Saturating the Bound on the Scale of Fermion Mass Generation

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 V_L V_L and V_L V_L to V_L V_L scattering and derive the conditions on the parameters required for f fbar to V_L V_L 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.

7 pages, Latex (minor typo fixed)

Cited by in corpus (6)

• Self-healing of unitarity in effective field theories and the onset of new physics
• Scale of fermion mass generation
• Upper bound on the scale of Majorana-neutrino mass generation
• $e^{+}{e}^{-}\to t\bar{t}H$ with Non-standard Higgs Boson Couplings
• Unitarity constraints on top quark signatures of Higgsless models
• Top-quark couplings to TeV resonances at future lepton colliders