Abstract
Abstract We study the Higgs mass in composite Higgs models with partial compositeness, extending the results of ref. [1] to different representations of the composite sector for SO(5)/SO(4) and to the coset SO(6)/SO(5). For a given tuning we find in general a strong correlation between the mass of the top partners and the Higgs mass, akin to the one in supersymmetry. If the theory is natural a Higgs mass of 125 GeV typically requires fermionic partners below TeV which might be within the reach of the present run of LHC. A discussion of CP properties of both cosets is also presented.
Highlights
SUSY new fermionic resonances must be present below the TeV scale to cut-off the top loop quadratic divergence
We study the Higgs mass in composite Higgs models with partial compositeness, extending the results of ref. [1] to different representations of the composite sector for SO(5)/SO(4) and to the coset SO(6)/SO(5)
For a given tuning we find in general a strong correlation between the mass of the top partners and the Higgs mass, akin to the one in supersymmetry
Summary
Where Ω is an SO(5) matrix parametrizing the coset SO(5)L × SO(5)R/SO(5)L+R, and Φ is a five dimensional unit vector whose VEV breaks spontaneously SO(5) to SO(4). There we used as a benchmark f = 500 GeV in order to compare with results obtained in 5D models This value of f leads to a certain tension with electro-weak precision tests that typically requires new contributions (for example to the T −parameter) to agree with the data. In this paper we present our results for the more conservative and perhaps more realistic choice f = 800 GeV corresponding to a tuning parameter ξ = v2/f 2 0.1, where precision tests are more satisfied.1 For this value the spin-1 resonances can be above 3 TeV so that contributions to the S−parameter are sufficiently suppressed and model dependent contributions to T are typically within experimental bounds. As in our previous study we have performed a scan over the 6 fermionic parameters of the model, requiring that the correct electro-weak VEV and top mass are generated.. We provide some analytical explanation of this fact in appendix B
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