Physics implication from higher weak isospin decomposition

Abstract

The \(SU(3)_L\otimes U(1)_X\) symmetry actually studied is directly broken to the electroweak symmetry \(SU(2)_L\otimes U(1)_Y\) by a Higgs triplet, predicting a relevant new physics at TeV scale. This work argues, by contrast, that the higher weak isospin \(SU(3)_L\) might be broken at a high energy scale, much beyond 1 TeV, by a Higgs octet to an intermediate symmetry \(SU(2)_L\otimes U(1)_{T_8}\) at TeV, before the latter \(U(1)_{T_8}\) recombined with \(U(1)_X\) defines (i.e., broken to) \(U(1)_Y\) by a Higgs singlet. The new physics coupled to \(SU(3)_L\) breaking phase is decoupled, whereas what remains is a novel family-nonuniversal abelian model, \(U(1)_{T_8}\otimes U(1)_X\), significantly overhauling the standard model as well as yielding consistent results for neutrino mass, dark matter, W-mass anomaly, and FCNC, differently from the usual 3-3-1 model.