Asymptotically safe weak interactions

TL;DR

This paper explores the possibility that electroweak interactions without a Higgs boson could be asymptotically safe and renormalizable due to a non-trivial fixed point, similar to quantum gravity, challenging the necessity of a propagating Higgs particle.

Contribution

It proposes a novel interpretation where the Higgs field acts as a dressing field, potentially eliminating the need for a Higgs boson as a propagating particle and suggesting non-perturbative renormalizability.

Findings

Electroweak interactions without a Higgs could be asymptotically safe.

Tree-level unitarity is maintained via the running weak scale.

Electroweak theory may be renormalizable at a non-perturbative level.

Abstract

We emphasize that the electroweak interactions without a Higgs boson are very similar to quantum general relativity. The Higgs field could just be a dressing field and might not exist as a propagating particle. In that interpretation, the electroweak interactions without a Higgs boson could be renormalizable at the non-perturbative level because of a non-trivial fixed point. Tree-level unitarity in electroweak bosons scattering is restored by the running of the weak scale.