We explore the gauge hierarchy problem within the framework of supersymmetric SU(3)c×SU(3)L×SU(3)R with a minimal set of Higgs supermultiplets. Imposition of a suitable discrete (alternatively R) symmetry "prevents" the electroweak Higgs doublets from becoming superheavy through renormalizable couplings. A full resolution of the problem requires consideration of the non-renormalizable couplings which play an essential role. Other key differences from the minimal supersymmetric SU(5) model include the fact that the proton is stable and that an effective 5+5 supermultiplet appears around the TeV mass scale.
ASJC Scopus subject areas
- Nuclear and High Energy Physics