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

preprint2015arXivOpen access

Abstract

Using the fact that the neutrino mixing matrix U=Ue†UνU = U^\dagger_{e}U_ν, where UeU_{e} and UνU_ν 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 δδ present in UU satisfies when UνU_ν has a form dictated by, or associated with, discrete flavour symmetries and UeU_e has a "minimal" form (in terms of angles and phases it contains) that can provide the requisite corrections to UνU_ν, so that the reactor, atmospheric and solar neutrino mixing angles θ13θ_{13}, θ23θ_{23} and θ12θ_{12} have values compatible with the current data.

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