Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector

Abstract

We study strongly-coupled, approximately scale-invariant gauge theories, which develop a mass gap in the infrared. We argue that a large number of fermion flavours is most suitable to provide an ultraviolet completion for the composite Higgs scenario. The holographic approach allows to describe the qualitative features of the non-perturbative dynamics in the Veneziano limit. We introduce new bottom-up holographic models, which incorporate the backreaction of flavour on the geometry, and show that this can correlate the mass gap to the scale of flavour-symmetry breaking. We compute the mass spectrum for the various composite bosonic states, and study its dependence on the scaling dimension of the symmetry-breaking operators, as well as on the number of flavours. The different regions with a light dilaton are critically surveyed. We carefully assess the domain of validity of the holographic approach, and compare it with lattice simulations and the Nambu--Jona-Lasinio model.

Version published in JHEP. Additional discussion of the Veneziano limit and of the dilaton lightness

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• Toward minimal composite Higgs models from regular geometries in bottom-up holography
• Holographic Non-Abelian Flavour Symmetry Breaking
• Coloured spin-1 states in composite Higgs models
• Holography for Sp(2$N_c$) Gauge Dynamics: from Composite Higgs to Technicolour
• Prospects for sub-EW-scale ALP searches via $\gamma +b\bar{b}$ signatures at the LHC using jet substructure techniques
• Electroweak spin-1 resonances in Composite Higgs models
• Improving the cold quark-matter pressure via soft interactions at N3LO