On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry

Abstract

In the simplest version of a ${\mathbf{Q}}_6$ flavored supersymmetric model, we analyze the leptonic masses and mixings in the framework of a soft breaking of the $\mu \leftrightarrow \tau$ symmetry. This breaking is controlled by the inequality $m_{e\tau }\ne m_{e\mu }$ in the effective neutrino mass. As a consequence of this breaking, the reactor and atmospheric angle are deviate from $0^{\circ }$ and $45^{\circ }$, respectively. Such deviations can be enhanced or suppressed by the CP parities in the Majorana phases, so that an analytic study is carried out to remark their importance to constrain the free parameters that accommodate the mixing angles. The normal hierarchy is completely discarded in this model, the inverted hierarchy is less favored than the degenerate one where the reactor and atmospheric angles are in good agreement with the experimental data. Additionally, the model predicts defined regions for the effective neutrino mass decay, the neutrino mass scale and the sum of the neutrino mass in the inverted and degenerate mass spectrum. Thus, this model may be testable by future experiments that focus in neutrinoless double beta decay.

21 pages, 20 figures. Improved version, new figures and references added. New section included. Conclusions unchanged. Version accepted for publication in International Journal of Modern Physics A

References in corpus (17)

• Massive neutrinos and cosmology
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Neutrino oscillations refitted
• Global constraints on absolute neutrino masses and their ordering
• Background free search for neutrinoless double beta decay with GERDA Phase II
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Neutrino Physics and Spontaneous CP Violation in the $\mu \nu$SSM
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Flavor Changing Neutral Higgs Bosons in a Supersymmetric Extension based on a $Q_6$ Family Symmetry
• A Generic Diagonalization of the 3X3 Neutrino Mass Matrix and Its Implications on the mu-tau Flavor Symmetry and Maximal CP Violation
• Flavor Violation in Supersymmetric Q_6 Model
• Variations on the Supersymmetric Q6 Model of Flavor
• A Supersymmetric Contribution to the Neutrino Mass Matrix and Breaking of mu-tau Symmetry
• Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses
• Mu-tau reflection symmetry with a texture-zero
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking

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