Deviations from Tribimaximal Neutrino Mixing using a Model with $\Delta (27)$ Symmetry

Abstract

We present a model of neutrino mixing based on the flavour group $\Delta (27)$ in order to account for the observation of a non-zero reactor mixing angle (${\theta }_{13}$). The model provides a common flavour structure for the charged-lepton and the neutrino sectors, giving their mass matrices a `circulant-plus-diagonal' form. Mass matrices of this form readily lead to mixing patterns with realistic deviations from tribimaximal mixing, including non-zero ${\theta }_{13}$. With the parameters constrained by existing measurements, our model predicts an inverted neutrino mass hierarchy. We obtain two distinct sets of solutions in which the atmospheric mixing angle lies in the first and the second octants. The first (second) octant solution predicts the lightest neutrino mass, $m_3\sim 29\text{meV}$ ($m_3\sim 65\text{meV}$) and the $CP$ phase, ${\delta }_{CP}\sim -\frac{\pi }{4}$ (${\delta }_{CP}\sim \frac{\pi }{2}$), offering the possibility of large observable $CP$ violating effects in future experiments.

9 pages, 3 figures

References in corpus (9)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Updated Values of Running Quark and Lepton Masses
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Flavor Group Delta(3n^2)
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Tri-bi-maximal mixing in viable family symmetry unified model with extended seesaw
• Exact One-Loop Evolution Invariants in the Standard Model

Cited by in corpus (6)

• Fermion masses and mixing in $\Delta (27)$ flavour model
• Leptogenesis in a $\Delta (27)\times SO(10)$ SUSY GUT
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• Non-zero ${\theta }_{13}$, CP-violation and Neutrinoless Double Beta Decay for Neutrino Mixing in the $A_4\times Z_2\times Z_3$ Flavor Symmetry Model
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry
• Phenomenological Implications of $\mathbf{\Delta }(54)$ Flavor Symmetry with Triple Inverse Seesaw