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.

Comments: 31 pages, 4 figures, 3 tables; Revised version with references added; Published in EPJC