Weak interactions at very high energies: The role of the Higgs-boson mass

Benjamin W. Lee; C. Quigg; H. B. Thacker

doi:10.1103/PhysRevD.16.1519

Weak interactions at very high energies: The role of the Higgs-boson mass

Benjamin W. Lee^*,‡, C. Quigg^†,‡, and H. B. Thacker^‡

Fermi National Accelerator Laboratory, Batavia, Illinois 60510

^*Deceased.
^†Work supported in part by the Alfred P. Sloan Foundation; also at Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637.
^‡Operated by Universities Research Association Inc. under contract with the U. S. Energy Research and Development Administration.

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Phys. Rev. D 16, 1519 – Published 1 September, 1977

DOI: https://doi.org/10.1103/PhysRevD.16.1519

Abstract

We give an $S$ -matrix-theoretic demonstration that if the Higgs-boson mass exceeds $M_{c} = {(8 π \frac{\sqrt{2}}{3} G_{F})}^{\frac{1}{2}}$ , 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.

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Weak interactions at very high energies: The role of the Higgs-boson mass

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