Dynamical mass scale and approximate scaling symmetry in the Higgs sector

TL;DR

This paper explores how a dynamically generated mass scale in the Higgs sector leads to an approximate scaling symmetry, resulting in a light scalar that interacts differently than a dilaton, with implications for particle physics models.

Contribution

It introduces a model where a scalar modulus controls the hierarchy of scales, revealing a unique light scalar with distinctive couplings in the Higgs sector.

Findings

A light scalar degree of freedom emerges from the dynamical scale generation.

The scalar couples to gauge bosons and fermions differently than a dilaton.

The model suggests new phenomenological signatures for Higgs physics.

Abstract

We investigate basic consequences of the assumption that the mass scale of the perturbative sector responsible for the spontaneous symmetry breaking is generated dynamically in a theory with a large UV scale. It is assumed that in addition to an elementary scalar there exists an additional scalar, a modulus, which controls the dynamical hierarchy of scales in the manner similar to that of supersymmetric gaugino condensation. It is shown that a light degree of freedom appears that couples to the gauge bosons and to charged fermions in a specific way which is different from the couplings of the dilaton of the exact scale invariance.