### Abstract

We propose a non-minimal left–right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an _{3}⊗ Z_{2}flavor symmetry, and an extra Z2e symmetry is considered in the lepton sector. Then the neutrino mass matrix possessesapproximately the symmetry. The breaking of the symmetry induces sizable non-zero θ_{13}, and the deviation of θ_{23}from 45 ^{∘}is strongly controlled by an ϵ free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the ϵ parameter and the lightest neutrino mass that accommodate the mixing angles. The results are:(a) the normal hierarchy is ruled out for any values of the Majorana phases; (b) for the inverted hierarchy the values of the reactor and atmospheric angles are compatible up to 2,3σ C.L.;(c) the degenerate ordering is the most favorable such that the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. The model predicts defined regions for the effective neutrino mass,the neutrino mass scale and the sum of the neutrino masses for the favored cases. Therefore, this model may be testable by the future experiments.

Original language | English |
---|---|

Article number | 551 |

Journal | European Physical Journal C |

Volume | 77 |

Issue number | 8 |

DOIs | |

State | Published - 1 Aug 2017 |

Externally published | Yes |

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**Non-minimal flavored S _{3}⊗ Z_{2} left–right symmetric model.** / Gómez-Izquierdo, Juan Carlos.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Non-minimal flavored S3⊗ Z2 left–right symmetric model

AU - Gómez-Izquierdo, Juan Carlos

PY - 2017/8/1

Y1 - 2017/8/1

N2 - We propose a non-minimal left–right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an 3⊗ Z2flavor symmetry, and an extra Z2e symmetry is considered in the lepton sector. Then the neutrino mass matrix possessesapproximately the symmetry. The breaking of the symmetry induces sizable non-zero θ13, and the deviation of θ23from 45 ∘is strongly controlled by an ϵ free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the ϵ parameter and the lightest neutrino mass that accommodate the mixing angles. The results are:(a) the normal hierarchy is ruled out for any values of the Majorana phases; (b) for the inverted hierarchy the values of the reactor and atmospheric angles are compatible up to 2,3σ C.L.;(c) the degenerate ordering is the most favorable such that the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. The model predicts defined regions for the effective neutrino mass,the neutrino mass scale and the sum of the neutrino masses for the favored cases. Therefore, this model may be testable by the future experiments.

AB - We propose a non-minimal left–right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an 3⊗ Z2flavor symmetry, and an extra Z2e symmetry is considered in the lepton sector. Then the neutrino mass matrix possessesapproximately the symmetry. The breaking of the symmetry induces sizable non-zero θ13, and the deviation of θ23from 45 ∘is strongly controlled by an ϵ free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the ϵ parameter and the lightest neutrino mass that accommodate the mixing angles. The results are:(a) the normal hierarchy is ruled out for any values of the Majorana phases; (b) for the inverted hierarchy the values of the reactor and atmospheric angles are compatible up to 2,3σ C.L.;(c) the degenerate ordering is the most favorable such that the reactor and atmospheric angle are compatible with the experimental data for a large set of values of the free parameters. The model predicts defined regions for the effective neutrino mass,the neutrino mass scale and the sum of the neutrino masses for the favored cases. Therefore, this model may be testable by the future experiments.

UR - http://www.scopus.com/inward/record.url?scp=85027867103&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-017-5094-0

DO - 10.1140/epjc/s10052-017-5094-0

M3 - Artículo

AN - SCOPUS:85027867103

VL - 77

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 8

M1 - 551

ER -