Gauge hierarchy problem and scalegenesis

TL;DR

This paper reviews the gauge hierarchy problem, explores classical scale symmetry and scalegenesis, and proposes a scale-invariant extension of the Standard Model involving strongly interacting scalar-gauge theories, with insights from asymptotically safe quantum gravity.

Contribution

It introduces a scale-invariant extension of the Standard Model based on strongly interacting scalar-gauge theories and discusses potential solutions to the hierarchy problem from quantum gravity.

Findings

Scale-invariant models can generate the electroweak scale.

Asymptotically safe quantum gravity offers insights into hierarchy problem solutions.

The proposed model links scale symmetry with strong interactions and quantum gravity.

Abstract

We review the gauge hierarchy problem in the standard model. We discuss the meaning of the quadratic divergence in terms of the Wilsonian renormalization group. Classical scale symmetry, which prohibits dimensionful parameters in the bare action, could play a key role for the understanding of the origin of the electroweak scale. We discuss the scale-generation mechanism, i.e. scalegenesis in scale invariant theories. In this paper, we introduce a scale invariant extension of the SM based on a strongly interacting scalar-gauge theory. It is discussed that asymptotically safe quantum gravity provides a hint about solutions to the gauge hierarchy problem.