Leptonic CP phases near the $\mu -\tau$ symmetric limit

Abstract

The neutrino masses and mixings indicated by current neutrino oscillation experiments suggest that the neutrino mass matrix possesses an approximate $\mu -\tau$ exchange symmetry. In this study, we explore the neutrino parameter space and show that if a small $\mu -\tau$ symmetry breaking is considered, the Majorana $CP$ phases must be unequal and non-zero independently of the neutrino mass scale. Moreover, a small $\mu -\tau$ symmetry breaking favors quasi-degenerate masses. We also show that Majorana phases are strongly correlated with the Dirac $CP$ violating phase. Within this framework, we obtain robust predictions for the values of the Majorana phases when the experimental indications for the Dirac $CP$ phase are used.

arXiv comment13 pages, 3 figures. Version accepted for publication in PLB

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Cited by in corpus (8)

• Neutrinoless double beta decay and lepton flavour violation in broken $\mu -\tau$ symmetric neutrino mass models
• Deviations to $\mu -\tau$ symmetry in a cobimaximal scenario
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Dirac neutrino mixings from hidden $\mu -\tau$ symmetry
• Small ${\theta }_{13}$ and solar neutrino oscillation parameters from $\mu -\tau$ symmetry
• Dirac CP phases in a 3+1 neutrino scenario with $\mu -\tau$ symmetry
• Approximate magic symmetry in a cobimaximal scenario of Majorana neutrinos