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Published on: November 24, 2015
Emergence of Maximal Symmetry.
Csaba Csáki1, Teng Ma2,3, Jing Shu2,4,5,6,7,8
1Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA.
A new global symmetry, termed maximal symmetry, can improve the ultraviolet behavior of the Higgs potential. This symmetry, enforced by gauge symmetries, significantly alters the Higgs potential structure.
Area of Science:
- High Energy Physics
- Theoretical Physics
- Particle Physics
Background:
- The Higgs potential's behavior at high energies (ultraviolet) is crucial for understanding electroweak symmetry breaking.
- Composite models offer alternative explanations for the Higgs boson's properties.
Purpose of the Study:
- To investigate the impact of an emergent global symmetry, maximal symmetry, on the Higgs potential.
- To explore the conditions, consequences, and implementations of maximal symmetry in composite models.
Main Methods:
- Theoretical analysis of emergent global symmetries in composite sectors.
- Examination of gauge symmetry structures that enforce maximal symmetry.
- Development of two simplified models illustrating the concept.
Main Results:
- Maximal symmetry softens the ultraviolet behavior of the Higgs potential.
- The structure of the Higgs potential is significantly modified by maximal symmetry.
- Gauge symmetry structures were identified as the enforcing mechanism for maximal symmetry.
Conclusions:
- Emergent maximal symmetry offers a mechanism to address ultraviolet issues in Higgs potential models.
- The interplay between gauge symmetries and global symmetries is key to constructing viable composite models.
- The presented implementations demonstrate the feasibility of incorporating maximal symmetry.
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