Alternative implementation of the Higgs boson

TL;DR

This paper proposes an alternative Higgs boson model within the Standard Model that relaxes renormalizability, allowing a heavy, weakly interacting Higgs with gauge interactions induced radiatively, maintaining unitarity.

Contribution

It introduces a novel Higgs implementation where gauge interactions are generated radiatively, relaxing renormalizability constraints and preserving unitarity at high energies.

Findings

Higgs can be arbitrarily heavy and weakly interacting.

Gauge interactions with electroweak bosons are induced radiatively.

Unitarity is preserved despite the alternative Higgs implementation.

Abstract

We discuss an alternative implementation of the Higgs boson within the Standard Model which is possible if the renormalizability condition is relaxed. Namely, at energy scale $\Lambda$ the Higgs boson interacts at tree-level only with matter fermions, while the full gauge invariance is still maintained. The interactions with the electroweak gauge bosons are induced at low energies through the radiative corrections. In this scenario the Higgs boson can be arbitrarily heavy, interacting with the Standard Model fields arbitrarily weakly. No violation of unitarity in the scattering of longitudinal electroweak bosons occurs, since they become unphysical degrees of freedom at energies $\Lambda \sim \mathrm{TeV}$.