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We obtain predictions for the Majorana phases $\alpha_{21}/2$ and$\alpha_{31}/2$ of the $3\times 3$ unitary neutrino mixing matrix $U =U_e^{\dagger} \, U_{\nu}$, $U_e$ and $U_{\nu}$ being the $3\times 3$ unitarymatrices resulting from the diagonalisation of the charged lepton and neutrinoMajorana mass matrices, respectively. We focus on forms of $U_e$ and $U_{\nu}$permitting to express $\alpha_{21}/2$ and $\alpha_{31}/2$ in terms of the Diracphase $\delta$ and the three neutrino mixing angles of the standardparametrisation of $U$, and the angles and the two Majorana-like phases$\xi_{21}/2$ and $\xi_{31}/2$ present, in general, in $U_{\nu}$. The concreteforms of $U_{\nu}$ considered are fixed by, or associated with, symmetries(tri-bimaximal, bimaximal, etc.), so that the angles in $U_{\nu}$ are fixed.For each of these forms and forms of $U_e$ that allow to reproduce the measuredvalues of the three neutrino mixing angles $\theta_{12}$, $\theta_{23}$ and$\theta_{13}$, we derive predictions for phase differences $(\alpha_{21}/2 -\xi_{21}/2)$, $(\alpha_{31}/2 - \xi_{31}/2)$, etc., which are completelydetermined by the values of the mixing angles. We show that the requirement ofgeneralised CP invariance of the neutrino Majorana mass term implies $\xi_{21}= 0$ or $\pi$ and $\xi_{31} = 0$ or $\pi$. For these values of $\xi_{21}$ and$\xi_{31}$ and the best fit values of $\theta_{12}$, $\theta_{23}$ and$\theta_{13}$, we present predictions for the effective Majorana mass inneutrinoless double beta decay for both neutrino mass spectra with normal andinverted ordering.

Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay