# Holographic conformal transition and light scalars

## TL;DR

This paper uses holographic models to study the emergence of light scalar particles near the conformal transition in strongly-coupled theories, aligning with lattice results and offering new insights into the mass spectrum and hierarchy problem.

## Contribution

It introduces an analytic formula for the dilaton mass in holographic models and demonstrates the similarity of meson spectra near the conformal transition to lattice findings.

## Key findings

- The dilaton is always the lightest resonance, but not parametrically lighter.
- The meson mass spectrum pattern matches lattice simulation results.
- Holographic models suggest new solutions to the hierarchy problem.

## Abstract

We present an holographic approach to strongly-coupled theories close to the conformal to non-conformal transition, trying to understand the presence of light scalars as recent lattice simulations seem to suggest. We find that the dilaton is always the lightest resonance, although not parametrically lighter than the others. We provide a simple analytic formula for the dilaton mass that allows us to understand this behavior. The pattern of the meson mass spectrum, as we get close to the conformal transition, is found to be quite similar to that in lattice simulations. We provide further predictions from holography that can be checked in the future.These five-dimensional models can also implement new solutions to the hierarchy problem, having implications for searches at the LHC and cosmology.