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Radiative Electroweak Symmetry Breaking in a Little Higgs Model
High Energy Physics - Phenomenology · Submitted 4 Jan 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We can then obtain both a vacuum expectation value of $v=246$ GeV and a light Higgs boson mass, which is strongly correlated with the masses of the two heavy top quark partners.
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The abstract, sentence by sentence
We present a new Little Higgs model, motivated by the deconstruction of a five-dimensional gauge-Higgs model. The approximate global symmetry is $SO(5)_0\times SO(5)_1$, breaking to $SO(5)$, with a gauged subgroup of $[SU(2)_{0L}\times U(1)_{0R}]\times O(4)_1$, breaking to $SU(2)_L \times U(1)_Y$. Radiative corrections produce an additional small vacuum misalignment, breaking the electroweak symmetry down to $U(1)_{EM}$. Novel features of this model are: the only un-eaten pseudo-Goldstone boson in the effective theory is the Higgs boson; the model contains a custodial symmetry, which ensures that $\hat{T}=0$ at tree-level; and the potential for the Higgs boson is generated entirely through one-loop radiative corrections. A small negative mass-squared in the Higgs potential is obtained by a cancellation between the contribution of two heavy partners of the top quark, which is readily achieved over much of the parameter space. We can then obtain both a vacuum expectation value of $v=246$ GeV and a light Higgs boson mass, which is strongly correlated with the masses of the two heavy top quark partners. For a scale of the global symmetry breaking of $f=1$ TeV and using a single cutoff for the fermion loops, the Higgs boson mass satisfies 120 GeV $\lesssim M_H\lesssim150$ GeV over much of the range of parameter space. For $f$ raised to 10 TeV, these values increase by about 40 GeV. Effects at the ultraviolet cutoff scale may also raise the predicted values of the Higgs boson mass, but the model still favors $M_H\lesssim 200$ GeV.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a new Little Higgs model, motivated by the deconstruction of a five-dimensional gauge-Higgs model. | contribution 1.00 | 0.91 | 0.05 | asserted 1.00 |
| s1 | The approximate global symmetry is $SO(5)_0\times SO(5)_1$, breaking to $SO(5)$, with a gauged subgroup of $[SU(2)_{0L}\times U(1)_{0R}]\times O(4)_1$, breaking to $SU(2)_L \times U(1)_Y$. | method 0.69 | 0.58 | 0.04 | asserted 1.00 |
| s2 | Radiative corrections produce an additional small vacuum misalignment, breaking the electroweak symmetry down to $U(1)_{EM}$. | result 0.57 | 0.72 | 0.15 | asserted 1.00 |
| s3 | Novel features of this model are: the only un-eaten pseudo-Goldstone boson in the effective theory is the Higgs boson; the model contains a custodial symmetry, which ensures that $\hat{T}=0$ at tree-level; and the potential for the Higgs boson is generated entirely through one-loop radiative corrections. | contribution 0.97 | 0.86 | 0.18 | asserted 1.00 |
| s4 | A small negative mass-squared in the Higgs potential is obtained by a cancellation between the contribution of two heavy partners of the top quark, which is readily achieved over much of the parameter space. | method 0.46 | 0.85 | 0.12 | asserted 0.87 |
| s5 | We can then obtain both a vacuum expectation value of $v=246$ GeV and a light Higgs boson mass, which is strongly correlated with the masses of the two heavy top quark partners. | result 0.98 | 0.88 | 0.19 | asserted 0.53 |
| s6 | For a scale of the global symmetry breaking of $f=1$ TeV and using a single cutoff for the fermion loops, the Higgs boson mass satisfies 120 GeV $\lesssim M_H\lesssim150$ GeV over much of the range of parameter space. | result 1.00 | 0.90 | 0.17 | asserted 0.98 |
| s7 | For $f$ raised to 10 TeV, these values increase by about 40 GeV. | result 1.00 | 0.84 | 0.05 | asserted 0.98 |
| s8 | Effects at the ultraviolet cutoff scale may also raise the predicted values of the Higgs boson mass, but the model still favors $M_H\lesssim 200$ GeV. | result 0.77 | 0.77 | 0.14 | hedged possibility 0.96 |
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The paper
Original abstract
We present a new Little Higgs model, motivated by the deconstruction of a five-dimensional gauge-Higgs model. The approximate global symmetry is $SO(5)_0\times SO(5)_1$, breaking to $SO(5)$, with a gauged subgroup of $[SU(2)_{0L}\times U(1)_{0R}]\times O(4)_1$, breaking to $SU(2)_L \times U(1)_Y$. Radiative corrections produce an additional small vacuum misalignment, breaking the electroweak symmetry down to $U(1)_{EM}$. Novel features of this model are: the only un-eaten pseudo-Goldstone boson in the effective theory is the Higgs boson; the model contains a custodial symmetry, which ensures that $\hat{T}=0$ at tree-level; and the potential for the Higgs boson is generated entirely through one-loop radiative corrections. A small negative mass-squared in the Higgs potential is obtained by a cancellation between the contribution of two heavy partners of the top quark, which is readily achieved over much of the parameter space. We can then obtain both a vacuum expectation value of $v=246$ GeV and a light Higgs boson mass, which is strongly correlated with the masses of the two heavy top quark partners. For a scale of the global symmetry breaking of $f=1$ TeV and using a single cutoff for the fermion loops, the Higgs boson mass satisfies 120 GeV $\lesssim M_H\lesssim150$ GeV over much of the range of parameter space. For $f$ raised to 10 TeV, these values increase by about 40 GeV. Effects at the ultraviolet cutoff scale may also raise the predicted values of the Higgs boson mass, but the model still favors $M_H\lesssim 200$ GeV.
