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CP violation and FCNC in a warped A4 flavor model
High Energy Physics - Phenomenology · Submitted 28 Jan 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find an overall lower bound on the Kaluza-Klein mass scale M_{KK} > 1.3 TeV from FCNCs, induced by b->s\gamma, differently from flavor anarchic models.
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The abstract, sentence by sentence
We recently proposed a spontaneous A4 flavor symmetry breaking scheme implemented in a warped extra dimensional setup to explain the observed pattern of quark and lepton masses and mixings. The quark mixing is induced by bulk A4 flavons mediating "cross-brane" interactions and a "cross-talk" between the quark and neutrino sectors. In this work we explore the phenomenology of RS-A4 and systematically obtain bounds on the Kaluza-Klein (KK) mass scale implied by flavor changing neutral current (FCNC) processes. In particular, we study the constraints arising from Re(\epsilon'/\epsilon_K), b->s\gamma, the neutron EDM and Higgs mediated FCNCs, while the tree level contribution to \epsilon_K through a KK gluon exchange vanishes. We find an overall lower bound on the Kaluza-Klein mass scale M_{KK} > 1.3 TeV from FCNCs, induced by b->s\gamma, differently from flavor anarchic models. This bound is still weaker than the bound M_{KK} > 4.6 TeV induced by Zb_L\bar{b}_L in RS-A4. The little CP problem, related to the largely enhanced new physics contributions to the neutron EDM in flavor anarchic models, is absent. The subtleties of having the Higgs and flavons in the bulk are taken into account and final predictions are derived in the complete three-generation case.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We recently proposed a spontaneous A4 flavor symmetry breaking scheme implemented in a warped extra dimensional setup to explain the observed pattern of quark and lepton masses and mixings. | background 0.92 | 0.57 | 0.03 | asserted 0.99 |
| s1 | The quark mixing is induced by bulk A4 flavons mediating "cross-brane" interactions and a "cross-talk" between the quark and neutrino sectors. | method 0.52 | 0.27 | 0.03 | asserted 1.00 |
| s2 | In this work we explore the phenomenology of RS-A4 and systematically obtain bounds on the Kaluza-Klein (KK) mass scale implied by flavor changing neutral current (FCNC) processes. | contribution 1.00 | 0.89 | 0.06 | asserted 0.94 |
| s3 | In particular, we study the constraints arising from Re(\epsilon'/\epsilon_K), b->s\gamma, the neutron EDM and Higgs mediated FCNCs, while the tree level contribution to \epsilon_K through a KK gluon exchange vanishes. | contribution 0.81 | 0.75 | 0.06 | asserted 1.00 |
| s4 | We find an overall lower bound on the Kaluza-Klein mass scale M_{KK} > 1.3 TeV from FCNCs, induced by b->s\gamma, differently from flavor anarchic models. | result 1.00 | 0.96 | 0.52 | asserted 1.00 |
| s5 | This bound is still weaker than the bound M_{KK} > 4.6 TeV induced by Zb_L\bar{b}_L in RS-A4. | result 0.89 | 0.78 | 0.13 | asserted 1.00 |
| s6 | The little CP problem, related to the largely enhanced new physics contributions to the neutron EDM in flavor anarchic models, is absent. | result 0.63 | 0.66 | 0.08 | asserted 1.00 |
| s7 | The subtleties of having the Higgs and flavons in the bulk are taken into account and final predictions are derived in the complete three-generation case. | method 0.66 | 0.89 | 0.04 | asserted 0.99 |
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The paper
Original abstract
We recently proposed a spontaneous A4 flavor symmetry breaking scheme implemented in a warped extra dimensional setup to explain the observed pattern of quark and lepton masses and mixings. The quark mixing is induced by bulk A4 flavons mediating "cross-brane" interactions and a "cross-talk" between the quark and neutrino sectors. In this work we explore the phenomenology of RS-A4 and systematically obtain bounds on the Kaluza-Klein (KK) mass scale implied by flavor changing neutral current (FCNC) processes. In particular, we study the constraints arising from Re(\epsilon'/\epsilon_K), b->s\gamma, the neutron EDM and Higgs mediated FCNCs, while the tree level contribution to \epsilon_K through a KK gluon exchange vanishes. We find an overall lower bound on the Kaluza-Klein mass scale M_{KK} > 1.3 TeV from FCNCs, induced by b->s\gamma, differently from flavor anarchic models. This bound is still weaker than the bound M_{KK} > 4.6 TeV induced by Zb_L\bar{b}_L in RS-A4. The little CP problem, related to the largely enhanced new physics contributions to the neutron EDM in flavor anarchic models, is absent. The subtleties of having the Higgs and flavons in the bulk are taken into account and final predictions are derived in the complete three-generation case.
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References
How the literature uses it
5 arXiv papers cite this in 16 sentences
Papers citing it · 12 sentences without a confident label
Cites it as background 4 papers
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In the following we review the most relevant features of the RS-A$_4$ model [ref] and its phenomenological consequences [ref] .
Suppression of flavor violation in an A4 warped extra dimensional model · Introduction · 0.91
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The idea of combining discrete flavor symmetries and extra dimensions is quite attractive and has already been discussed in the literature within the context of large extra dimensions [ref] , warped extra dimensions [ref] and holographic composite Higgs models [ref] .
Warped flavor symmetry predictions for neutrino physics · Introduction · 0.95
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Some simple discrete family symmetries such as $A_4$, $S_4$ have been implemented in a warped extra dimensional setup with custodial symmetry [ref] .
