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General composite Higgs models

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Abstract

We construct a general class of pseudo-Goldstone composite Higgs models, within the minimal SO(5)/SO(4) coset structure, that are not necessarily of moose-type. We characterize the main properties these models should have in order to give rise to a Higgs mass around 125 GeV. We assume the existence of relatively light and weakly coupled spin 1 and 1/2 resonances. In absence of a symmetry principle, we introduce the Minimal Higgs Potential (MHP) hypothesis: the Higgs potential is assumed to be one-loop dominated by the SM fields and the above resonances, with a contribution that is made calculable by imposing suitable generalizations of the first and second Weinberg sum rules. We show that a 125 GeV Higgs requires light, often sub-TeV, fermion resonances. Their presence can also be important for the models to successfully pass the electroweak precision tests. Interestingly enough, the latter can also be passed by models with a heavy Higgs around 320 GeV. The composite Higgs models of the moose-type considered in the literature can be seen as particular limits of our class of models.

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Authors and Affiliations

  1. SISSA and INFN, Via Bonomea 265, I-34136, Trieste, Italy

    David Marzocca, Marco Serone & Jing Shu

  2. ICTP, Strada Costiera 11, I-34151, Trieste, Italy

    Marco Serone

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  1. David Marzocca
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  2. Marco Serone
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  3. Jing Shu
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Correspondence to Marco Serone.

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Marzocca, D., Serone, M. & Shu, J. General composite Higgs models. J. High Energ. Phys. 2012, 13 (2012). https://doi.org/10.1007/JHEP08(2012)013

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