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References
How the literature uses it
10 arXiv papers cite this in 29 sentences
Papers citing it · 20 sentences without a confident label
Builds on it 1 paper
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Here we extend the analysis of Ref. [ref] on universal electroweak corrections by allowing a more general set of gauge parameters.
Constraints on Little Higgs with Fully-Radiative Electroweak Symmetry Breaking · Introduction · 1.00
Uses its method or tool 1 paper
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We use a very simple description of the above dynamics by considering a 2-site model; that is, a four dimensional theory containing the first level of resonances of the SCFT [ref] .
A symmetry for $\epsilon_K$ · Introduction · 0.88
Compares with it 2 papers
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[ref] and [ref] follow different (and seemingly more complicated) approaches.
The Discrete Composite Higgs Model · Conclusions · 0.96
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A “Little-Higgs” inspired 2-site model is described also in [ref] .].
The 4D Composite Higgs · SILH and Discrete Models · 0.88
Cites it as background 3 papers
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Holographic composite Higgs [ref] models based on a warped extra dimension and their deconstructed versions [ref] yield a log divergent or finite Higgs potential.
The Maximally Symmetric Composite Higgs · Tuning in the Higgs Potential · 0.92
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Multisite models are often used as a weakly coupled description of the lowest laying composite resonances [ref] , inspired by five-dimensional realizations of the composite Higgs [ref] and the idea of dimensional deconstruction [ref] .
Minimally extended SILH · Matching to multisite models · 0.94
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Other models similar to the DCHM have been proposed in the context of Little-Higgs theories [ref] .
Light Top Partners for a Light Composite Higgs · Introduction · 0.96
What it cites · 24 sentences without a confident label
Uses the method or tool of 1 paper
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Details of the formalism that we have followed can be found in Ref. [ref] .
Implications for New Physics from Fine-Tuning Arguments: II. Little Higgs Models · Effective Potential · 0.96
Uses data or values from 1 paper
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The combined experimental constraints on $Ŝ$, $Y$, and $W$, taken from Ref. [ref] with the light Higgs fit, give the bounds of Fig. [ref], where the colored area is excluded at the 95% confidence level.
Electroweak symmetry breaking after LEP1 and LEP2 · Electroweak Constraints · 0.92
Compares with 4 papers
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These amounts of fine-tuning are typically below the values for the Minimal Supersymmetric Standard Model in the same range of Higgs masses as shown in Fig. 13 of Ref. [ref] .
Implications for New Physics from Fine-Tuning Arguments: II. Little Higgs Models · Effective Potential · 0.91
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These values are comparable to the minimium values obtained for the Simplest [ref] and Littlest [ref] Little Higgs models, which are displayed in Fig. 13 of Ref. [ref] .
The Littlest Higgs · Effective Potential · 0.98
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These values are comparable to the minimium values obtained for the Simplest [ref] and Littlest [ref] Little Higgs models, which are displayed in Fig. 13 of Ref. [ref] .
The Simplest Little Higgs · Effective Potential · 0.98
Cites as background 8 papers
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For instance, in the Moose-type models, such as the Minimal Moose [ref] , the quartic coupling arises from plaquette operators; in the Littlest Higgs [ref] the quartic coupling arises from a hard mass-squared for the additional scalars in the theory, which are then integrated out by equations of motion; and in the Simplest Little Higgs [ref] model it arises from a small mass term for the scalars.
The Littlest Higgs · Introduction · 0.92
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For instance, in the Moose-type models, such as the Minimal Moose [ref] , the quartic coupling arises from plaquette operators; in the Littlest Higgs [ref] the quartic coupling arises from a hard mass-squared for the additional scalars in the theory, which are then integrated out by equations of motion; and in the Simplest Little Higgs [ref] model it arises from a small mass term for the scalars.
The Minimal Moose for a Little Higgs · Introduction · 0.92
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For instance, in the Moose-type models, such as the Minimal Moose [ref] , the quartic coupling arises from plaquette operators; in the Littlest Higgs [ref] the quartic coupling arises from a hard mass-squared for the additional scalars in the theory, which are then integrated out by equations of motion; and in the Simplest Little Higgs [ref] model it arises from a small mass term for the scalars.
The Simplest Little Higgs · Introduction · 0.92
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