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$\beta$.

20 Pages, 2 Figures and 2 Tables

References in corpus (14)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• S_3 Symmetry and Neutrino Masses and Mixings
• 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
• Fritzsch neutrino mass matrix from S3 symmetry
• Radiatively broken symmetries of nonhierarchical neutrinos
• A direct link between neutrinoless double beta decay and leptogenesis in a seesaw model with $S_4$ symmetry
• 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

Cited by in corpus (2)

• A neutrino mass model with S3 symmetry and see-saw interplay
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases