Trimaximal $\mu$-$\tau$ reflection symmetry

Abstract

The $\mu$-$\tau$ reflection symmetry $({\nu }_e,{\nu }_{\mu },{\nu }_{\tau })\to ({\overline{\nu }}_e,{\overline{\nu }}_{\tau },{\overline{\nu }}_{\mu })$ and the TM1 mixing (a PMNS matrix with the first column fixed to the TBM form) are both well compatible with experiments. If both approaches are simultaneously assumed, all lepton mixing parameters except for ${\theta }_{13}$ are predicted. In particular, one expects maximal CP violation ($|\delta |=90^{\circ }$), maximal atmospheric mixing (${\theta }_{23}=45^{\circ }$), a slightly less-than-TBM solar mixing angle (${\theta }_{12}\approx 34^{\circ }$), as well as values of $0$ or $\pi$ for the two Majorana phases. We study the renormalization stability of this highly predictive framework when neutrino mass is described by an effective Weinberg operator and by the type I seesaw mechanism, both in the Standard Model and with supersymmetry.

12 pages, comments added, version to appear in PRD

References in corpus (22)

• Observation of electron-antineutrino disappearance at Daya Bay
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• First combined analysis of neutrino and antineutrino oscillations at T2K
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Measurement of the neutrino mixing angle ${\theta }_{23}$ in NOvA
• Physical effects involved in the measurements of neutrino masses with future cosmological data
• Scotogenic Inverse Seesaw Model of Neutrino Mass
• Generalised CP and $\Delta (6n^2)$ Family Symmetry in Semi-Direct Models of Leptons
• Group Theory and Dynamics of Neutrino Mixing
• $A_4$ and CP symmetry and a model with maximal CP violation
• Precision neutrino experiments vs the Littlest Seesaw
• Extracting Majorana Properties in the Throat of Neutrinoless Double Beta Decay
• Breakings of the neutrino mu-tau reflection symmetry
• Predicting CP violation in Deviation from Tri-bimaximal mixing of Neutrinos
• Neutrino Mixing and CP Phase Correlations
• Mu-tau reflection symmetry with a texture-zero
• Twenty years after the discovery of $\mu -\tau$ symmetry

Cited by in corpus (33)

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• Consequences of $\mu -\tau$ Reflection Symmetry at DUNE
• CP Symmetries as Guiding Posts: revamping tri-bi-maximal Mixing. Part II
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• The ${\nu }_R$-philic scalar: its loop-induced interactions and Yukawa forces in LIGO observations
• CP Symmetries as Guiding Posts: Revamping Tri-Bi-Maximal Mixing-I
• Mu-Tau Reflection Symmetry in the Standard Parametrization and Contributions from Charged Lepton Sector
• Correlation of normal neutrino mass ordering with upper octant of ${\theta }_{23}^{}$ and third quadrant of $\delta$ via RGE-induced $\mu$-$\tau$ symmetry breaking
• Neutrino mixing in SO(10) GUTs with non-abelian flavor symmetry in the hidden sector
• Consequences of minimal seesaw with complex $\mu \tau$ antisymmetry of neutrinos
• Phase broken $\mu -\tau$ symmetry and the neutrino mass hierarchy
• Flavoured leptogenesis and ${\mathrm{CP}}^{\mu \tau }$ symmetry
• CP transformed mixed $\mu \tau$ antisymmetry for neutrinos and its consequences
• Probing the ${\nu }_R$-philic $Z^{\prime }$ at DUNE near detectors
• Realization of the minimal extended seesaw mechanism and the $T{M}_2$ type neutrino mixing
• Impact of RGE-induced $\mu -\tau$ Reflection Symmetry Breaking on the Effective Majorana Neutrino Mass in $0\nu \beta \beta$ Decay
• $\mu -\tau$ Reflection Symmetry and Its Explicit Breaking for Leptogenesis in a Minimal Seesaw Model
• Leptonic unitarity triangles: RGE running effects and $\mu$-$\tau$ reflection symmetry breaking
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Consequences of $\mu$-$\tau$ reflection symmetry for $3+1$ neutrino mixing
• Almost exact diagonal reflection symmetries and three-zero texture
• Fully constrained mass matrix: Can symmetries alone determine the flavon vacuum alignments?
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Trimaximal Mixing and Extended Magic Symmetry in a Model of Neutrino Mass Matrix
• Neutrino Parameters from Reactor and Accelerator Neutrino Experiments
• ${\text{TM}}_1$ neutrino mixing with $\sin {\theta }_{13}=\frac{1}{\sqrt{3}}\sin \frac{\pi }{12}$
• Lepton mixing patterns from $PS{L}_2(7)$ with a generalised CP symmetry
• RGE-induced $\mu$-$\tau$ symmetry breaking: an analysis of the latest T2K results
• Approximate magic symmetry in a cobimaximal scenario of Majorana neutrinos
• New partial symmetries from group algebras for lepton mixing