Self-consistent dynamcis of a light composite scalar Higgs boson

The authors apply a simple approximate relativistic amplitude - unitarization generalization of non-relativistic Schroedinger-equation dynamics to the scattering of longitudinal mass-degenerate W and Z gauge bosons. The strong energy dependence of this amplitude near the WW threshold then makes possible a non-perturbative self-consistent non-elementary neutral Higgs scalar bound state (H) just below this threshold. The authors must, however, include a constant term approximating high-energy inelastic effects in addition to H exchange. Everything, including the H mass, can then be determined in terms of the small phenomenological WWH coupling and W mass, which serves to set the energy scale of the problem; this is the same number of arbitrary parameters as in the underlying electroweak theory. The partial-wave amplitude containing the H is then in approximate agreement at zero energy with the one given by the perturbative crossing-symmetric H-pole-only tree-graph amplitude. The authors find unacceptable zero-energy disagreement, however, if, instead of an inelasticity term, they insert a open-quotes subtraction constantclose quotes approximating the effect of high-mass exchange to obtain their H