The Composite Higgs and Light Resonance Connection

TL;DR

This paper uses sum-rule techniques to relate the Higgs mass to fermionic resonance masses in composite Higgs models, predicting accessible resonances at the LHC and deviations in Higgs couplings.

Contribution

It applies Weinberg sum-rules to the minimal composite Higgs model to connect Higgs and fermionic resonance masses, providing testable predictions.

Findings

Higgs mass around 125 GeV implies fermionic resonances below 1 TeV.

Resonances are within reach of current LHC searches.

Higgs couplings to fermions deviate from Standard Model predictions.

Abstract

Weinberg sum-rules have been used in the past to successfully predict the electromagnetic contribution to the charged-pion mass as a function of the meson masses. Following the same approach we calculate in the minimal composite Higgs model (MCHM) the Higgs mass as a function of the fermionic resonance masses. The simplicity of the method allows us to study several versions of the MCHM and show that a Higgs with a mass around 125 GeV requires, quite generically, fermionic resonances below the TeV, and therefore accessible at the LHC. We also examine the couplings of the Higgs to the SM fermions and calculate their deviation from the SM value.