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Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions

Anibal D. Medina, Nausheen R. Shah, Carlos E. M. Wagner

TL;DR

The paper tackles electroweak symmetry breaking within Gauge-Higgs unification in warped extra dimensions, using an $SO(5)\times U(1)_X$ bulk with custodial symmetry to protect precision observables.A one-loop Coleman–Weinberg potential is computed from 5D spectral functions of gauge and fermion KK modes, yielding a Higgs potential that depends on Hosotani phases via $\sin(\lambda h/f_h)$ terms and is dominated by the top sector.Parameter scans identify regions where EWSB yields correct W/Z masses and third-generation fermion masses while keeping the Higgs SM-like; the predicted Higgs mass lies between the LEP limit and about 160 GeV, with a TeV-scale KK spectrum.The model forecasts distinctive collider signatures, including light KK fermions and gauge resonances with characteristic decays, making it testable at the Tevatron and LHC.

Abstract

We compute the Coleman Weinberg effective potential for the Higgs field in RS Gauge-Higgs unification scenarios based on a bulk SO(5) x U(1)_X gauge symmetry, with gauge and fermion fields propagating in the bulk and a custodial symmetry protecting the generation of large corrections to the T parameter and the coupling of the Z to the bottom quark. We demonstrate that electroweak symmetry breaking may be realized, with proper generation of the top and bottom quark masses for the same region of bulk mass parameters that lead to good agreement with precision electroweak data in the presence of a light Higgs. We compute the Higgs mass and demonstrate that for the range of parameters for which the Higgs boson has Standard Model-like properties, the Higgs mass is naturally in a range that varies between values close to the LEP experimental limit and about 160 GeV. This mass range may be probed at the Tevatron and at the LHC. We analyze the KK spectrum and briefly discuss the phenomenology of the light resonances arising in our model.

Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions

TL;DR

The paper tackles electroweak symmetry breaking within Gauge-Higgs unification in warped extra dimensions, using an $SO(5)\times U(1)_X$ bulk with custodial symmetry to protect precision observables.A one-loop Coleman–Weinberg potential is computed from 5D spectral functions of gauge and fermion KK modes, yielding a Higgs potential that depends on Hosotani phases via $\sin(\lambda h/f_h)$ terms and is dominated by the top sector.Parameter scans identify regions where EWSB yields correct W/Z masses and third-generation fermion masses while keeping the Higgs SM-like; the predicted Higgs mass lies between the LEP limit and about 160 GeV, with a TeV-scale KK spectrum.The model forecasts distinctive collider signatures, including light KK fermions and gauge resonances with characteristic decays, making it testable at the Tevatron and LHC.

Abstract

We compute the Coleman Weinberg effective potential for the Higgs field in RS Gauge-Higgs unification scenarios based on a bulk SO(5) x U(1)_X gauge symmetry, with gauge and fermion fields propagating in the bulk and a custodial symmetry protecting the generation of large corrections to the T parameter and the coupling of the Z to the bottom quark. We demonstrate that electroweak symmetry breaking may be realized, with proper generation of the top and bottom quark masses for the same region of bulk mass parameters that lead to good agreement with precision electroweak data in the presence of a light Higgs. We compute the Higgs mass and demonstrate that for the range of parameters for which the Higgs boson has Standard Model-like properties, the Higgs mass is naturally in a range that varies between values close to the LEP experimental limit and about 160 GeV. This mass range may be probed at the Tevatron and at the LHC. We analyze the KK spectrum and briefly discuss the phenomenology of the light resonances arising in our model.

Paper Structure

This paper contains 11 sections, 64 equations, 9 figures.

Table of Contents

  1. Introduction
  2. 5-Dimensional Model and Gauge Fields
  3. Gauge Boson Form Factors at Low Energy
  4. Fermionic KK profiles
  5. Top Mass and Yukawa Coupling at Low Energy
  6. Coleman--Weinberg potential for $h^{{\hat{a}}}$ in 5D
  7. Numerical Results
  8. Conclusions
  9. $SO(5)$ Generators
  10. Fermion Parity Assignments and Brane Masses
  11. Flip Parities for $Q_{2R}$ and the Introduction of $M_{B_{3}}$

Figures (9)

  • Figure 1: Higgs Mass vs top mass in GeV. Blue (dark gray) crosses represent the linear regime, green (light gray) x's the non-linear regime and black dots where a minimum for the effective potential exists.
  • Figure 2: Higgs Mass vs top mass in GeV, zoomed in region. Blue (dark gray) crosses represent the linear regime, green (light gray) x's the non-linear regime.
  • Figure 3: Higgs Mass (GeV) vs $\tilde{k}$ (TeV). Blue (dark gray) crosses represent the linear regime, green (light gray) x's the non-linear regime and black dots where a minimum for the effective potential exists.
  • Figure 4: Minimum vs $M_{B_1}$. Blue (dark gray) crosses represent the linear regime, green (light gray) x's the non-linear regime. The sparse region for higher values of $M_{B_1}$ is due to a coarser grid scanned in that region.
  • Figure 5: Minimum vs $\tilde{k}$ (TeV). Blue (dark gray) crosses represent the linear regime, green (light gray) x's the non-linear regime
  • ...and 4 more figures