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A symmetry for $\epsilon_K$
High Energy Physics - Phenomenology · Submitted 27 Apr 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show a symmetry that, in the context of a composite Higgs with anarchic flavor, can suppress the dominant CP violating contributions to $K-\bar K$ mixing.
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The abstract, sentence by sentence
We show a symmetry that, in the context of a composite Higgs with anarchic flavor, can suppress the dominant CP violating contributions to $K-\bar K$ mixing. Based on previous extensions of SU(3)$_c$, we consider the case in which the composite sector has a global SU(6) symmetry, spontaneously broken to a subgroup containing SU(3)$\times$SU(3). We show that the interactions with the Standard Model can spontaneously break the remaining symmetry to the diagonal subgroup, identified with the group of color interactions, and naturally suppress $\epsilon_K$. We consider this scenario in the context of the Minimal Composite Higgs Model based on SO(5)/SO(4) for the electroweak sector. By working in the framework of 2-site models, we compute the scalar potential, determine the conditions for a successful breaking of the symmetries and calculate the spectrum of lightest states. We find that $\epsilon_K$ can be suppressed and the top mass reproduced for a large region of the parameter space where the symmetries are dynamically broken. Besides other new resonances, the model predicts the presence of a new singlet scalar state, generally lighter than the Higgs, that could have evaded detection at colliders.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show a symmetry that, in the context of a composite Higgs with anarchic flavor, can suppress the dominant CP violating contributions to $K-\bar K$ mixing. | contribution 0.77 | 0.94 | 0.87 | asserted 0.80 |
| s1 | Based on previous extensions of SU(3)$_c$, we consider the case in which the composite sector has a global SU(6) symmetry, spontaneously broken to a subgroup containing SU(3)$\times$SU(3). | method 0.48 | 0.31 | 0.04 | asserted 0.80 |
| s2 | We show that the interactions with the Standard Model can spontaneously break the remaining symmetry to the diagonal subgroup, identified with the group of color interactions, and naturally suppress $\epsilon_K$. | result 0.80 | 0.87 | 0.37 | asserted 1.00 |
| s3 | We consider this scenario in the context of the Minimal Composite Higgs Model based on SO(5)/SO(4) for the electroweak sector. | method 0.58 | 0.45 | 0.04 | asserted 0.81 |
| s4 | By working in the framework of 2-site models, we compute the scalar potential, determine the conditions for a successful breaking of the symmetries and calculate the spectrum of lightest states. | method 0.97 | 0.95 | 0.04 | asserted 0.91 |
| s5 | We find that $\epsilon_K$ can be suppressed and the top mass reproduced for a large region of the parameter space where the symmetries are dynamically broken. | result 1.00 | 0.96 | 0.47 | asserted 0.74 |
| s6 | Besides other new resonances, the model predicts the presence of a new singlet scalar state, generally lighter than the Higgs, that could have evaded detection at colliders. | result 0.91 | 0.84 | 0.07 | hedged possibility 0.79 |
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The paper
Original abstract
We show a symmetry that, in the context of a composite Higgs with anarchic flavor, can suppress the dominant CP violating contributions to $K-\bar K$ mixing. Based on previous extensions of SU(3)$_c$, we consider the case in which the composite sector has a global SU(6) symmetry, spontaneously broken to a subgroup containing SU(3)$\times$SU(3). We show that the interactions with the Standard Model can spontaneously break the remaining symmetry to the diagonal subgroup, identified with the group of color interactions, and naturally suppress $\epsilon_K$. We consider this scenario in the context of the Minimal Composite Higgs Model based on SO(5)/SO(4) for the electroweak sector. By working in the framework of 2-site models, we compute the scalar potential, determine the conditions for a successful breaking of the symmetries and calculate the spectrum of lightest states. We find that $\epsilon_K$ can be suppressed and the top mass reproduced for a large region of the parameter space where the symmetries are dynamically broken. Besides other new resonances, the model predicts the presence of a new singlet scalar state, generally lighter than the Higgs, that could have evaded detection at colliders.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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There have been a few proposals for these problems, as the presence different scales for different flavors [ref] , the presence of naturally tiny bilinear interactions in anarchic scenarios [ref] , the existence of extended color symmetries in the SCFT [ref] , as well as the presence of flavor symmetries [ref] .
A vector leptoquark for the B-physics anomalies from a composite GUT · Bounds · 0.92
What it cites · 47 sentences without a confident label
Builds on 1 paper
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We will work along the lines of Ref. [ref] , but making the new scalar a pNGB, based on a global symmetry SU(6) spontaneously broken by the strong dynamics to a subgroup containing SU(3)$_L×$SU(3)$_R$.
A Solution to the Flavor Problem of Warped Extra-Dimension Models · Introduction · 0.98
Uses the method or tool of 5 papers
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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] .
Radiative Electroweak Symmetry Breaking in a Little Higgs Model · Introduction · 0.88
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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] .
The Discrete Composite Higgs Model · Introduction · 0.88
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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] .
The 4D Composite Higgs · Introduction · 0.88
Compares with 1 paper
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One can compare this tuning with the results of Ref. [ref] , that has reported a tuning of order $80÷300$ for the MCHM$_14-1$.
Minimal Composite Higgs Models at the LHC · Tuning · 1.00
Cites as background 4 papers
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As usual in models with NGB scalars, this trace leads to a compact expression: [equation] The case of $h_5$ has been extensively studied, as well as its dependence on the fermion representations [ref] .
Light Custodians and Higgs Physics in Composite Models · Phenomenology of the scalar states · 0.91
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As usual in models with NGB scalars, this trace leads to a compact expression: [equation] The case of $h_5$ has been extensively studied, as well as its dependence on the fermion representations [ref] .
Higgs Couplings in Composite Models · Phenomenology of the scalar states · 0.91
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As usual in models with NGB scalars, this trace leads to a compact expression: [equation] The case of $h_5$ has been extensively studied, as well as its dependence on the fermion representations [ref] .
Minimal Composite Higgs Models at the LHC · Phenomenology of the scalar states · 0.91
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