Non-minimal flavored $${S}_{3}\otimes {Z}_{2}$$ S 3 ⊗ Z 2 left–right symmetric model

Abstract

We propose a non-minimal left-right symmetric model with parity symmetry where the fermion mixings arise as a result of imposing an S 3 ⊗ Z 2 flavor symmetry, and an extra Z e 2 symmetry is considered in the lepton sector. Then the neutrino mass matrix possesses approximately the μ-τ symmetry. The breaking of the μ-τ symmetry induces sizable non-zero θ 13 , and the deviation of θ 23 from 45 • is strongly controlled by an free parameter and the neutrino masses. So, an analytic study of the CP parities in the neutrino masses is carried out to constrain the 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, 3 σ 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.

A comparative study between the modified Fritzsch and nearest neighbor interaction textures

“…As was already commented, the LRSM framework was combined with the S 3 flavor symmetry to provide a flavored non-minimal left-right symmetric model [26,27]. In those papers, three Higgs bidoublets, Φ 1,2,3 , are required to accommodate the PMNS and CKM mixing matrices.…”

“…Remarkably, the flavor assignation provides hierarchical mass matrices as we will see later. The lepton sector was leave aside in this particular scenario, so the full assignment can be found in [26,27] for more details. In the mentioned papers, the quark mass matrix, M q , has the entries…”

“…In the current work, we will recover the MLRT scenario, however, the study is totally different to that already presented in [26,27] since that a strong assumptions will be done in the vev's in order to reduce a little more the parameters. As a result of this, a simplest and predictive scenario comes out but some disadvantages will be appeared.…”

“…As a result of this, in the last years, a plethora of discrete symmetries have been proposed to accommodate the fermion mixings, all of this in different theoretical frameworks. In particular, the S 3 flavor symmetry, and its implications on masses and mixings, has been studied in the left-right symmetry (LRSM) [26,27] and baryon minus lepton number models (BLM) [28].…”

“…In the current paper, from mass textures point of view, we present a comparative study of the S 3 flavor symmetry in the left-right symmetry model (LRSM) and baryon minus lepton model (BLM) taking into account their predictions on the CKM mixing matrix. To do this, we will recover the already studied quark mass matrix, that comes from some published papers [26][27][28], and under certain strong assumption, one can show that there are predictive scenarios in the LRSM and BLM where the modified Fritzsch and nearest neighbor interaction (NNI) textures drive respectively the quark mixings. As main result, the CKM mixing matrix is in good agreement with the last experimental data in the flavored BLM model.…”