Abstract
An emergent global symmetry of the composite sector (called maximal symmetry) can soften the ultraviolet behavior of the Higgs potential and also significantly modify its structure. We explain the conditions for the emergence of maximal symmetry as well as its main consequences and present two simple implementations. In both cases the emergence of maximal symmetry is enforced by the structure of the gauge symmetries.
Highlights
An emergent global symmetry of the composite sector can soften the ultraviolet behavior of the Higgs potential and significantly modify its structure
In both cases the emergence of maximal symmetry is enforced by the structure of the gauge symmetries
The potential for such an elementary scalar particle is generically sensitive to physics at extremely high scales, rendering the Higgs potential unstable to quantum corrections
Summary
An emergent global symmetry of the composite sector (called maximal symmetry) can soften the ultraviolet behavior of the Higgs potential and significantly modify its structure. Composite Higgs models are based on a coset G=H corresponding to the G → H symmetry breaking pattern and the composite sector only has an H symmetry. While the effects of maximal symmetry are similar to collective breaking usually employed in composite Higgs models, conceptually it is quite different and has distinct consequences.
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