Abstract

We analyze models of electroweak symmetry breaking in warped 5-dimensional space with gauge bosons and fermions in the bulk. The Higgs boson is identified with the 5th component of a gauge field. We dynamically generate the Higgs potential using a competition between the top quark multiplet and another fermion multiplet to create a little hierarchy characterized by a small parameter s = v/f. Using a Green's function method, we compute the properties of the model systematically as a power series in s. We discuss the constraints on this model from the measured value of the Higgs mass, the masses of top quark partners, and precision electroweak observables.

Highlights

  • The Standard Model of particle physics (SM) gives an excellent description of elementary particle interactions as observed today at particle accelerators

  • One is to keep the assumption that the breaking is due to a fundamental Higgs field but add a strong symmetry such as supersymmetry that constrains its behavior

  • Since supersymmetry allows a weak-coupling description, it is possible to work out the phenomenology in great detail, defining a “minimal supersymmetric Standard Model” and canonical nonminimal extensions, and exploring the properties of these models in every corner of their parameter spaces [1,2,3]

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Summary

INTRODUCTION

The Standard Model of particle physics (SM) gives an excellent description of elementary particle interactions as observed today at particle accelerators. The most important qualitative phenomenon in this model, the spontaneous breaking of its gauge symmetry SUð2Þ × Uð1Þ, is put in by hand, by the assumption of a fundamental Higgs scalar field with negative mass parameter This assumption makes it impossible, within the model, to compute the Yukawa couplings that determine the fermion mass spectrum. In the simplest RS models with gauge-Higgs unification, the masses of these particles are all approximately equal The ratio of these masses can be corrected by an idea that fits naturally with the picture that the RS model is a dual description of a strong-coupling theory in four dimensions. The last sections of this paper will analyze the effects of new physics on precision electroweak observables in this two-parameter space of models. The notation follows that of [21]

Overview
Group structure and boundary conditions
Identification of the Higgs field
Fermion competition and electroweak symmetry breaking
Top quark embeddings
Expected mass ratios
Mass ratios in simple models
UV BOUNDARY KINETIC TERMS
Boundary gauge kinetic term
WÆ and charged KK bosons
Boundary top quark kinetic term
UV and IR gauges
The complete Coleman-Weinberg potential and its implication
Allowed region of parameter space
Mass spectrum of the top partner
PRECISION ELECTROWEAK OBSERVABLES
Simplified S and T
Loop corrections to T
Phenomenological implications
VIII. CONCLUSIONS
Building blocks
Spin 1 fields
Solution for AAB
CA: ðB9Þ
Boundary kinetic term for gauge fields
A5 : ðC7Þ
Moments of fermion zero modes
W propagator
Z propagator
Gtð0Þ2
Full Text
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