Radiative and Seesaw Threshold Corrections to the $S_3$ Symmetric Neutrino Mass Matrix

Abstract

We systematically analyze the radiative corrections to the $S_3$ symmetric neutrino mass matrix at high energy scale, say the GUT scale, in the charged lepton basis. There are significant corrections to the neutrino parameters both in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM) with large tan$\beta$, when the renormalization group evolution (RGE) and seesaw threshold effects are taken into consideration. We find that in the SM all three mixing angles and atmospheric mass squared difference are simultaneously obtained in their current 3$\sigma$ ranges at the electroweak scale. However, the solar mass squared difference is found to be larger than its allowed 3$\sigma$ range at the low scale in this case. There are significant contributions to neutrino masses and mixing angles in the MSSM with large tan$\beta$ from the RGEs even in the absence of seesaw threshold corrections. However, we find that the mass squared differences and the mixing angles are obtained in their current 3$\sigma$ ranges at low energy when the seesaw threshold effects are also taken into account in the MSSM with large tan$\beta$.

arXiv comment20 Pages, 2 Figures and 2 Tables

References in corpus (52)

• Observation of electron-antineutrino disappearance at Daya Bay
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Renormalization of the Neutrino Mass Operator
• Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences
• Running Neutrino Mass Parameters in See-Saw Scenarios
• Renormalization Group Equations for Seesaw Neutrino Masses
• Permutation Symmetry, Tri-Bimaximal Neutrino Mixing and the S3 Group Characters
• Neutrino Mass Operator Renormalization Revisited
• Lepton Mass Hierarchy and Neutrino Oscillations
• Can Neutrinos be Degenerate in Mass?
• Atmospheric Neutrino Oscillation and a Phenomenological Lepton Mass Matrix
• The Flavor Symmetry
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Quantum corrections to neutrino masses and mixing angles
• Neutrino Mass Matrix Running for Non-Degenerate See-Saw Scales
• Neutrino Mass Operator Renormalization in Two Higgs Doublet Models and the MSSM
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Naturalness of nearly degenerate neutrinos
• Maximal Neutrino Mixing and Maximal CP Violation
• Nearly degenerate neutrinos, Supersymmetry and radiative corrections
• S3 x Z2 model for neutrino mass matrices
• Running Neutrino Masses, Leptonic Mixing Angles and CP-Violating Phases: From $M_{\mathrm{Z}}$ to ${\Lambda }_{\mathrm{GUT}}$
• Relatively large theta13 and nearly maximal theta23 from the approximate S3 symmetry of lepton mass matrices
• Neutrino Masses with "Zero Sum" Condition: $m_{{\nu }_1}+m_{{\nu }_2}+m_{{\nu }_3}=0$
• S_3 Symmetry and Neutrino Masses and Mixings
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Large Mixing Angle MSW Solution in S_3 Flavor Symmetry
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• An approach to permutation symmetry for the electroweak theory
• Perturbed S3 neutrinos
• Radiatively broken symmetries of nonhierarchical neutrinos
• Fritzsch neutrino mass matrix from S3 symmetry
• Neutrino mixing with broken $S_3$ symmetry
• Permutation Symmetry for Neutrino and Charged-Lepton Mass Matrices
• Radiative Generation of ${\theta }_{13}$ with the Seesaw Threshold Effect
• Broken $S_3$ Symmetry in the Neutrino Mass Matrix
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• Predictive Framework with a Pair of Degenerate Neutrinos at a high scale
• Renormalization group running of neutrino parameters in the inverse seesaw model
• Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• Radiative corrections to the leptonic Dirac CP-violating phase
• Naturally perturbed S${}_3$ neutrinos
• Threshold effects and renormalization group evolution of neutrino parameters in TeV scale seesaw models

Cited by in corpus (11)

• A highly predictive $A_4$ flavour 3-3-1 model with radiative inverse seesaw mechanism
• Scotogenic S3 symmetric generation of realistic neutrino mixing
• A neutrino mass model with S3 symmetry and see-saw interplay
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Muon anomalies and the $SU(5)$ Yukawa relations
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Hierarchical majorana neutrinos from democratic mass matrices
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures