# Flavor {Delta}(54) in SU(5) supersymmetric model

## Abstract

We design a supersymmetric SU(5) grand unified theory model using {Delta}(54), a finite non-Abelian subgroup of SU(3){sub f}. Heavy right-handed neutrinos are introduced which transform as a three-dimensional representation of our chosen family group. The model successfully reproduces the hierarchical structures of the standard model and the Cabibbo-Kobayashi-Maskawa mixing matrix. It then provides predictions for the light neutrinos with a normal hierarchy and masses such that m{sub {nu}},1{approx_equal}5x10{sup -3} eV, m{sub {nu}},2{approx_equal}1x10{sup -2} eV, and m{sub {nu}},3{approx_equal}5x10{sup -2} eV. We also provide predictions for masses of the heavy neutrinos, and corrections to the tribimaximal matrix that fit within experimental limits, e.g., a reactor angle of -7.31 deg. A simple modification to our model is introduced at the end and is shown to also produce predictions that fall well within those limits.

- Authors:

- Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)

- Publication Date:

- OSTI Identifier:
- 21607755

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.073009; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; DESIGN; FLAVOR MODEL; KOBAYASHI-MASKAWA MATRIX; MASS; MODIFICATIONS; NEUTRINOS; STANDARD MODEL; SU-3 GROUPS; SU-5 GROUPS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS; COMPOSITE MODELS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; GRAND UNIFIED THEORY; LEPTONS; LIE GROUPS; MASSLESS PARTICLES; MATHEMATICAL MODELS; MATRICES; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SU GROUPS; SYMMETRY; SYMMETRY GROUPS; UNIFIED GAUGE MODELS

### Citation Formats

```
Escobar, J. A.
```*Flavor {Delta}(54) in SU(5) supersymmetric model*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.84.073009.

```
Escobar, J. A.
```*Flavor {Delta}(54) in SU(5) supersymmetric model*. United States. doi:10.1103/PHYSREVD.84.073009.

```
Escobar, J. A. Sat .
"Flavor {Delta}(54) in SU(5) supersymmetric model". United States. doi:10.1103/PHYSREVD.84.073009.
```

```
@article{osti_21607755,
```

title = {Flavor {Delta}(54) in SU(5) supersymmetric model},

author = {Escobar, J. A.},

abstractNote = {We design a supersymmetric SU(5) grand unified theory model using {Delta}(54), a finite non-Abelian subgroup of SU(3){sub f}. Heavy right-handed neutrinos are introduced which transform as a three-dimensional representation of our chosen family group. The model successfully reproduces the hierarchical structures of the standard model and the Cabibbo-Kobayashi-Maskawa mixing matrix. It then provides predictions for the light neutrinos with a normal hierarchy and masses such that m{sub {nu}},1{approx_equal}5x10{sup -3} eV, m{sub {nu}},2{approx_equal}1x10{sup -2} eV, and m{sub {nu}},3{approx_equal}5x10{sup -2} eV. We also provide predictions for masses of the heavy neutrinos, and corrections to the tribimaximal matrix that fit within experimental limits, e.g., a reactor angle of -7.31 deg. A simple modification to our model is introduced at the end and is shown to also produce predictions that fall well within those limits.},

doi = {10.1103/PHYSREVD.84.073009},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 7,

volume = 84,

place = {United States},

year = {2011},

month = {10}

}