Abstract
We consider the low scale (10-100 TeV) left-right symmetric model with “naturally” small neutrino masses generated through the inverse seesaw mechanism. The Dirac neutrino mass terms are taken to be similar to the masses of charged leptons and quarks in order to satisfy the quark-lepton similarity condition. The inverse seesaw implies the existence of fermion singlets S with Majorana mass terms as well as the “left” and “right” Higgs doublets. These doublets provide the portal for S and break the left-right symmetry. The inverse seesaw allows to realize a scenario in which the large lepton mixing originates from the Majorana mass matrix of S fields which has certain symmetry. The model contains heavy pseudo-Dirac fermions, formed by S and the right-handed neutrinos, which have masses in the 1 GeV-100 TeV range and can be searched for at current and various future colliders such as LHC, FCC-ee and FCC-hh as well as in SHiP and DUNE experiments. Their contribution to neutrinoless double beta decay is unobservable. The radiative corrections to the mass of the Higgs boson and the possibility for generating the baryon asymmetry of the Universe are discussed. Modification of the model with two singlets (SL and SR) per generation can provide a viable keV-scale dark matter candidate.
Highlights
This relation facilitates the grand unification and we will refer to it as to the quark-lepton (q-l) similarity condition
We consider the low scale (10–100 TeV) left-right symmetric model with “naturally” small neutrino masses generated through the inverse seesaw mechanism
In order to reconcile the low scale L-R symmetry and the naturally small neutrino masses we assume that the latter are generated via the inverse seesaw mechanism [20, 21]
Summary
2.1 The model, linear and inverse seesaw Leptons are organized in the following representations of the symmetry group (1.1). The neutral scalar fields from left-handed scalar doublet χL (χ0L) and bi-doublet Φ (φ01, φ02) break the SU(2)L × U(1)Y symmetry down to U(1)EM Their VEVs should satisfy the relation χ0L 2 + φ01 2 + φ02 2 ≈ 246 GeV,. When the scalar fields acquire VEVs, the interactions (2.6) generate the mass matrix of neutral leptons. Μij mDi , MDi. The inverse seesaw explains the smallness of neutrino masses under the condition of q-l similarity, and provides a rather appealing framework for the lepton mixing generation where the large mixing angles originate from the μ matrix of singlets S, i.e. from the hidden sector. The second relation can follow from certain symmetry in the singlet sector
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