Minimal conformal extensions of the Higgs sector

TL;DR

This paper proposes a minimal extension to the Standard Model's Higgs sector involving two additional scalars, leading to a testable light Higgs and potential dark matter candidate, consistent with conformal symmetry and stability.

Contribution

It introduces the simplest conformal extension of the Higgs sector with two scalars, predicting observable mixing and new scalar states.

Findings

Predicts a sizable Higgs mixing detectable at colliders

Identifies a light and a heavy scalar in the spectrum

Heavy scalar as a potential dark matter candidate

Abstract

In this work we find the minimal extension of the Standard Model's Higgs sector which can lead to a light Higgs boson via radiative symmetry breaking and is consistent with the phenomenological requirements for a low-energy realization of a conformal theory. The model which turns out to be stable under renormalization group translations is an extension of the Standard Model by two scalar fields, one of which acquires a finite vacuum expectation value and therefore mixes into the physical Higgs. We find that the minimal model predicts a sizable amount of mixing which makes it testable at a collider. In addition to the physical Higgs, the theory's scalar spectrum contains one light and one heavy boson. The heavy scalar's properties render it a potential dark matter candidate.