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We reanalyze our recently proposed mass matrix model based on spontaneouslybroken discrete chiral family symmetry, taking into account the additionalflavor changing neutral current constraint implied by the bound on the$D_1-D_2$ mass difference, and including several corrections to our earlieranalysis. When combined, the $K_1-K_2$ and $D_1-D_2$ constraints force themasses of the Higgs particles that contribute most strongly to flavor changingneutral currents (the $\phi$ Higgs states) to lie above 17 TeV, well beyond thelimit of validity of conventional perturbative Higgs physics. The analogousconstraints on the masses of the $\eta$ Higgs states and the neutral pseudoGoldstone Higgs state depend on the mechanism for realizing small first familymasses. If the $\eta$ Higgs is the primary contributor to second family masses,the pseudo Goldstone and $\eta$ Higgs states must have masses above 220 GeV,with numerical fits suggesting masses above 1 TeV, while if the $\eta$ Higgs isresponsible solely for first family masses, the corresponding mass bounds dropto the range detectable at the LHC. We show that naturalness of small firstfamily masses favors the latter alternative, and give an illustrative massmatrix texture model.Comment: 32 pages, plain tex, 2 table

Higgs boson mass bounds in the three- and six-Higgs doublet models for family structure