using an adapted Nambu-Jona-Lasinio (NJL) model [2,3]
The mechanism is very attractive because it gives a prediction for the top quark mass and for the Higgs boson mass, which can be compared with experiment
We find interesting the possibility that the Higgs boson is, mainly, a bound state of neutrinos [16,17,18,19] because, after all, neutrinos are already present in the Standard Model (SM) and should have some non-SM interactions in order to explain the observed neutrino masses and mixings
Summary
In 1989 Bardeen et al [1] (BHL) put forward the idea that the Higgs boson could be a bound state of top quarks by using an adapted Nambu-Jona-Lasinio (NJL) model [2,3] (see [4,5,6,7,8,9] for similar approaches). If neutrino masses come from the type I seesaw model, neutrino Yukawa couplings could be large enough to implement the BHL mechanism This approach has two important problems: (i) In the type I seesaw, the Majorana masses of right-handed neutrinos should be quite large (at least ∼1013 GeV) for Yukawa couplings of order one, which are needed to generate the bound state. This means that there are just a few orders of magnitude of running to reach the Landau pole before the Plank scale.
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