Unitarity in $WW \to WW$ elastic scattering in topologically massive SU(2) gauge theory

TL;DR

This paper demonstrates that in a topologically massive SU(2) gauge theory, elastic WW scattering amplitudes stay finite at high energies without requiring a Higgs boson, challenging traditional beliefs.

Contribution

It shows that unitarity is preserved in a Higgsless SU(2) gauge theory through topological mass generation, contrary to common expectations.

Findings

Amplitude remains finite at large s

No Higgs particle needed for unitarity

Challenges conventional Higgs mechanism understanding

Abstract

We consider the elastic scattering of longitudinally polarized gauge bosons in an SU(2) generalization of topologically massive gauge theory in four dimensions. We show that the amplitude remains finite at large $s$, even though the theory does not contain a Higgs particle, in contradiction to common lore.