23 research outputs found

    Predictions for the Leptonic Dirac CP Violation Phase: a Systematic Phenomenological Analysis

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    We derive predictions for the Dirac phase δ\delta present in the 3×33\times 3 unitary neutrino mixing matrix U=UeUνU = U_e^{\dagger} \, U_{\nu}, where UeU_e and UνU_{\nu} are 3×33\times 3 unitary matrices which arise from the diagonalisation respectively of the charged lepton and the neutrino mass matrices. We consider forms of UeU_e and UνU_{\nu} allowing us to express δ\delta as a function of three neutrino mixing angles, present in UU, and the angles contained in UνU_{\nu}. We consider several forms of UνU_{\nu} determined by, or associated with, symmetries, tri-bimaximal, bimaximal, etc., for which the angles in UνU_{\nu} are fixed. For each of these forms and forms of UeU_e allowing to reproduce the measured values of the neutrino mixing angles, we construct the likelihood function for cosδ\cos \delta, using i) the latest results of the global fit analysis of neutrino oscillation data, and ii) the prospective sensitivities on the neutrino mixing angles. Our results, in particular, confirm the conclusion reached in earlier similar studies that the measurement of the Dirac phase in the neutrino mixing matrix, together with an improvement of the precision on the mixing angles, can provide unique information about the possible existence of symmetry in the lepton sector

    Generalised CP and Δ(6n2)\Delta (6n^2) Family Symmetry in Semi-Direct Models of Leptons

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    We perform a detailed analysis of Δ(6n2)\Delta (6n^2) family symmetry combined with a generalised CP symmetry in the lepton sector, breaking to different remnant symmetries GνG_{\nu} in the neutrino and GlG_{l} in the charged lepton sector, together with different remnant CP symmetries in each sector. We discuss the resulting mass and mixing predictions for Gν=Z2G_{\nu}=Z_2 with Gl=K4,Zp,p>2G_{l}=K_4,Z_p,p>2 and Gν=K4G_{\nu}=K_4 with Gl=Z2G_{l}=Z_2. All cases correspond to the preserved symmetry smaller than the full Klein symmetry, as in the semi-direct approach, leading to predictions which depend on a single undetermined real parameter, which mainly determines the reactor angle. We focus on five phenomenologically allowed cases for which we present the resulting predictions for the PMNS parameters as a function of nn, as well as the predictions for neutrinoless double beta decay.Comment: 65 pages, 19 figures, and the predictions for neutrinoless double beta decay are update
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