Constructing a composite Higgs model with built-in large separation of scales

TL;DR

This paper constructs a composite Higgs model with a natural large separation of scales, using a mass-split system near a conformal fixed point, and analyzes its hadron spectrum showing hyperscaling despite chiral symmetry breaking.

Contribution

It introduces a mass-split model near a conformal fixed point that naturally achieves a large scale separation and constrains the hadron spectrum, with detailed spectral analysis.

Findings

Large scale separation achieved in the model

Hadron spectrum exhibits hyperscaling

Light sector shows chiral symmetry breaking

Abstract

Experimentally the existence of a light 125 GeV Higgs boson is well established but so far no other heavier resonances have been observed. Viable models to describe the Higgs boson as composite particle require hence to exhibit a large separation of scales. This occurs naturally in systems located near a conformal fixed point irrespective whether the system lies outside or inside the conformal window. We demonstrate the latter case by investigating a mass-split model with four light and six heavy flavors. By construction mass-split models exhibit a large separation of scales and feature in addition a highly constrained hadron spectrum. We present results based on the low-lying connected meson spectrum. Although the light sector is chirally broken, we show that it exhibits hyperscaling which is typical for conformal systems.