Model independent Analysis of Dirac CP Violating Phase for some well known mixing scenarios

Abstract

We present a model-independent analysis of Leptonic CP violation for some well known mixing scenarios. In particular, we considered modified schemes for Bimaximal(BM), Democratic(DC), Hexagonal(HG) and Tribimaixmal(TBM) mixing for our numerical investigation. These model-independent corrections to mixing matrices are parameterized in terms of complex rotation matrices ($U$) with related modified PMNS matrix of the forms \big($U_{ij}^l\cdot V_M,V_M\cdot U_{ij}^r$ \big ) where $U_{ij}^{l,r}$ is complex rotation in ij sector and $V_M$ is unperturbed mixing scheme. We present generic formulae for mixing angles, Dirac CP phase(${\delta }_{CP}$) and Jarkslog Invariant($J_{CP}$) in terms of correction parameters. The parameter space of each modified mixing case is scanned for fitting neutrino mixing angles using ${\chi }^2$ approach and the corresponding predictions for Leptonic CP Phase(${\delta }_{CP}$) and Jarkslog Invariant($J_{CP}$) has been evaluated from allowed parameter space. The obtained ranges are reported for all viable cases.

37 pages, 48 figures, v2-references added

References in corpus (22)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Possible Alternatives to Tri-bimaximal Mixing
• The Unique Horizontal Symmetry of Leptons
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Discrete symmetries and model-independent patterns of lepton mixing
• Predicting the Values of the Leptonic CP Violation Phases
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• An Asymmetric TBM Texture
• Softly broken $\mu \leftrightarrow \tau$ symmetry in the minimal see-saw model
• Perturbations to μ-τ symmetry in neutrino mixing
• Prediction of leptonic CP phase from perturbatively modified tribimaximal (or bimaximal) mixing
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Consistency of perturbed Tribimaximal, Bimaximal and Democratic mixing with Neutrino mixing data
• Trimaximal-Cabibbo neutrino mixing: A parametrization in terms of deviations from tri-bimaximal mixing
• CP violating Tri-bimaximal-Cabibbo mixing
• A Systematic Analysis of Perturbations for Hexagonal Mixing Matrix
• Constraining Neutrino Mass Matrix from Modified BM with Softly Broken $\mu -\tau$ Symmetry

Cited by in corpus (3)

• Deviations from Tribimaximal and Golden Ratio mixings under radiative corrections of neutrino masses and mixings
• Next-to-tribimaximal mixing against CP violation and baryon asymmetry signs
• Generating CP violation from a modified Fridberg-Lee model