Recently, Jager and Willenbrock have shown that the Appelquist and Cha
nowitz bound on the scale of top-quark mass generation can formally be
saturated at tree-level in a particular Limit of a two-Higgs doubler
model. In this note I present an alternate derivation of their result.
I perform a coupled channel analysis for f (f) over bar, VLVL and VLV
L --> VLVL scattering and derive the conditions on the parameters requ
ired for f (f) over bar, VLVL scattering to be relevant to unitarity.
I also show that it is not possible to saturate the bound on fermion m
ass generation in a two-Higgs model while maintaining tree-level unita
rity in Higgs scattering at high energies. (C) 1998 Elsevier Science B
.V. All rights reserved.