### Abstract

Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A_{4}×A_{4} symmetry. In this model, the two triplet symmetry-breaking fields of conventional A4 models are taken to transform under different A_{4} group factors, but are not distinguished by any other quantum numbers. An additional bi-triplet flavon field breaks A_{4}×A_{4} to its diagonal subgroup. If the bi-triplet transforms under an additional Z_{3} symmetry, we show that one can construct a general, renormalizable superpotential that yields the desired pattern of symmetry breaking. We identify the features that this model has in common with a deconstructed 5D theory in which A_{4}is a subgroup of a continuous gauged flavor symmetry in the bulk.

Original language | English (US) |
---|---|

Pages (from-to) | 454-458 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 696 |

Issue number | 5 |

DOIs | |

State | Published - Feb 14 2011 |

### Fingerprint

### Keywords

- Deconstruction
- Neutrino mixing
- Non-Abelian family symmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Tribimaximal neutrino mixing from A _{4} replication.** / Carone, Christopher D.; Lebed, Richard.

Research output: Contribution to journal › Article

_{4}replication',

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 696, no. 5, pp. 454-458. https://doi.org/10.1016/j.physletb.2011.01.004

}

TY - JOUR

T1 - Tribimaximal neutrino mixing from A4 replication

AU - Carone, Christopher D.

AU - Lebed, Richard

PY - 2011/2/14

Y1 - 2011/2/14

N2 - Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A4×A4 symmetry. In this model, the two triplet symmetry-breaking fields of conventional A4 models are taken to transform under different A4 group factors, but are not distinguished by any other quantum numbers. An additional bi-triplet flavon field breaks A4×A4 to its diagonal subgroup. If the bi-triplet transforms under an additional Z3 symmetry, we show that one can construct a general, renormalizable superpotential that yields the desired pattern of symmetry breaking. We identify the features that this model has in common with a deconstructed 5D theory in which A4is a subgroup of a continuous gauged flavor symmetry in the bulk.

AB - Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A4×A4 symmetry. In this model, the two triplet symmetry-breaking fields of conventional A4 models are taken to transform under different A4 group factors, but are not distinguished by any other quantum numbers. An additional bi-triplet flavon field breaks A4×A4 to its diagonal subgroup. If the bi-triplet transforms under an additional Z3 symmetry, we show that one can construct a general, renormalizable superpotential that yields the desired pattern of symmetry breaking. We identify the features that this model has in common with a deconstructed 5D theory in which A4is a subgroup of a continuous gauged flavor symmetry in the bulk.

KW - Deconstruction

KW - Neutrino mixing

KW - Non-Abelian family symmetry

UR - http://www.scopus.com/inward/record.url?scp=79251599910&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79251599910&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2011.01.004

DO - 10.1016/j.physletb.2011.01.004

M3 - Article

AN - SCOPUS:79251599910

VL - 696

SP - 454

EP - 458

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 5

ER -