Abstract

We give an $S$-matrix-theoretic demonstration that if the Higgs-boson mass exceeds ${M}_{c}={(8\ensuremath{\pi}\frac{\sqrt{2}}{3}{G}_{F})}^{\frac{1}{2}}$, parital-wave unitarity is not respected by the tree diagrams for two-body scattering of gauge bosons, and the weak interactions must become strong at high energies. We exhibit the relation of this bound to the structure of the Higgs-Goldstone Lagrangian, and speculate on the consequences of strongly coupled Higgs-Goldstone systems. Prospects for the observation of massive Higgs scalars are noted.

Keywords

Higgs bosonPhysicsParticle physicsUnitarityGoldstone bosonBosonGauge bosonElementary particleHiggs mechanismHiggs fieldGauge theory

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Publication Info

Year
1977
Type
article
Volume
16
Issue
5
Pages
1519-1531
Citations
1416
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Closed

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Benjamin W. Lee, Chris Quigg, H. B. Thacker (1977). Weak interactions at very high energies: The role of the Higgs-boson mass. Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields , 16 (5) , 1519-1531. https://doi.org/10.1103/physrevd.16.1519

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DOI
10.1103/physrevd.16.1519