High Scale Mixing Unification for Dirac Neutrinos

Abstract

Starting with high scale mixing unification hypothesis, we investigate the renormalization group evolution of mixing parameters and masses for Dirac type neutrinos. Following this hypothesis, the PMNS mixing angles and phase are taken to be identical to the CKM ones at a unifying high scale. Then, they are evolved to a low scale using renormalization-group equations. The notable feature of this hypothesis is that renormalization group evolution with quasi-degenerate mass pattern can explain largeness of leptonic mixing angles even for Dirac neutrinos. The renormalization group evolution "naturally" results in a non-zero and small value of leptonic mixing angle ${\theta }_{13}$. One of the important predictions of this work is that the mixing angle ${\theta }_{23}$ is non-maximal and lies only in the second octant. We also derive constraints on the allowed parameter range for the SUSY breaking and unification scales for which this hypothesis works. The results are novel and can be tested by present and future experiments.

13 pages, 7 figures, Results updated, Comments and References added, Conclusions unchanged

References in corpus (10)

• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Status of three-neutrino oscillation parameters, circa 2013
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Dirac or Inverse Seesaw Neutrino Masses with $B-L$ Gauge Symmetry and $S_3$ Flavour Symmetry
• Neutrino Mixings and Leptonic CP Violation from CKM Matrix and Majorana Phases
• Physics Reach of Atmospheric Neutrino Measurements at PINGU
• Grand Unification of Flavor Mixings
• Predictions from High Scale Mixing Unification Hypothesis

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• Discrete symmetries and mixing of Dirac neutrinos
• Flavour bounds on the flavon of a minimal and a non-minimal ${\mathcal{Z}}_2\times {\mathcal{Z}}_N$ symmetry
• Precise predictions for Dirac neutrino mixing
• Predictions from High Scale Mixing Unification Hypothesis
• Origin of the VEVs hierarchy
• The role of residual symmetries in dark matter stability and the neutrino nature
• Majorana phases in high-scale mixings unification hypotheses
• Investigating the sterile neutrino parameters with QLC in 3 + 1 scenario
• Can Leptonic Mixing Matrix have a Wolfenstein Form?
• Theory and phenomenology of Dirac neutrinos
• Does the Wolfenstein form work for the leptonic mixing matrix?