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General Composite Higgs Models

May, 2012
51 pages
Published in:
  • JHEP 08 (2012) 013
e-Print:
DOI:
Report number:
  • SISSA-11-2012-EP
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Abstract: (arXiv)
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.
Note:
  • 51 pages, 12 figures, 5 appendices; v2: Corrected estimates of \delta g_b in appendix B, references fixed, several minor improvements; v3: minor improvements, to appear in JHEP
  • Higgs model: composite
  • potential: Higgs
  • Goldstone particle: composite
  • fermion: resonance
  • electroweak interaction: precision measurement
  • sum rule: Weinberg
  • Higgs particle: mass
  • SO(5)/SO(4)
  • sigma model
  • resonance: vector
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