On the Tuning and the Mass of the Composite Higgs

TL;DR

This paper examines the tuning and mass predictions of composite Higgs models with partial compositeness, emphasizing the necessity of light top partners (~1 TeV) for a 125 GeV Higgs, and supports ongoing LHC searches.

Contribution

It classifies composite Higgs models based on top partner quantum numbers and links moderate tuning to the presence of light top partners around 1 TeV.

Findings

Light Higgs of 125 GeV requires light top partners (~1 TeV).

Minimal tuning comparable to Natural SUSY models.

Supports LHC searches for top partners in natural composite Higgs scenarios.

Abstract

We analyze quantitatively the tuning of composite Higgs models with partial compositeness and its interplay with the predicted Higgs mass. In this respect we identify three classes of models, characterized by different quantum numbers of the fermionic colored resonances associated with the top quark, the so-called top partners. The main result of this classification is that in all models with moderate tuning a light Higgs, of 125 GeV mass, requires the presence of light top partners, around 1 TeV. The minimal tuning is comparable to the one of the most attractive supersymmetric models in particular the ones realizing Natural SUSY. This gives further support to an extensive program of top partners searches at the LHC that can already probe the natural region of composite Higgs models.