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Higgs Couplings in Composite Models
High Energy Physics - Phenomenology · Submitted 2 Aug 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the couplings to gluons and photons are insensitive to the elementary-composite mixings and thus not affected by light fermionic resonances.
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The abstract, sentence by sentence
We study Higgs couplings in the composite Higgs model based on the coset SO(5)/SO(4). We show that the couplings to gluons and photons are insensitive to the elementary-composite mixings and thus not affected by light fermionic resonances. Moreover, at leading order in the mixings the Higgs couplings to tops and gluons, when normalized to the Standard Model (SM), are equal. These properties are shown to be direct consequences of the Goldstone symmetry and of the assumption of partial compositeness. In particular, they are independent of the details of the elementary-composite couplings and, under the further assumption of CP invariance, they are also insensitive to derivative interactions of the Higgs with the composite resonances. We support our conclusions with an explicit construction where the SM fermions are embedded in the 14 dimensional representation of SO(5).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study Higgs couplings in the composite Higgs model based on the coset SO(5)/SO(4). | contribution 0.93 | 0.84 | 0.04 | asserted 0.75 |
| s1 | We show that the couplings to gluons and photons are insensitive to the elementary-composite mixings and thus not affected by light fermionic resonances. | result 1.00 | 0.93 | 0.42 | asserted 1.00 |
| s2 | Moreover, at leading order in the mixings the Higgs couplings to tops and gluons, when normalized to the Standard Model (SM), are equal. | result 1.00 | 0.92 | 0.29 | asserted 1.00 |
| s3 | These properties are shown to be direct consequences of the Goldstone symmetry and of the assumption of partial compositeness. | interpretation 0.99 | 0.81 | 0.22 | asserted 1.00 |
| s4 | In particular, they are independent of the details of the elementary-composite couplings and, under the further assumption of CP invariance, they are also insensitive to derivative interactions of the Higgs with the composite resonances. | result 0.74 | 0.81 | 0.30 | asserted 1.00 |
| s5 | We support our conclusions with an explicit construction where the SM fermions are embedded in the 14 dimensional representation of SO(5). | method 0.80 | 0.92 | 0.04 | asserted 1.00 |
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The paper
Original abstract
We study Higgs couplings in the composite Higgs model based on the coset SO(5)/SO(4). We show that the couplings to gluons and photons are insensitive to the elementary-composite mixings and thus not affected by light fermionic resonances. Moreover, at leading order in the mixings the Higgs couplings to tops and gluons, when normalized to the Standard Model (SM), are equal. These properties are shown to be direct consequences of the Goldstone symmetry and of the assumption of partial compositeness. In particular, they are independent of the details of the elementary-composite couplings and, under the further assumption of CP invariance, they are also insensitive to derivative interactions of the Higgs with the composite resonances. We support our conclusions with an explicit construction where the SM fermions are embedded in the 14 dimensional representation of SO(5).
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References
How the literature uses it
28 arXiv papers cite this in 45 sentences
Papers citing it · 26 sentences without a confident label
Contests it 1 paper
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Note also that the above corrections do not take the form claimed in [ref] , i.e. $O(ϵ^2 m_ψ^2) ∼O(ϵ^2 s_ψ_L^2 s_ψ_R^2)$, where $m_ψ$ denotes the mass of the SM field (this has also been observed in Ref. [ref] ).
Minimal Composite Higgs Models at the LHC · Models based on the $1$, $5$, $10$ and $14$ Reps. of SO(5) · contest 0.72
Compares with it 1 paper
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Our results in Fig. [ref] not only confirm the findings in Ref. [ref] , but also provide an analytic understanding of the strong correlation.
Modification of Higgs Couplings in Minimal Composite Models · The Top Sector · 0.81
Cites it as support 2 papers
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This is motivated by the observation that in the composite pseudo-Goldstone Higgs scenario the top partner loop contribution cancels against the contribution of the wave function renormalization of the top quark [ref] .
Probing the Higgs boson through Yukawa force · Composite Higgs models · 1.00
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In particular, light top partners do not give large contributions to such couplings in the models considered here [ref] .
Beyond the Minimal Top Partner Decay · Goldstone-Singlet Phenomenology · 0.96
Cites it as background 13 papers
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Before computing the $ggh$ coupling strength, it is worth recalling the observations made in Refs. [ref] , which states that, under the assumption of partial compositeness,
Modification of Higgs Couplings in Minimal Composite Models · General analysis · 0.89
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They are denoted in literature as MCHM$_14_L-14_R$, MCHM$_14_L-5_R$, and MCHM$_5_L-14_R$ [ref] .
Constraining Composite Higgs Models using LHC data · Introduction · 0.93
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For models with only $SO(4)$ singlet partners of light quarks, the interactions of the light quarks to the Higgs are SM-like.[For a more detailed discussion of Higgs couplings for the composite Higgs models, see the recent studies [ref] .] Also, the composite quark partner $U_h$ does not yield sizable BSM contributions to the one-loop induced $hγγ$ and $hgg$ vertices.
Constraints on composite quark partners from Higgs searches · Constraining composite light quark partners with Higgs searches · 0.86
What it cites · 49 sentences without a confident label
Uses the method or tool of 1 paper
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The signal strengths are assumed to follow a Gaussian distribution and we fit the data by minimizing a $χ^2$ as described in detail in Ref. [ref] .
Higgs discovery: the beginning or the end of natural EWSB? · Details of the experimental fit · 0.98
Uses data or values from 2 papers
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The statistical analysis is performed using the latest signal strenght data given by the Tevatron experiments and by ATLAS and CMS at Moriond 2013 and soon after; a summary of the signal strengths in the individual channels can be found in Refs. [ref] .
Higgs At Last · Details of the experimental fit · 0.80
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The statistical analysis is performed using the latest signal strenght data given by the Tevatron experiments and by ATLAS and CMS at Moriond 2013 and soon after; a summary of the signal strengths in the individual channels can be found in Refs. [ref] .
The universal Higgs fit · Details of the experimental fit · 0.80
Cites as support 3 papers
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This cancellation was found to take place in several models where the Higgs is a pseudo-Goldstone boson [ref] , and implies that the presence of light fermionic resonances would not affect the production rate of the Higgs via gluon fusion, nor its decay width into photons.
Pseudo-Goldstone Higgs Production via Gluon Fusion · General Composite Higgs Models · 1.00
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This cancellation was found to take place in several models where the Higgs is a pseudo-Goldstone boson [ref] , and implies that the presence of light fermionic resonances would not affect the production rate of the Higgs via gluon fusion, nor its decay width into photons.
On the production of a composite Higgs boson · General Composite Higgs Models · 1.00
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This cancellation was found to take place in several models where the Higgs is a pseudo-Goldstone boson [ref] , and implies that the presence of light fermionic resonances would not affect the production rate of the Higgs via gluon fusion, nor its decay width into photons.
Light Custodians and Higgs Physics in Composite Models · General Composite Higgs Models · 1.00
Cites as background 1 paper
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See for example Ref. [ref] for the complete expressions.
A First Top Partner Hunter's Guide · Sigma model · 0.93
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