Unitarity In An Alternative Electroweak Theory

TL;DR

This paper explores an alternative electroweak model where the energy scale is limited, scalar bosons can be heavy enough to evade detection, and unitarity is maintained at high energies through a decreasing effective coupling.

Contribution

It introduces a modified electroweak theory with a high-energy cutoff and a novel approach to preserving unitarity via a decreasing effective coupling constant.

Findings

Scalar bosons can be heavy enough to evade LHC detection.

The theory remains perturbatively renormalizable for decoupled scalar interactions.

Effective coupling decreases as 1/√s, ensuring unitarity at high energies.

Abstract

An electroweak (EW) model has been investigated (Moffat) in which the energy $E < \mu=\sqrt{\lambda}M_W$, where $\lambda$ is a gauge parameter and $M_W$ is the $W$ boson mass. For large enough $\lambda$ the scalar boson mass $\mu=\sqrt{\lambda}M_W$ can be heavy enough to avoid detection in LHC experiments. The theory is perturbatively renormalizable for the decoupled scalar interactions. The Born approximation tree graph unitarity can be ensured by postulating that the effective coupling constant $g_{\rm eff}(s)$ vanishes as $1/\sqrt{s}$ or faster as $s\rightarrow\infty$, predicting that the EW interactions become weaker at high energies, and longitudinally polarized $W_L W_L\rightarrow W_L W_L$ scattering does not violate Born approximation tree graph unitarity.