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arxiv: 1603.05668 · v1 · pith:CH7HUTWYnew · submitted 2016-03-17 · ✦ hep-ph

The minimal linear sigma model for the Goldstone Higgs

classification ✦ hep-ph
keywords sigmahiggslagrangianlinearminimalmodelallowanalyze
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In the context of the minimal SO(5) linear {\sigma}-model, a complete renormalizable Lagrangian -including gauge bosons and fermions- is considered, with the symmetry softly broken to SO(4). The scalar sector describes both the electroweak Higgs doublet and the singlet {\sigma}. Varying the {\sigma} mass would allow to sweep from the regime of perturbative ultraviolet completion to the non-linear one assumed in models in which the Higgs particle is a low-energy remnant of some strong dynamics. We analyze the phenomenological implications and constraints from precision observables and LHC data. Furthermore, we derive the d <= 6 effective Lagrangian in the limit of heavy exotic fermions.

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