Unveiling Neutrino Mysteries with $\Delta (27)$ Symmetry

Abstract

An elegant model is proposed by extending the Standard Model using the $\Delta (27)\times Z_3\times Z_{10}$ symmetry within the framework of the Type-I + Type-II seesaw mechanism. This model is particularly noteworthy for its ability to restrict the atmospheric mixing angle, ${\theta }_{23}$, to specific values, and provides an explanation for the observed hierarchy of charged lepton masses. The neutrino mass matrix texture defined by three real parameters, predicts the three neutrino mass eigenvalues and the two Majorana phases. Furthermore, the model is tested against the experimental results of neutrino-less double beta ($0\nu \beta \beta$) decay and charged lepton flavour violation (cLFV) experiments.

29 pages, 10 tables and 33 figures

References in corpus (23)

• Final Results of GERDA on the Search for Neutrinoless Double-$\beta$ Decay
• Neutrino Masses and the LHC: Testing Type II Seesaw
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen
• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Lepton Flavour Violating Decays tau to lll and mu to e gamma in the Higgs Triplet Model
• Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
• Final result of CUPID-0 phase-I in the search for the ${}^{82}$Se Neutrinoless Double Beta Decay
• A complete survey of texture zeros in the lepton mass matrices
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Fermion masses and mixing in $\Delta (27)$ flavour model
• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Introduction to Charged Lepton Flavour Violation
• Fermion mass hierarchy in an extended left-right symmetric model
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis
• Z_3 Symmetry and Neutrino Mixing in Type II Seesaw
• Revisiting the Dirac Nature of Neutrinos in the Light of $\Delta (27)$ and Cyclic Symmetries
• Tree level Majorana neutrino mass from Type-1 $\times$ Type-2 Seesaw mechanism with Dark Matter
• A Realistic Neutrino mixing scheme arising from $A_4$ symmetry
• Fermion mass hierarchy and lepton flavor violation using $CP$ symmetry
• Flavored Leptogenesis and Neutrino Mass with $A_4$ Symmetry
• Interplay of type-I and type-II seesaw in neutrinoless double beta decay in left-right symmetric model
• Predictive linear seesaw model with $\Delta \left(27\right)$ family symmetry

Cited by in corpus (2)

• The Seesaw Evaded Modular Dirac Framework
• A unique Neutrino Mass Matrix Texture under Exponential Parametrization