Tribimaximal neutrino mixing from A4 replication

Christopher D. Carone; Richard Lebed

doi:10.1016/j.physletb.2011.01.004

Tribimaximal neutrino mixing from A₄ replication

Christopher D. Carone, Richard Lebed

Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

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	https://doi.org/10.1016/j.physletb.2011.01.004
State	Published - Feb 14 2011

Keywords

Deconstruction
Neutrino mixing
Non-Abelian family symmetry

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2011.01.004

Cite this

@article{fcba648a83f54faab6d372ce81a445ae,

title = "Tribimaximal neutrino mixing from A4 replication",

abstract = "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.",

keywords = "Deconstruction, Neutrino mixing, Non-Abelian family symmetry",

author = "Carone, {Christopher D.} and Richard Lebed",

note = "Funding Information: This work was supported by the National Science Foundation under Grant Nos. PHY-0757481 (C.D.C.) and PHY-0757394 (R.F.L.). We thank Josh Erlich for useful comments.",

year = "2011",

month = feb,

day = "14",

doi = "10.1016/j.physletb.2011.01.004",

language = "English (US)",

volume = "696",

pages = "454--458",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Tribimaximal neutrino mixing from A4 replication

AU - Carone, Christopher D.

AU - Lebed, Richard

N1 - Funding Information: This work was supported by the National Science Foundation under Grant Nos. PHY-0757481 (C.D.C.) and PHY-0757394 (R.F.L.). We thank Josh Erlich for useful comments.

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

SN - 0370-2693

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

IS - 5

ER -