Induced spontaneous symmetry breaking chain

TL;DR

This paper explores a model where spontaneous symmetry breaking at high energy levels induces a chain of symmetry violations at lower levels, potentially explaining large energy scale differences and dark matter formation.

Contribution

It introduces a simple scalar portal model demonstrating how induced symmetry breaking can generate multiple energy scales and dark matter fields.

Findings

Large energy scale differences arise from products of small mixing factors.

Dark matter fields can originate from intermediate symmetry-breaking levels.

The model provides a mechanism linking high-energy symmetry breaking to observable phenomena.

Abstract

The article discusses a scenario based on the idea of induced spontaneous symmetry breaking. In this type of scenario, spontaneous symmetry breaking is assumed at some highest energy level, which leads to a chain of several subsequent induced symmetry violations at lower levels caused by small mixtures between levels. We present a simple model in which the idea is realized by small mixing between levels using scalar portals. In this approach, the large difference between energy scales, for example the Planck scale and the electroweak scale, occurs due to the product of several small factors proportional to the mixing coefficients. Dark matter fields can be formed in this scenario from matter fields on one or possibly several intermediate levels between the highest and lowest.