Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model

Hajime Ishimori; Morimitsu Tanimoto

RECORD

Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model

Hajime Ishimori, Morimitsu Tanimoto

High Energy Physics - Phenomenology · Submitted 10 Dec 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We obtain a lower bound for the ratio of $\mu\rightarrow e\gamma$ as $10^{-13}$ if $m_{\text{SUSY}}$ and $m_{1/2}$ are below 500GeV.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv ID1012.2232 (version 2)

Pith IDQJCSY73K, Pith's permanent record of this paper and its review

CitationHajime Ishimori, Morimitsu Tanimoto. "Slepton Mass Matrices, mu -> e gamma Decay and EDM in SUSY S4 Flavor Model." arXiv:1012.2232 (2010). https://pith.science/paper/QJCSY73K

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,912 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We discuss slepton mass matrices in the $S_4$ flavor model with SUSY SU(5) GUT. By considering the gravity mediation within the framework of supergravity theory, we estimate the SUSY breaking terms in the slepton mass matrices, which contribute to the $\mu \rightarrow e + \gamma$ decay. We obtain a lower bound for the ratio of $\mu\rightarrow e\gamma$ as $10^{-13}$ if $m_{\text{SUSY}}$ and $m_{1/2}$ are below 500GeV. The off diagonal terms of slepton mass matrices also contribute to EDM of leptons. The predicted electron EDM is around $10^{-29}-10^{-28}$cm. Our predictions are expected to be tested in the near future experiment.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss slepton mass matrices in the $S_4$ flavor model with SUSY SU(5) GUT.	contribution 0.80	0.59	0.04	asserted 0.82
s1	By considering the gravity mediation within the framework of supergravity theory, we estimate the SUSY breaking terms in the slepton mass matrices, which contribute to the $\mu \rightarrow e + \gamma$ decay.	method 0.95	0.88	0.07	asserted 0.94
s2	We obtain a lower bound for the ratio of $\mu\rightarrow e\gamma$ as $10^{-13}$ if $m_{\text{SUSY}}$ and $m_{1/2}$ are below 500GeV.	result 1.00	0.92	0.37	asserted 1.00
s3	The off diagonal terms of slepton mass matrices also contribute to EDM of leptons.	contribution 0.53	0.39	0.06	asserted 0.99
s4	The predicted electron EDM is around $10^{-29}-10^{-28}$cm.	result 1.00	0.89	0.19	asserted 0.80
s5	Our predictions are expected to be tested in the near future experiment.	future work 0.85	0.28	0.11	hedged possibility 0.97

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.78.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We discuss slepton mass matrices in the $S_4$ flavor model with SUSY SU(5) GUT. By considering the gravity mediation within the framework of supergravity theory, we estimate the SUSY breaking terms in the slepton mass matrices, which contribute to the $\mu \rightarrow e + \gamma$ decay. We obtain a lower bound for the ratio of $\mu\rightarrow e\gamma$ as $10^{-13}$ if $m_{\text{SUSY}}$ and $m_{1/2}$ are below 500GeV. The off diagonal terms of slepton mass matrices also contribute to EDM of leptons. The predicted electron EDM is around $10^{-29}-10^{-28}$cm. Our predictions are expected to be tested in the near future experiment.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

6 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Compares with it 1 paper

That is contrast to the case of the conventional non-abelian discrete flavor symmetric model [ref] .

Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models · Introduction · 0.97

Cites it as background 3 papers

The SUSY flavor phenomena of LFV for the lepton sector were discussed by introducing gauge singlet scalars (flavons) in the non-Abelian discrete symmetry [ref] .

Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models · LFV in SUSY flavor violation · 0.96
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
The SUSY flavor phenomena of lepton flavor violations (LFV) for lepton sector have been discussed in the traditional flavor symmetry models [ref] and modular flavor models [ref] .

A minimal modular invariant neutrino model · Lepton flavor violation in the minimal modular model · 1.00

What it cites · 40 sentences without a confident label

Uses the method or tool of 2 papers

The renormalization group (RG) equations are given by [ref] ; [equation] In these expressions, $g_1,2$ are the gauge couplings of SU(2)$_L×U(1)_Y$, $t=lnμ/μ_0$, $M_1,2$ are the corresponding gaugino mass terms, $Y_e,d≡M_l,d/v_d$ are the Yukawa couplings for charged leptons and down quarks, $A_e= (m^2_LR)/v_d$, and [equation] where $m^2_qL$, $m^2_dL$, $m^2_uR$ are mass matrices of squarks and $m_H_u$ and $m_H_d$ are the Higgs masses.

Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings · Renormalization group effect · 0.92
The renormalization group (RG) equations are given by [ref] ; [equation] In these expressions, $g_1,2$ are the gauge couplings of SU(2)$_L×U(1)_Y$, $t=lnμ/μ_0$, $M_1,2$ are the corresponding gaugino mass terms, $Y_e,d≡M_l,d/v_d$ are the Yukawa couplings for charged leptons and down quarks, $A_e= (m^2_LR)/v_d$, and [equation] where $m^2_qL$, $m^2_dL$, $m^2_uR$ are mass matrices of squarks and $m_H_u$ and $m_H_d$ are the Higgs masses.

Lepton-Flavor Violation via Right-Handed Neutrino Yukawa Couplings in Supersymmetric Standard Model · Renormalization group effect · 0.92

Uses data or values from 1 paper

Putting typical values of quark masses at GUT scale [ref] , $M=10^12 GeV$, $λ=0.1$, and $tanβ=5$ ($v_d≃34 GeV$, $v_u≃170 GeV$), we have [equation] where all Yukawa couplings are assumed to be one.

Updated Estimate of Running Quark Masses · Renormalization group effect · 0.99

Cites as support 1 paper

Our $S_4$ flavor model [ref] is an attractive one because it gives the proper quark flavor mixing angles as well as the tri-bimaximal mixing of neutrino flavors.

Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY · Introduction · 0.98

Cites as background 19 papers

There also appeared the $S_4$ flavor model in $SU(5)$ SUSY GUT [ref] and the Pati-Salam SUSY GUT [ref] , taking account of the next-to-leading order of mass operators.

Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY · Introduction · 0.85
There also appeared the $S_4$ flavor model in $SU(5)$ SUSY GUT [ref] and the Pati-Salam SUSY GUT [ref] , taking account of the next-to-leading order of mass operators.

Adjoint SUSY $SU(5)$ Grand Unified Model with $S_4$ Flavor Symmetry · Introduction · 0.85
There also appeared the $S_4$ flavor model in $SU(5)$ SUSY GUT [ref] and the Pati-Salam SUSY GUT [ref] , taking account of the next-to-leading order of mass operators.

The interplay between grand unified and flavour symmetries in a Pati-Salam x S4 model · Introduction · 0.85

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.