Predictions from warped flavordynamics based on the $T'$ family group · Global Flavour Fit · 0.97
What it cites · 76 sentences without a confident label
Contests 1 paper
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It was found that the dominant contribution to the misalignment is in this case due to $(–)$ KK modes, and does not vanish for an IR localized Higgs, contrary to the conclusions of previous analyses [ref] .
The Impact of Kaluza-Klein Fermions on Standard Model Fermion Couplings in a RS Model with Custodial Protection · New physics from Higgs mediated FCNCs · contest 0.71
Builds on 1 paper
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The modified left- and right-diagonalization matrices for the up and down mass matrix have a simple structure, up to and including linear terms in $x̃_i^u,d$, $ỹ_i^u,d$ and working in the zero mode approximation (ZMA) [ref] .
An A4 flavor model for quarks and leptons in warped geometry · The 4D Yukawa Lagrangian · 0.83
Uses the method or tool of 4 papers
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To compare with the experiment, we use the model independent ratio [ref] $Γ^total(b→sγ)/Γ^SM(b→sγ) ≈1+0.68 Re (δ_7 ) + 0.11 |δ'_7|$ which takes into account the running from $M_KK$ down to $μ_b$, with $Γ^total ∝|C_7(μ_b)|^2 + |C'_7(μ_b)|^2$.
Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach · How stringent is the constraint from $b →sγ$? · 0.81
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The contributions associated with internal KK down quarks in the special interaction basis[The basis in which $F_Q,u,d$ are real and diagonal is referred to as the special interaction basis in [ref] and the rest of this paper.] can be written as
Flavor Structure of Warped Extra Dimension Models · Flavor structure of Dipole operators · 0.81
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In the IR localized Higgs and $Φ$ case, the charged fermion masses arising from the Yukawa coupling to the Higgs, and before diagonalization, are obtained via [ref] : [equation]
Neutrino masses and mixings in non-factorizable geometry · Explicit Calculation of Overlap Corrections · 0.83
Uses data or values from 5 papers
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We adopt the model independent bounds of [ref] , renormalized at the scale $μ_h=200$ GeV as in [ref] , to make the comparison with the flavor anarchic results in [ref] transparent.
Model-independent constraints on Delta F=2 operators and the scale of New Physics · Low energy physics bounds from $ΔF=2$ processes · 0.81
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We adopt the model independent bounds of [ref] , renormalized at the scale $μ_h=200$ GeV as in [ref] , to make the comparison with the flavor anarchic results in [ref] transparent.
Higgs Mediated FCNC's in Warped Extra Dimensions · Low energy physics bounds from $ΔF=2$ processes · 0.81
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We recall [ref] that the latter value corresponds to $(R')^-1 ≃1.8$ TeV and $M_KK≃2.55 (R')^-1 ≃4.6$ TeV, the value for which RS-A$_4$ predicts a NP correction to the $Zb_Lb̅_L$ coupling within $67%$ CL for the bulk parameters in Eq. ([ref]).
An A4 flavor model for quarks and leptons in warped geometry · New physics contributions to the neutron EDM · 0.90
Compares with 4 papers
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It is thus instructive to obtain the NP physics contributions to $b →sγ$ in RS-A$_4$, derive the corresponding bound on the KK mass scale and compare with the flavor anarchic results of [ref] and [ref] .
Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach · How stringent is the constraint from $b →sγ$? · 0.99
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This bound (for $Y=1$) is again significantly lower than the one implied by constraints arising from EWPM [ref] , in particular the $Zb_Lb̅_L$ coupling.
An A4 flavor model for quarks and leptons in warped geometry · New physics and $(ϵ'/ϵ)$ · 0.84
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One can already notice that the suppression of third-generation couplings, as for $t̅t$, is much milder than in the flavor anarchic case [ref] .
Higgs Mediated FCNC's in Warped Extra Dimensions · New physics from Higgs mediated FCNCs · 0.84
Cites as support 2 papers
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This is a pleasing result in RS-A$_4$, indicating that constraints arising from new physics contributions to FCNC processes tend to be weaker than in flavor anarchic models, see for example [ref] and references therein.
Flavor Alignment via Shining in RS · New physics and $(ϵ'/ϵ)$ · 0.96
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This is a pleasing result in RS-A$_4$, indicating that constraints arising from new physics contributions to FCNC processes tend to be weaker than in flavor anarchic models, see for example [ref] and references therein.
Flavor Structure of Warped Extra Dimension Models · New physics and $(ϵ'/ϵ)$ · 0.96
Cites as background 6 papers
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In Sec. [ref] we recall the important components of the RS-A$_4$ model proposed in [ref] , focusing on the Yukawa sector of the theory.
An A4 flavor model for quarks and leptons in warped geometry · Introduction · 0.85
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It has been pointed out, both in the context of a composite Higgs sector of strong dynamics [ref] and warped extra dimensions [ref] , that higher dimensional operators in the low energy 4D effective theory with extra insertions of a Higgs field generally leads to a misalignment between mass and Yukawa matrices and consequently to tree level Higgs mediated FCNCs.
Higgs Mediated FCNC's in Warped Extra Dimensions · New physics from Higgs mediated FCNCs · 0.83
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It has been pointed out, both in the context of a composite Higgs sector of strong dynamics [ref] and warped extra dimensions [ref] , that higher dimensional operators in the low energy 4D effective theory with extra insertions of a Higgs field generally leads to a misalignment between mass and Yukawa matrices and consequently to tree level Higgs mediated FCNCs.
Composite Higgs-Mediated FCNC · New physics from Higgs mediated FCNCs · 0.83
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