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PHYSICAL REVIEW D 94, 095009 (2016)

ISSN: 2470-0010, SCI

Neutrino mixing model based on an A4 × Z3 × Z4 flavor symmetry

Nguyễn Anh Kỳ, Phí Quang Văn, and Nguyễn Thị Hồng Vân

A model of a neutrino mixing with an A4 × Z3 × Z4 flavor symmetry is suggested. In addition to the standard model fields, the present model contains six new fields that transform under different representations of A4 × Z3 × Z4. The model is constructed to slightly deviate from a tribimaximal model in agreement with the current experimental data; thus, all analysis can be done in the base of the perturbation method. Within this model, as an application, a relation between the mixing angles (θ12, θ23, θ13) and the Dirac CP-violation phase (δCP) is established. This relation allows a prediction of δCP and the Jarlskog parameter (JCP). The predicted value δCP is in the 1σ region of the global fit for both the normal and inverse neutrino mass ordering and gives JCP to be within the bound |JCP| ≤ 0.04. For an illustration, the model is checked numerically and gives values of the neutrino masses (of the order of 0.1 eV) and the mixing angle θ13 (about 9°) very close to the current experimental data.

DOI: 10.1103/PhysRevD.94.095009