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arxiv: 1504.02402 · v1 · pith:GYCX3F3Mnew · submitted 2015-04-09 · ✦ hep-ph

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

classification ✦ hep-ph
keywords neutrinomixingthetaanglesdiracformmatrixphase
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Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, 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.

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