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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Difficulties for five-dimensional gauge-higgs unification.
Bohdan Grzadkowski1, José Wudka
1Institute of Theoretical Physics, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland. bohdan. grzadkowski@fuw.edu.pl
Physical Review Letters
|December 13, 2006
Summary
Gauge-Higgs unification in five dimensions faces challenges. Theories with specific boundary conditions and the Hosotani mechanism are inconsistent with experimental electroweak measurements, limiting the low-energy vector-boson spectrum.
Area of Science:
- High-Energy Physics
- Theoretical Physics
- Particle Physics
Background:
- Investigates five-dimensional gauge theories with compactified extra dimensions (S1/Z2 orbifold).
- Explores gauge-Higgs unification where gauge boson components act as the Higgs boson.
- Considers gauge symmetry breaking via orbifold boundary conditions and the Hosotani mechanism.
Purpose of the Study:
- To analyze the consistency of specific five-dimensional gauge theories with experimental data.
- To determine if the low-energy vector-boson spectrum can be limited to W(+/-), Z, and gamma.
- To evaluate the viability of gauge-Higgs unification under realistic experimental constraints.
Main Methods:
- Theoretical analysis of five-dimensional gauge theories on an S1/Z2 orbifold.
- Application of orbifold boundary conditions and the Hosotani mechanism for symmetry breaking.
- Comparison of theoretical predictions with experimental requirements for sin2θW and ρ.
Main Results:
- Demonstrates inconsistency for theories without brane gauge kinetic terms or anomalous factors.
- Shows that the assumption of a W(+/-), Z, and gamma-only spectrum contradicts experimental values.
- Highlights that sin2θW ≈ 1/4 and ρ = 1 are not simultaneously satisfied under these conditions.
Conclusions:
- The considered gauge-Higgs unification models are inconsistent with electroweak experimental data.
- The low-energy vector-boson spectrum cannot be restricted to only W(+/-), Z, and gamma.
- Further theoretical refinements or alternative models are needed for gauge-Higgs unification.
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