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Higgsless Electroweak Symmetry Breaking from Theory Space
High Energy Physics - Phenomenology · Submitted 22 Dec 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim By allowing the couplings of the U(1) and the final $SU(2)_{N+1}$ to vary, we can fit the $W$ and $Z$ masses, and we find that the coefficient of the term in the amplitude that grows as $E^2/m_W^2$ at high energies is suppressed by a factor of $(N+1)^{-2}$.
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The abstract, sentence by sentence
We investigate unitarity of $W^+W^-$ scattering in the context of theory space models of the form $U(1)\times {[SU(2)]}^N\times SU(2)_{N+1}$, which are broken down to $U(1)_{EM}$ by non-linear $\Sigma$ fields, without the presence of a physical Higgs Boson. By allowing the couplings of the U(1) and the final $SU(2)_{N+1}$ to vary, we can fit the $W$ and $Z$ masses, and we find that the coefficient of the term in the amplitude that grows as $E^2/m_W^2$ at high energies is suppressed by a factor of $(N+1)^{-2}$. In the $N+1\to\infty$ limit the model becomes a 5-dimensional SU(2) gauge theory defined on an interval, where boundary terms at the two ends of the interval break the SU(2) down to $U(1)_{EM}$. These boundary terms also modify the Kaluza-Klein (KK) mass spectrum, so that the lightest KK states can be identified as the $W$ and $Z$ bosons. The $T$ parameter, which measures custodial symmetry breaking, is naturally small in these models. Depending on how matter fields are included, the strongest experimental constraints come from precision electroweak limits on the $S$ parameter.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate unitarity of $W^+W^-$ scattering in the context of theory space models of the form $U(1)\times {[SU(2)]}^N\times SU(2)_{N+1}$, which are broken down to $U(1)_{EM}$ by non-linear $\Sigma$ fields, without the presence of a physical Higgs Boson. | contribution 0.95 | 0.73 | 0.07 | asserted 0.85 |
| s1 | By allowing the couplings of the U(1) and the final $SU(2)_{N+1}$ to vary, we can fit the $W$ and $Z$ masses, and we find that the coefficient of the term in the amplitude that grows as $E^2/m_W^2$ at high energies is suppressed by a factor of $(N+1)^{-2}$. | result 0.97 | 0.95 | 0.48 | asserted 1.00 |
| s2 | In the $N+1\to\infty$ limit the model becomes a 5-dimensional SU(2) gauge theory defined on an interval, where boundary terms at the two ends of the interval break the SU(2) down to $U(1)_{EM}$. | result 0.49 | 0.54 | 0.12 | asserted 1.00 |
| s3 | These boundary terms also modify the Kaluza-Klein (KK) mass spectrum, so that the lightest KK states can be identified as the $W$ and $Z$ bosons. | result 0.60 | 0.65 | 0.08 | asserted 0.95 |
| s4 | The $T$ parameter, which measures custodial symmetry breaking, is naturally small in these models. | result 0.99 | 0.69 | 0.12 | asserted 1.00 |
| s5 | Depending on how matter fields are included, the strongest experimental constraints come from precision electroweak limits on the $S$ parameter. | result 0.42 | 0.38 | 0.07 | asserted 0.61 |
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The paper
Original abstract
We investigate unitarity of $W^+W^-$ scattering in the context of theory space models of the form $U(1)\times {[SU(2)]}^N\times SU(2)_{N+1}$, which are broken down to $U(1)_{EM}$ by non-linear $\Sigma$ fields, without the presence of a physical Higgs Boson. By allowing the couplings of the U(1) and the final $SU(2)_{N+1}$ to vary, we can fit the $W$ and $Z$ masses, and we find that the coefficient of the term in the amplitude that grows as $E^2/m_W^2$ at high energies is suppressed by a factor of $(N+1)^{-2}$. In the $N+1\to\infty$ limit the model becomes a 5-dimensional SU(2) gauge theory defined on an interval, where boundary terms at the two ends of the interval break the SU(2) down to $U(1)_{EM}$. These boundary terms also modify the Kaluza-Klein (KK) mass spectrum, so that the lightest KK states can be identified as the $W$ and $Z$ bosons. The $T$ parameter, which measures custodial symmetry breaking, is naturally small in these models. Depending on how matter fields are included, the strongest experimental constraints come from precision electroweak limits on the $S$ parameter.
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References
How the literature uses it
14 arXiv papers cite this in 19 sentences
Papers citing it · 15 sentences without a confident label
Cites it as background 3 papers
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We review in this Section the continuum limit of the moose model of [ref] and the holographic approach for gauge fields proposed in [ref] .
Holographic approach to a minimal Higgsless model · Holographic analysis of the gauge sector · 0.89
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An interesting alternative is that of Higgsless models, or the wide class of theories (see e.g. Ref. [ref] ) where the $SU(2)_L ×U(1)_Y →U(1)_Q$ breaking is generated by some new strong dynamics above the Fermi scale ($v=(√(2)G_F)^-1/2≃246$ GeV).
Drell-Yan production of Heavy Vectors in Higgsless models · Introduction · 0.95
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An interesting alternative to the Higgs mechanism is the wide class of Higgsless models: theories where there are no light scalar particles and the $SU(2)_L ×U(1)_Y →U(1)_Q$ breaking is generated by new strong dynamics above the electroweak scale (see e.g. Ref. [ref] ).
Effective theories of electroweak symmetry breaking · Light vectors in the electroweak chiral Lagrangian · 0.88
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