Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis

Abstract

We investigate the consequences of a generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ symmetry on a scaling neutrino Majorana mass matrix. It enables us to determine definite analytical relations between the mixing angles ${\theta }_{12}$ and ${\theta }_{13}$, maximal CP violation for the Dirac type and vanishing for the Majorana type. Beside the other testable predictions on the low energy neutrino parameters such as $\beta {\beta }_{0\nu }$ decay matrix element $|M_{ee}|$ and the light neutrino masses $m_{1,2,3}$, the model also has intriguing consequences from the perspective of leptogenesis. With the assumption that the required CP violation for leptogenesis is created by the decay of lightest ($N_1$) of the heavy Majorana neutrinos, only $\tau$-flavored leptogenesis scenario is found to be allowed in this model. For a normal (inverted) ordering of light neutrino masses, ${\theta }_{23}$ is found be less (greater) than its maximal value, for the final baryon asymmetry $Y_B$ to be in the observed range. Besides, an upper and a lower bound on the mass of $N_1$ have also been estimated. Effect of the heavier neutrinos $N_{2,3}$ on final $Y_B$ has been worked out subsequently. The predictions of this model will be tested in the experiments such as nEXO, LEGEND, GERDA-II, T2K, NO$\nu$A, DUNE etc.

37 pages, 12 figures, 9 tables, version accepted for publication in JHEP

References in corpus (16)

• Leptogenesis
• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Symmetry of Lepton Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• The importance of N2 leptogenesis
• An SO(10) GUT Model with $S4$ Flavor Symmetry
• Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Flavor symmetries, leptogenesis and the absolute neutrino mass scale
• Scaling in the Neutrino Mass Matrix
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Mu-tau reflection symmetry with a texture-zero
• Baryon asymmetry via leptogenesis in a neutrino mass model with complex scaling
• A Built-in Horizontal Symmetry of $SO(10)$
• An SU(3) symmetry for light neutrinos