Permutation symmetries and the fermion mass matrix

Yamanaka, Yoshiya; Sugawara, Hirotaka; Pakvasa, Sandip

doi:10.1103/physrevd.25.1895

Cited by 150 publications

(60 citation statements)

References 36 publications

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“…In some setups where the fermion transformations under S 3 are not appropriately adjusted, the off-diagonal Yukawa couplings may become order one which induce sizable neutral scalar mediated rare processes, like K L → µe or K L → 2π, at tree level. This requires those neutral scalars to lie beyond several TeV [6,11]. But in our case, once we adjust the f i /g u,d…”

Section: Scalar Couplings To Gauge and Matter Fieldsmentioning

confidence: 99%

Exotic Higgs boson decay modes as a harbinger ofS3flavor symmetry

2011

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Discrete symmetries employed to explain flavor mixing and mass hierarchies can be associated with an enlarged scalar sector which might lead to exotic Higgs decay modes. In this paper, we explore such a possibility in a scenario with S3 flavor symmetry which requires three scalar SU (2) doublets. The spectrum is fixed by minimizing the scalar potential, and we observe that the symmetry of the model leads to tantalizing Higgs decay modes potentially observable at the CERN Large Hadron Collider (LHC).

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Section: Scalar Couplings To Gauge and Matter Fieldsmentioning

confidence: 99%

Exotic Higgs boson decay modes as a harbinger ofS3flavor symmetry

2011

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“…Obviously, the matrices in Eq. (66) correspond to the triplet representation. Thus, we can obtain their characters.…”

Section: Amentioning

confidence: 99%

“…The solution is obtained as (m 1 , m 2 , m 3 ) = (3, 0, 1). That is, the A 4 group has three singlets, 1, 1 ′ , and 1 ′′ , and a single triplet 3, where the triplet corresponds to (66).…”

Section: Amentioning

confidence: 99%

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Non-Abelian Discrete Symmetries in Particle Physics

Ishimori

Kobayashi

Ohki

et al. 2010

Prog. Theor. Phys. Suppl.

893

1,022

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We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their tensor products. We explain how to derive, conjugacy classes, characters, representations, and tensor products for these groups (with a finite number). We discussed them explicitly for3 ) and ∆(6N 2 ), which have been applied for model building in the particle physics. We also present typical flavor models by using A 4 , S 4 , and ∆(54) groups. Breaking patterns of discrete groups and decompositions of multiplets are important for applications of the non-Abelian discrete symmetry. We discuss these breaking patterns of the non-Abelian discrete group, which are a powerful tool for model buildings. We also review briefly about anomalies of non-Abelian discrete symmetries by using the path integral approach.

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“…On the other hand, much attention has been devoted to the question whether these models can be extended to describe the observed pattern of quark masses and mixing angles, and whether these can be made compatible with the SU(5) or SO(10) grand unified theory (GUT). The attractive candidate is the S 4 symmetry, which has been already used for the neutrino masses and the neutrino flavor mixing [74,75,76,77]. The exact tri-bimaximal neutrino mixing is realized in S 4 flavor models [78,79,80,81,82,83,84].…”

Section: Introductionmentioning

confidence: 99%

Tribimaximal mixing and Cabibbo angle inS4flavor model with supersymmetry

et al. 2010

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We present a flavor model of quarks and leptons with the non-Abelian discrete symmetry S 4 in the framework of the SU (5) SUSY GUT. Three generations of 5-plets in SU (5) are assigned to 3 of S 4 while the first and second generations of 10-plets in SU (5) are assigned to 2 of S 4 , and the third generation of 10-plet is assigned to 1 of S 4 . Righthanded neutrinos are also assigned to 2 for the first and second generations and 1 ′ for the third generation. We predict the Cabibbo angle as well as the tri-bimaximal mixing of neutrino flavors. We also predict the non-vanishing U e3 of the neutrino flavor mixing due to higher dimensional mass operators. Our predicted CKM mixing angles and the CP violation are consistent with experimental values. We also study SUSY breaking terms in the slepton sector. Our model leads to smaller values of flavor changing neutral currents than the present experimental bounds. *

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Permutation symmetries and the fermion mass matrix

Cited by 150 publications

References 36 publications

Exotic Higgs boson decay modes as a harbinger ofS3flavor symmetry

Exotic Higgs boson decay modes as a harbinger ofS3flavor symmetry

Non-Abelian Discrete Symmetries in Particle Physics

Tribimaximal mixing and Cabibbo angle inS4flavor model with supersymmetry

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