Towards a low energy quark-lepton family non-abelian gauge symmetry

The logical chain of the nature of quark and lepton masses → the quark and lepton family mixing → a possible new family dynamics at TeV energy region is studied. The current state of the generation mixing and CP-violation problems is discussed from the standpoint of the hypothetical existence of a new local gauge family symmetry and new heavy fermions. The current understanding of quark and lepton mass spectra leaves room for the existence of an unusually low mass breaking scale of non-abelian gauge SU(3)HV-family symmetry ∼ some TeV. Some independent experiments for verifying the relevant hypotheses have been proposed: light (π,K), heavy (B,D) - meson and charged lepton flavour changing rare decays, family symmetry violation effects in e+e--and pp-collider experiments (LEP, FNAL, LHC, SSC). Supersymmetry is supposed to be important for the hierarchy problem, certain useful constraints on Yukawa couplings, the super-Higgs effect in the case of a broken local family symmetry, the estimates of the gauge coupling constant gH. (author) 26 refs., 1 fig., 3 tabs