Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with $\mu \tau$-flavored CP symmetry

Abstract

We propose a neutrino mass model with $\mu \tau$-flavored CP symmetry, where the effective light neutrino Lagrangian enjoys an additional invariance under a Friedberg-Lee (FL) transformation on the left-handed flavor neutrino fields, that leads to a highly predictive and testable scenario. While both types of the light neutrino mass ordering, i.e., Normal Ordering (NO) as well as the Inverted Ordering (IO) are allowed, the absolute scale of neutrino masses is fixed by the vanishing determinant of light Majorana neutrino mass matrix $M_{\nu }$. We show that for both types of mass ordering, whilst the atmospheric mixing angle ${\theta }_{23}$ is in general nonmaximal (${\theta }_{23}\ne \pi /4$), the Dirac CP phase $\delta$ is exactly maximal ($\delta =\pi /2,3\pi /2$) for IO and nearly maximal for NO owing to $\cos \delta \propto \sin {\theta }_{13}$. For the NO, very tiny nonvanishing Majorana CP violation might appear through one of the Majorana phases $\beta$; otherwise the model predicts vanishing Majorana CP violation. Thus, despite the fact, that from the measurement of ${\theta }_{23}$, it is difficult to rule out the model, any large deviation of $\delta$ from its maximality, will surely falsify the scenario. For a comprehensive numerical analysis, beside fitting the neutrino oscillation global fit data, we also present a study on the ${\nu }_{\mu }\to {\nu }_e$ oscillation which is expected to show up Dirac CP violation in different long baseline experiments. Finally, assuming purely astrophysical sources, we calculate the Ultra High Energy (UHE) neutrino flavor flux ratios at neutrino telescopes, such as IceCube, from which statements on the octant of ${\theta }_{23}$ could be made in our model.

arXiv comment20 pages, 7 figures, updated with clarifications and minor changes, version published in JHEP

References in corpus (40)

• Evidence for High-Energy Extraterrestrial Neutrinos at the IceCube Detector
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Detecting Tau Neutrino Oscillations at PeV Energies
• Detecting Nutau Oscillations as PeV Energies
• Mu-Tau Reflection Symmetry in Lepton Mixing and Neutrino Oscillations
• High-energy neutrinos in the context of multimessenger physics
• CP Violation and Neutrino Oscillations
• A 2-3 Symmetry in Neutrino Oscillations
• Bimaximal Neutrino Mixing and Neutrino Mass Matrix
• Unified Models of Neutrinos, Flavour and CP Violation
• A non-standard CP transformation leading to maximal atmospheric neutrino mixing
• CP and Discrete Flavour Symmetries
• CP Violation from Finite Groups
• Spontaneous CP violation from vacuum alignment in $S_4$ models of leptons
• Automorphisms in Gauge Theories and the Definition of CP and P
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• Simplified models for photohadronic interactions in cosmic accelerators
• A Realistic Pattern of Lepton Mixing and Masses from S4 and CP
• The solar LMA neutrino oscillation solution in the Zee model
• Non-vanishing $U_{e3}$ and $\cos 2{\theta }_{23}$ from a broken $Z_2$ symmetry
• Flavor Ratios of Astrophysical Neutrinos: Implications for Precision Measurements
• Generalized $\mu -\tau$ reflection symmetry and leptonic CP violation
• Implications of Leptonic Unitarity Violation at Neutrino Telescopes
• Neutrino Mixing: $A_4$ Variations
• A Combined Astrophysical and Dark Matter Interpretation of the IceCube HESE and Throughgoing Muon Events
• Neutrino Mixing and Neutrino Telescopes
• Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries
• Mu-tau reflection symmetry with a texture-zero
• Mu-tau reflection symmetry with a high scale texture-zero
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Tri-Bimaximal Mixing from Twisted Friedberg-Lee Symmetry
• Twenty years after the discovery of $\mu -\tau$ symmetry
• The Friedberg-Lee Symmetry and Minimal Seesaw Model
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Leptogenesis in a model with Friedberg-Lee symmetry
• Baryon asymmetry via leptogenesis in a neutrino mass model with complex scaling
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• A further study of μ-τsymmetry breaking at neutrino telescopes after the Daya Bay and RENO measurements of θ_{13}

Cited by in corpus (5)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• The translational $\mu$-$\tau$ reflection symmetry of Majorana neutrinos