Confront a dilaton model with the LHC measurements

TL;DR

This paper tests a dilaton model derived from geometric principles against LHC measurements, exploring how future Higgs pair production data could confirm or exclude dilaton dominance in the Higgs sector.

Contribution

It introduces a dilaton model within the metric affine theory framework and analyzes its compatibility with current and future LHC Higgs data.

Findings

LHC constraints limit the parameter space for dilaton dominance.

Higgs pair production measurements can confirm or exclude dilaton models.

The model predicts specific features in Higgs self-couplings.

Abstract

The origin of the Higgs boson ($H_{125}$), discovered in 2012, remains a mystery. In the metric affine theory (MAT) framework, we study the scalar potential and investigate a couple of scenarios for the symmetry breaking mechanisms with a dilaton model which is derived from the geometry. The LHC constraints for the couplings of Yukawa couplings, Higgs-weak vector bosons and Higgs self-couplings, in this model are examined, which identify the parameter space where the discovered Higgs boson $m_h=125$ GeV can be dilaton-dominant and the features of Higgs self-couplings are explored. It is found that via the measurements of Higgs pair production, the High Luminosity LHC (HL-LHC) running can either confirm or rule out the dilaton dominance.