Absence of Right-Handed Neutrino in Weak Interactions: Explanation via Nonlinear Electroweak Model

Abstract

The nonlinear SU(2) electroweak model is used to explain the absence of the right-handed neutrino in weak interactions. Two covariant eigenvalue constraints which affect the transformation lead to two classes of right-handed leptons, and make possible invariant mass terms without the Higgs doublet. A covariant picture of neutrinos with mass is presented. A new invariant form for the boson potentials is described in which the boson mass terms arises via the adjoint field. This model also indicates a different region of matter involving coupled leptons that are "blind" to the massless electromagnetic field but "see" four massive potentials that are themselves blind to the electromagnetic field. We argue that these more difficult to detect "dark" fields provide a possible contribution to the missing mass.