Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter

Abstract

We further study a predictive model for the masses and mixing matrix of three Majorana neutrinos. At zeroth order the model yielded degenerate neutrinos and a generalized ``tribimaximal" mixing matrix. At first order the mass splitting was incorporated and the tribimaximal mixing matrix emerged with very small corrections but with a zero value for the parameter $s_{13}$. In the present paper a different, assumed weaker, perturbation is included which gives a non zero value for $s_{13}$ and further corrections to other quantities. These corrections are worked out and their consequences discussed under the simplifying assumption that the conventional CP violation phase vanishes. It is shown that the existing measurements of the parameter $s_{23}$ provide strong bounds on $s_{13}$ in this model.

8 pages

References in corpus (7)

• Common Origin of Soft mu-tau and CP Breaking in Neutrino Seesaw and the Origin of Matter
• Grand unification of $\mu -\tau$ Symmetry
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• An approach to permutation symmetry for the electroweak theory
• S_3-flavour symmetry as realized in lepton flavour violating processes
• Neutrino mixing with broken $S_3$ symmetry

Cited by in corpus (16)

• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• The S_3 flavor symmetry in 3-3-1 models
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix
• Broken $S_3$ Symmetry in Flavor Physics
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Naturally perturbed S${}_3$ neutrinos
• Broken $S_3$ Neutrinos
• Phenomenology of Trimaximal mixing with one texture equality
• Note about the implementation of finite symmetries in the lepton sector
• An analytical treatment of the neutrino masses and mixings
• Note about lepton masses and mixings in two Ansatze