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

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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 -