Saturating the Bound on the Scale of Fermion Mass Generation
R. Sekhar Chivukula
Abstract
Recently, Jaeger and Willenbrock have shown that the Appelquist and Chanowitz bound on the scale of top-quark mass generation can formally be saturated in a particular limit of a two-Higgs doublet model. In this note I present an alternate derivation of their result. I perform a coupled channel analysis for f fbar to VL VL and VL VL to VL VL scattering and derive the conditions on the parameters required for f fbar to VL VL scattering to be relevant to unitarity. I also show that it is not possible to saturate the bound on fermion mass generation in the two-Higgs model while maintaining tree-level unitarity in Higgs scattering at high energies.
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