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

Abstract

We derive predictions for the Dirac phase $\delta$ present in the $3\times 3$ unitary neutrino mixing matrix $U=U_e^{†}{U}_{\nu }$, where $U_e$ and $U_{\nu }$ are $3\times 3$ unitary matrices which arise from the diagonalisation, respectively, of the charged lepton and the neutrino mass matrices. We consider forms of $U_e$ and $U_{\nu }$ allowing us to express $\delta$ as a function of three neutrino mixing angles, present in $U$, and the angles contained in $U_{\nu }$. We consider several forms of $U_{\nu }$ determined by, or associated with, symmetries, tri-bimaximal, bimaximal, etc., for which the angles in $U_{\nu }$ are fixed. For each of these forms and forms of $U_e$ allowing one to reproduce the measured values of the neutrino mixing angles, we construct the likelihood function for $\cos \delta$, 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 as regards the possible existence of symmetry in the lepton sector.

37 pages, includes 8 figures and 6 tables; references added; typos corrected; matches published version

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Cited by in corpus (37)

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• Assessing the Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries for Description of Neutrino Mixing
• CP Violation in the Lepton Sector and Implications for Leptogenesis
• Sensitivities and synergies of DUNE and T2HK
• Predictions for the Majorana CP Violation Phases in the Neutrino Mixing Matrix and Neutrinoless Double Beta Decay
• The symmetry approach to quark and lepton masses and mixing
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• Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
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• Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
• Addressing Neutrino Mixing Models with DUNE and T2HK
• Predictivity of Neutrino Mass Sum Rules
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Probing Lepton Flavor Models at Future Neutrino Experiments
• Testing Lepton Flavor Models at ESSnuSB
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Predictions for the Dirac CP-Violating Phase from Sum Rules
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• Octant Degeneracy, Quadrant of leptonic CPV phase at Long Baseline Neutrino Experiments and Baryogenesis
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Viability of $A_4$, $S_4$ and $A_5$ Flavour Symmetries in Light of the First JUNO Result
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Fully Constrained Majorana Neutrino Mass Matrices Using $\Sigma (72\times 3)$
• Predictions for the Leptonic Dirac CP-Violating Phase
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Status and Perspectives of Neutrino Physics