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.

10 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

References in corpus (9)

• Leptogenesis
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Possible Alternatives to Tri-bimaximal Mixing
• Leptogenesis and Low Energy CP Violation in Neutrino Physics
• Connecting Low Energy Leptonic CP-violation to Leptogenesis
• The golden ratio prediction for the solar neutrino mixing
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• Predicting the Values of the Leptonic CP Violation Phases
• Interplay between Appearance and Disappearance Channels for Precision Measurements of ${\theta }_{23}$ and $\delta$

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• 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
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry