Tribimaximal Neutrino Mixing from A_4 Replication

TL;DR

This paper presents a novel A_4 x A_4 symmetry-based model for tribimaximal neutrino mixing, inspired by dimensional deconstruction, involving specific symmetry-breaking fields and a superpotential that achieves the desired mixing pattern.

Contribution

It introduces a new A_4 x A_4 symmetry framework with a bi-triplet flavon and Z_3 symmetry to produce tribimaximal mixing, connecting to deconstructed 5D theories.

Findings

Constructed a renormalizable superpotential for symmetry breaking.

Demonstrated the model's connection to deconstructed 5D theories.

Achieved tribimaximal neutrino mixing pattern.

Abstract

Motivated by dimensional deconstruction, we propose a model of tribimaximal neutrino mixing based on A_4 x A_4 symmetry. In this model, the two triplet symmetry-breaking fields of conventional A_4 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 x 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.