Hexagonal SU(3) Unification and its Manifestation at the TeV Scale

We consider SU(3)C × SU(2)AL × SU(2)BL × U(1)Y as the low-energy subgroup of supersymmetric SU(3) unification. This may imply small deviations from quarklepton universality at the TeV scale, as allowed by neutron-decay data. New particles are predicted with specific properties. We discuss in particular the new heavy gauge bosons corresponding to SU(2)AL × SU(2)BL → SU(2)L. 1 Hexagonal SU(3) Model The extension from SU(3)C ×SU(3)L ×SU(3)R trinification [1] to SU(3) unification [2] allows for the natural anomaly-free implementation of chiral color [3] and quark-lepton nonuniversality [4, 5] at the TeV scale. In view of the fact that there is an experimental hint [6] of the latter, but not the former, we explore the possibility that the low-energy reduction of hexagonal SU(3) unification is actually SU(3)C × SU(2)AL × SU(2)BL × U(1)Y at the TeV scale, where quarks couple to SU(2)AL, but leptons may choose either SU(2)AL or SU(2)BL or both, and the SU(2)L of the Standard Model (SM) is the diagonal subgroup of SU(2)AL ×SU(2)BL [7]. We show how supersymmetric unification at around 10 GeV may be maintained with a suitable choice of new particle content at the TeV scale and discuss their phenomenological consequences.