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Fun with Higgsless Theories
High Energy Physics - Phenomenology · Submitted 4 Aug 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the mechanical analog, it is clear that even for arbitrary patterns of symmetry breaking, it is not possible (in the perturbative regime) to raise the Higgs mass by a large factor while keeping the $S$ parameter small.
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The abstract, sentence by sentence
Motivated by recent works on ``Higgsless theories,'' I discuss an $SU(2)_0\times SU(2)^{N}\times U(1)$ gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and $SU(2)_0$. When the couplings, $g_j$, of the other SU(2)s are very large, this reproduces the standard model at the tree level. I calculate the $W$ and $Z$ masses and other electroweak parameters in a perturbative expansion in $1/g_j^2$, and give physical interpretations of the results in a mechanical analog built out of masses and springs. In the mechanical analog, it is clear that even for arbitrary patterns of symmetry breaking, it is not possible (in the perturbative regime) to raise the Higgs mass by a large factor while keeping the $S$ parameter small.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Motivated by recent works on ``Higgsless theories,'' I discuss an $SU(2)_0\times SU(2)^{N}\times U(1)$ gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and $SU(2)_0$. | contribution 0.87 | 0.53 | 0.04 | asserted 0.70 |
| s1 | When the couplings, $g_j$, of the other SU(2)s are very large, this reproduces the standard model at the tree level. | result 0.74 | 0.47 | 0.05 | asserted 0.99 |
| s2 | I calculate the $W$ and $Z$ masses and other electroweak parameters in a perturbative expansion in $1/g_j^2$, and give physical interpretations of the results in a mechanical analog built out of masses and springs. | method 0.82 | 0.96 | 0.07 | asserted 1.00 |
| s3 | In the mechanical analog, it is clear that even for arbitrary patterns of symmetry breaking, it is not possible (in the perturbative regime) to raise the Higgs mass by a large factor while keeping the $S$ parameter small. | result 0.71 | 0.88 | 0.81 | asserted 0.98 |
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The paper
Original abstract
Motivated by recent works on ``Higgsless theories,'' I discuss an $SU(2)_0\times SU(2)^{N}\times U(1)$ gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and $SU(2)_0$. When the couplings, $g_j$, of the other SU(2)s are very large, this reproduces the standard model at the tree level. I calculate the $W$ and $Z$ masses and other electroweak parameters in a perturbative expansion in $1/g_j^2$, and give physical interpretations of the results in a mechanical analog built out of masses and springs. In the mechanical analog, it is clear that even for arbitrary patterns of symmetry breaking, it is not possible (in the perturbative regime) to raise the Higgs mass by a large factor while keeping the $S$ parameter small.
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References
How the literature uses it
14 arXiv papers cite this in 18 sentences
Papers citing it · 14 sentences without a confident label
Cites it as support 1 paper
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These oblique corrections tend to give large and positive contributions to the $ϵ_3$ (or $S$) parameter, so that it is difficult to conciliate the electroweak bounds with a delay of the unitarity violation scale, [ref] .
Holographic approach to a minimal Higgsless model · Introduction · 0.96
Cites it as background 3 papers
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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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We will refer to the models with replicated gauge symmetries as moose models [ref] .
Holographic approach to a minimal Higgsless model · Introduction · 0.91
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