  Motivated by new ideas about the Higgs mass naturalness problem, we present
realistic TeV-scale extensions of the Standard Model, into the gauge group
SU(3)_L x SU(3)_R x SU(3)_c, such that all gauge, Yukawa and quartic couplings
can be extrapolated up to infinite energy. Three generations of chiral fermions
and Higgses are needed, as well as some extra fermion.
