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Constraining Flavour Symmetries At The EW Scale II: The Fermion Processes
High Energy Physics - Phenomenology · Submitted 9 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that it is of great importance to take these constraints into account as they can put severe constraints on the viability of flavour models.
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The abstract, sentence by sentence
We study the set of models in which the Standard Model symmetry is extended with the flavour group A4 and there are three copies of the Standard Model Higgs that transform as a triplet under this group. In this setup, new channels for flavour violating processes can be studied once the A4 representations of the fermions in the theory are given. We show that it is of great importance to take these constraints into account as they can put severe constraints on the viability of flavour models.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the set of models in which the Standard Model symmetry is extended with the flavour group A4 and there are three copies of the Standard Model Higgs that transform as a triplet under this group. | contribution 0.77 | 0.46 | 0.04 | asserted 0.93 |
| s1 | In this setup, new channels for flavour violating processes can be studied once the A4 representations of the fermions in the theory are given. | background 0.43 | 0.16 | 0.07 | hedged possibility 0.74 |
| s2 | We show that it is of great importance to take these constraints into account as they can put severe constraints on the viability of flavour models. | interpretation 0.85 | 0.57 | 0.66 | asserted 0.94 |
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The paper
Original abstract
We study the set of models in which the Standard Model symmetry is extended with the flavour group A4 and there are three copies of the Standard Model Higgs that transform as a triplet under this group. In this setup, new channels for flavour violating processes can be studied once the A4 representations of the fermions in the theory are given. We show that it is of great importance to take these constraints into account as they can put severe constraints on the viability of flavour models.
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References
How the literature uses it
25 arXiv papers cite this in 35 sentences
Papers citing it · 24 sentences without a confident label
Builds on it 1 paper
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We perform an analysis analogous to a study done for the $A_4$ potential in [ref] .
3HDM with $\Delta(27)$ symmetry and its phenomenological consequences · Introduction · 0.81
Cites it as background 10 papers
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This symmetry requires that the charged-lepton Yukawa and mass matrices are diagonal.[Neutrino mass generation is irrelevant for the purposes of this paper, so we refrain from reviewing the possibilities discussed in Ref. [ref] .] Lepton triality may emerge as an approximate symmetry in lepton flavour models with a discrete flavour symmetry which is broken to different subgroups for neutrinos and charged leptons, respectively, see e.g. Refs. [ref] .
Complementarity of $\mu$TRISTAN and Belle II in searches for charged-lepton flavour violation · Lepton triality · 0.80
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Promising results have been obtained also with smaller symmetries than the MFV ones, both continuous [ref] and discrete [ref] .
Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation · Introduction · 0.83
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This has, for example, been discussed in the context of $A_4$ flavour models [ref] which are broken to a $Z_3$ subgroup in the charged lepton sector and $Z_2$ in the neutrino sector.
Lepton-flavour-violating tau decays from triality · Introduction · 0.80
What it cites · 33 sentences without a confident label
Contests 2 papers
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In particular this implies that the decays $μ^- →e^- e^- e^+$ and $μ→eγ$ are not allowed, in the latter case in contrast with what was reported in [ref] , but in agreement with the more recent [ref] .
Dark Scalar Doublets and Neutrino Tribimaximal Mixing from A_4 Symmetry · Model 1 · contest 0.83
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In particular this implies that the decays $μ^- →e^- e^- e^+$ and $μ→eγ$ are not allowed, in the latter case in contrast with what was reported in [ref] , but in agreement with the more recent [ref] .
Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses · Model 1 · contest 0.83
Builds on 1 paper
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As a result, the conclusions driven in [ref] for the case $(v,v,v)$ apply also in this context.
Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential · Model 1 · 0.89
Uses the method or tool of 3 papers
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The points belonging to the plots are not chosen casually, but instead represent parts of the parameter space that fulfill the tests in the Higgs sector, as performed in [ref] (positiveness of mass eigenstates, perturbative unitary constraints, bounds from $Z$ and $W$ decays and oblique corrections).
Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential · $A_4$ models for quark and/or lepton masses · 0.81
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For the mass splitting connected to $F^0 - F^0$ oscillations [ref] , we find ΔM_F = B_F^2 f_F^2 M_F ∑_α[ 1/m_H^α^2 ( |I^α_rs|^2 (1/6 + 1/6 M_F^2/(m_r + m_s)^2 ) + |J^α_rs|^2 (1/6 + 11/6 M_F^2/(m_r + m_s)^2 ) ) ].
Lectures on Higgs Boson Physics in the Standard Model and Beyond · Meson oscillations · 0.88
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For the mass splitting connected to $F^0 - F^0$ oscillations [ref] , we find ΔM_F = B_F^2 f_F^2 M_F ∑_α[ 1/m_H^α^2 ( |I^α_rs|^2 (1/6 + 1/6 M_F^2/(m_r + m_s)^2 ) + |J^α_rs|^2 (1/6 + 11/6 M_F^2/(m_r + m_s)^2 ) ) ].
Phenomenology of Two Higgs Doublet Models with Flavor Changing Neutral Currents · Meson oscillations · 0.88
Compares with 2 papers
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Clearly $η$ participates to the scalar potential, thus the Model 1 presents a scalar sector less minimal of that studied in [ref] .
Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential · Model 1 · 0.97
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For the first picture, we reproduce the result of [ref] that the branching ratio is proportional to $m_0^-4$.
Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses · Model 1 · 0.94
Cites as background 6 papers
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The Model 3 is built as an $A_4$ model for quarks [ref] , where both up- and down-type quarks couple to the Higgs triplet.
A_4 model for the quark mass matrices · Model 3 · 0.84
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The discrepancy between the experimental measurement and the SM theoretical prediction of the magnetic dipole moment of the muon is usually a good test of flavour models [ref] , which could in principle provide new contributions.
Lepton Flavour Violation in Models with A4 Flavour Symmetry · Model 1 · 0.87
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The discrepancy between the experimental measurement and the SM theoretical prediction of the magnetic dipole moment of the muon is usually a good test of flavour models [ref] , which could in principle provide new contributions.
Vacuum Alignment in SUSY A4 Models · Model 1 · 0.87
Discussion
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