Fermion masses in a model for spontaneous parity breaking

Abstract

In this paper we discuss a left-right symmetric model for elementary particles and their connection with the mass spectrum of elementary fermions. The model is based on the group $SU(2)_L\otimes SU(2)_R\otimes U(1)$. New mirror fermions and a minimal set of Higgs particles that breaks the symmetry down to $U(1)_{em}$ are proposed. The model can accommodate a consistent pattern for charged and neutral fermion masses as well as neutrino oscillations. An important consequence of the model is that the connection between the left and right sectors can be done by the neutral vector gauge bosons Z and a new heavy Z'.Comment: 7 pages, 3 figures. Accepted in Eur. Phys. J.

A New Left-Right Symmetry Model

“…al. [5] from the correction of the Z L coupling to the SM fermion, that has been mentioned in the previous section. For the case of neutrinos, in general the value of M in Eq.…”

Spontaneous parity violation and minimal Higgs models

“…Another mirror model with two Higgs doublets and two Higgs singlets was developed in ref. 3. In both cases the condition υ R ≫ υ L…”

“…However the fundamental fermionic representation and the Higgs sector are not completely determined. For the fermions one can have two possibilities: new right-handed doublets, as in the earlier models [1], or new mirror fermions [2,3]. The Higgs sector has more possibilities and introduces more unknown parameters in the model.…”

The muon in an left–right symmetric model with mirror fermions

“…An interesting model with mirror fermions based in the gauge group SU (2) L ⊗ SU (2) R ⊗ U (1) Y with a minimal set of Higgs fields was elaborated in [24]. The Lagrangian is constructed using two Higgs doublets χ L , χ R that satisfy the parity transformation χ L P ← → χ R , and two Higgs singlets, the first of which is coupled to Dirac terms -S D -and the other that couples to Majorana terms -S M .…”