%0 Journal Article %T Holographic models of composite Higgs in the Veneziano limit. Part I. Bosonic sector %+ Laboratoire Charles Coulomb (L2C) %+ Centre de Physique Théorique - UMR 7332 (CPT) %A Elander, Daniel %A Frigerio, Michele %A Knecht, Marc %A Kneur, Jean-Loic %< avec comité de lecture %@ 1126-6708 %J Journal of High Energy Physics %I Springer %V 03 %P 182 %8 2021 %D 2021 %Z 2011.03003 %R 10.1007/JHEP03(2021)182 %K Veneziano %K Dilaton %K Boson: mass spectrum %K Symmetry breaking: flavor %K Gauge field theory %K Holography %K Scaling: dimension %K Mass: gap %K Model: composite %K Technicolor and Composite Models %K AdS-CFT Correspondence %K Gauge-gravity correspondence %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph] %Z Physics [physics]/High Energy Physics - Lattice [hep-lat] %Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles %X 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. %G English %2 https://hal.science/hal-03022749/document %2 https://hal.science/hal-03022749/file/Elander2021_Article_HolographicModelsOfCompositeHi.pdf %L hal-03022749 %U https://hal.science/hal-03022749 %~ UNIV-TLN %~ CNRS %~ UNIV-AMU %~ CPT %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ CPT-PARTICULES %~ ANR %~ UM-2015-2021