Stable mass hierarchies and dark matter from hidden sectors in the scale-invariant standard model

TL;DR

This paper proposes a framework using hidden sectors within a classically scale-invariant standard model to naturally generate and stabilize multiple fundamental scales, including the Planck, neutrino, and electroweak scales, addressing dark matter and neutrino mass issues.

Contribution

It introduces a generic method to construct a hierarchy of scales in scale-invariant theories using hidden sectors, applied to generate the Planck mass and solve dark matter and neutrino mass problems.

Findings

Model is perturbatively renormalisable up to the Planck scale

Successfully generates the Planck mass from scale-invariant principles

Provides a natural explanation for dark matter and neutrino masses

Abstract

Scale invariance may be a classical symmetry which is broken radiatively. This provides a simple way to stabilise the scale of electroweak symmetry breaking against radiative corrections. But for such a theory to be fully realistic, it must actually incorporate a hierarchy of scales, including the Planck and the neutrino mass scales in addition to the electroweak scale. The dark matter sector and the physics responsible for baryogenesis may or may not require new scales, depending on the scenario. We develop a generic way of using hidden sectors to construct a technically-natural hierarchy of scales in the framework of classically scale-invariant theories. We then apply the method to generate the Planck mass and to solve the neutrino mass and dark matter problems through what may be termed the "scale-invariant standard model". The model is perturbatively renormalisable for energy scales up to the Planck mass.