Predictions for the Dirac CP Violation Phase in the Neutrino Mixing Matrix

Abstract

Using the fact that the neutrino mixing matrix $U=U_e^{†}{U}_{\nu }$, where $U_e$ and $U_{\nu }$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which the Dirac phase $\delta$ present in $U$ satisfies when $U_{\nu }$ has a form dictated by, or associated with, discrete flavour symmetries and $U_e$ has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to $U_{\nu }$, so that the reactor, atmospheric and solar neutrino mixing angles ${\theta }_{13}$, ${\theta }_{23}$ and ${\theta }_{12}$ have values compatible with the current data.

arXiv comment10 pages, 3 figures, one table; to be published in the Proceedings of the International Conference on Massive Neutrinos, Nanyang Technological University, Singapore, 9-13 February, 2015

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Cited by in corpus (12)

• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Leptonic Dirac CP Violation Predictions from Residual Discrete Symmetries
• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis
• Addressing Neutrino Mixing Models with DUNE and T2HK
• Predictivity of Neutrino Mass Sum Rules
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Oscillation characteristics of active and sterile neutrinos and neutrino anomalies at shot distances
• Neutrino Fluxes from a Core-Collapse Supernova in a Model with Three Sterile Neutrinos
• Sterile neutrinos influence on oscillation characteristics of active neutrinos at short distances in the generalized model of neutrino mixing
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• Active neutrino oscillations and double beta decay characteristics with sterile neutrinos contributions