The Natural Composite Higgs

Abstract

The discovery of the Higgs boson has put considerable pressure on theories that aim to solve the hierarchy problem. Scenarios in which the Higgs is a pseudo Nambu-Goldstone boson (NGB) of some new strong dynamics must possess a number of non-generic features in order to pass the progressively stringent collider bounds and simultaneously meet our naturalness criteria. Among these features are the existence of light fermionic partners of the top quark and an efficient collective breaking of the Nambu-Goldstone symmetry. The top partners have to be not only parametrically lighter than the other composites, but also weakly coupled to them in order to suppress unwanted flavor-violating effects. A Natural pseudo-NGB Higgs model should also be able to fit the LHC Higgs data without fine-tuning. Among theories with comparable compositeness scales, those that predict smaller corrections in the Higgs couplings to the standard model particles are therefore preferred. A concrete implementation of these ingredients is discussed in a scenario based on the coset SU(5)/SO(5). The fit to the current LHC Higgs data is significantly improved compared to the minimal scenarios, and a fully natural explanation of both the weak scale and the Higgs boson mass can be attained. An important role is played by an independent quartic Higgs coupling generated by UV-sensitive loops involving electroweak doublets mixing with the top partners. The collider signature of this framework is shown to be rather model-dependent; in particular, the exotic scalars can alter the phenomenology of the top partners at a qualitative level.

41 pages plus Appendix (JHEP style), 8 figures. Version 2: references added/corrected, minor changes (results unchanged)

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• Vacuum misalignment and pattern of scalar masses in the SU(5)/SO(5) composite Higgs model
• Unleashing the full power of LHCb to probe Stealth New Physics
• Towards the fate of natural composite Higgs model through single $t^{\prime }$ search at the 8 TeV LHC
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• WIMPs and Un-Naturalness
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• Radiatively Induced Type II seesaw and Vector-like 5/3 Charge Quarks
• Novel $B$-decay signatures of light scalars at high energy facilities
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• Spectroscopy of SU(4) lattice gauge theory with fermions in the two index anti-symmetric representation