Conformal Symmetry and the Standard Model

TL;DR

This paper explores how conformal symmetry, extended with right-chiral neutrinos and an extra scalar, can naturally stabilize the hierarchy and remain consistent with data, predicting testable signatures at the LHC.

Contribution

It demonstrates that a minimally extended Standard Model with conformal symmetry and right-chiral neutrinos can be viable up to the Planck scale.

Findings

Conformal symmetry can stabilize the hierarchy in the Standard Model.

The extended model remains consistent with current experimental data.

Unique decay signatures of the extra scalar can be tested at the LHC.

Abstract

We re-examine the question of radiative symmetry breaking in the standard model in the presence of right-chiral neutrinos and a minimally enlarged scalar sector. We demonstrate that, with these extra ingredients, the hypothesis of classically unbroken conformal symmetry, besides naturally introducing and stabilizing a hierarchy, is compatible with all available data; in particular, there exists a set of parameters for which the model may remain viable even up to the Planck scale. The decay modes of the extra scalar field provide a unique signature of this model which can be tested at LHC.