Revisiting the Higgs sector of the Standard Model

TL;DR

This paper revisits the Higgs sector of the Standard Model, demonstrating that in a conformal regime with zero mass term, the Higgs field acquires mass and behaves like the standard Higgs, but with potential observable differences in decay rates and excited states.

Contribution

It introduces exact solutions in a conformal regime showing the Higgs field can behave as the Standard Model Higgs without a mass term, challenging traditional assumptions.

Findings

Higgs field acquires mass in a conformal regime with finite self-interaction.

Decay rates to vector bosons may differ from Standard Model predictions.

Higher excited states of the Higgs are difficult to observe with current technology.

Abstract

We analyze the Higgs sector of the Standard Model in the light of recently found exact solutions of its dynamical equation. We work in a conformal regime with zero mass term. It is seen that, provided self-interaction coupling is finite, the field acquires mass and behaves exactly as a vanilla Higgs field at the tree level. Changes are expected in the decay rates to vector bosons. We evaluate this with a quantitative analysis showing how difficult could be to observe higher excited states of the Higgs field presently. This field works like an impostor with respect to the Standard Model formulation.