The abundance of new Higgs bosons in many extensions of the electroweak theory motivate an investigation of their effect on partial-wave scattering amplitudes. For SU(2)×{}U(1), tree unitarity is shown to be valid for W and Z amplitudes provided three quartic couplings from the Higgs potential are small (|f|<16π). The mass spectrum of the Higgs boson is almost unconstrained but for the simple requirement that at least one neutral scalar must have a mass $M<1$ TeV. Similar results are obtained in a general broken guage theory for the scattering of arbitrary combinations of scalar and vector bosons.
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H. Arthur Weldon (1984) studied this question.
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