A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios

Abstract

We present a systematic study on minimally perturbed neutrino mass matrices which at the leading order give rise to Tri-BiMaximal (TBM) mixing due to a residual ${\mathbb{Z}}_2\times {\mathbb{Z}}_2^{\mu \tau }$ Klein symmetry in the neutrino mass term of the low energy effective seesaw Lagrangian. Considering only the breaking of ${\mathbb{Z}}_2^{\mu \tau }$ with two relevant breaking parameters (${\epsilon }_{4,6}^{\prime }$), after a comprehensive numerical analysis, we show that the phenomenologically viable case in this scenario is a special case of TM1 mixing. For this class of models, from the phenomenological perspective, one always needs large breaking (more than $45\%$) in one of the breaking parameters. However, to be consistent the maximal mixing of ${\theta }_{23}$, while more than $35\%$ breaking is needed in the other, a range $49.4^{\circ }-53^{\circ }$ and $38^{\circ }-40^{\circ }$ could be probed allowing breaking up to $25\%$ in the same parameter. Thus though this model cannot distinguish the octant of ${\theta }_{23}$, non-maximal mixing is preferred from the viewpoint of small breaking. The model is also interesting from leptogenesis perspective. Unlike the standard $N_1$-leptogenesis scenario, here all the RH neutrinos contribute to lepton asymmetry due to the small mass splitting controlled by the ${\mathbb{Z}}_2^{\mu \tau }$ breaking parameters. Inclusion of flavour coupling effects (In general, which have been partially included in all the leptogenesis studies in perturbed TBM framework) makes our analysis and results pertaining to a successful leptogenesis more accurate than any other studies in existing literature. Finally, in the context of recent discovery of the ultra high energy (UHE) neutrino events at IceCube, assuming UHE neutrinos originate from purely astrophysical sources, we obtain prediction on the neutrino flux ratios at neutrino telescopes.

48 pages, 9 figures, 2 tables, substantially revised (accepted for publication in JCAP)

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Cited by in corpus (11)

• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Non-thermal production of lepton asymmetry and dark matter in minimal seesaw with right handed neutrino induced Higgs potential
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• Baryon asymmetry and lower bound on right handed neutrino mass in fast expanding Universe: an analytical approach
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Predictive $S_4$ flavon model with ${\text{TM}}_1$ mixing and baryogenesis through leptogenesis
• Purely Triplet Seesaw and Leptogenesis within Cosmological Bound, Dark Matter and Vacuum Stability
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• A radiative Type-II seesaw model with broken Symmetry Ansatz