Generalized Friedberg-Lee model for CP violation in neutrino physics

Abstract

We propose a phenomenological model of Dirac neutrino mass operator based on the Fridberg-Lee (FL) neutrino mass model to include CP violation. By considering the most general set of complex coefficients, and imposing the condition that the mass eigenvalues are real, we find a neutrino mass matrix which is non-hermitian, symmetric and magic. In particular, we find that the requirement of obtaining real mass eigenvalues by transferring the residual phases to the mass eigenstates self-consistently, dictates the following relationship between the imaginary part of the mass matrix elements $B$ and the parameters of the FL model: $B=\pm \sqrt{3/4(a-b_r{)}^2{\sin }^{2}2{\theta }_{13}{\cos }^2{\theta }_{12}}$. We obtain inverted neutrino mass hierarchy, $m_3=0$. Making a correspondence between our model and the experimental data produces stringent conditions on the parameters as follows: $35.06^{\circ }\lesssim {\theta }_{12}\lesssim 36.27^{\circ }$, ${\theta }_{23}=45^{\circ }$, $7.27^{\circ }\lesssim {\theta }_{13}\lesssim 11.09^{\circ }$, and $82.03^{\circ }\lesssim \delta \lesssim 85.37^{\circ }$. We get mildly broken $\mu -\tau$ symmetry, which reduces the resultant neutrino mixing pattern from tribimaximal (TBM) to trimaximal (TM). The CP violation as measured by the Jarlskog parameter is restricted by $0.027\lesssim J\lesssim 0.044$.

8 pages, 3 figures, published in Phys. Rev. D

References in corpus (24)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• Lepton Mass Hierarchy and Neutrino Oscillations
• Where we are on ${\theta }_{13}$: addendum to "Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters"
• Large Leptonic Flavor Mixing and the Mass Spectrum of Leptons
• Dirac neutrino mass generation from dark matter
• Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking
• Maximal Neutrino Mixing and Maximal CP Violation
• Symmetrical Parametrizations of the Lepton Mixing Matrix
• Rephasing Invariants of Quark and Lepton Mixing Matrices
• How to Describe Neutrino Mixing and CP Violation
• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Unitarity constraints on trimaximal mixing
• Generalization of Friedberg-Lee Symmetry
• Leptonic CP violation phases using an ansatz for the neutrino mass matrix and application to leptogenesis
• A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix
• Generalized Friedberg-Lee model for neutrino masses and leptonic CP violation from mu-tau symmetry breaking

Cited by in corpus (6)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Radiative corrections to the leptonic Dirac CP-violating phase
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Neutrino mixing matrix and masses from a generalized Friedberg-Lee model