Self-consistent dynamics 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 constant{close_quotes} approximating the effect of high-mass exchange to obtain their H.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 243630
- Report Number(s):
- CONF-9304297-; ISSN 0003-0503; TRN: 96:002199-0134
- Journal Information:
- Bulletin of the American Physical Society, Vol. 38, Issue 2; Conference: 1993 joint meeting of the American Physical Society and the American Association of Physics Teachers, Washington, DC (United States), 12-15 Apr 1993; Other Information: PBD: Apr 1993
- Country of Publication:
- United States
- Language:
- English
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