Quasi-degenerate Neutrino mass models and their significance: A model independent investigation

Abstract

The prediction of possible ordering of neutrino masses relies mostly on the model selected. Alienating the $\mu -\tau$ interchange symmetry from discrete flavour symmetry based models, turns the neutrino mass matrix less predictive. But this inspires one to seek the answer from other phenomenological frameworks. We need a proper parametrization of the neutrino mass matrices concerning individual hierarchies. In the present work, we attempt to study the six different cases of Quasi-degenerate (QDN) neutrino models. The related mass matrices, $m_{LL}^{\nu }$ are parametrized with two free parameters ($\alpha ,\eta$) and standard Wolfenstein parameter ($\lambda$). The input mass scale $m_0$ is selected around $\sim 0.08eV$. We begin with a $\mu -\tau$ symmetric neutrino mass matrix tailed by a correction from charged lepton sector. The parametrization accentuates the existence of four independent texture zero building block matrices which are common to all the QDN models under $\mu -\tau$ symmetric framework. These remain invariant irrespective of any choice of solar angle. In our parametrization, the neutrino sector controls the solar angle, whereas the reactor and atmospheric angles are dictated by the charged lepton sector. In the framework of oscillation experiments, cosmological observation and future experiments involving $\beta$-decay and $0\nu \beta \beta$ experiments, all QDN models are tested and a reason to rule out anyone out of the six models is unfounded. A strong preference for ${\sin }^2{\theta }_{12}=0.32$ is observed for QDNH-$TypeA$ model.

References in corpus (19)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Observation of electron-antineutrino disappearance at Daya Bay
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Global status of neutrino oscillation parameters after Neutrino-2012
• Global fit to three neutrino mixing: critical look at present precision
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• The golden ratio prediction for the solar neutrino mixing
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Majorana Neutrinos, Neutrino Mass Spectrum and the |<m>| ~ 0.001 eV Frontier in Neutrinoless Double Beta Decay
• A4xSU(5) SUSY GUT of Flavour with Trimaximal Neutrino Mixing
• Deviation from tri-bimaximal mixings in two types of inverted hierarchical neutrino mass models
• Validity of quasi-degenerate neutrino mass models and their predictions on baryogenesis
• Lowering solar mixing angle in inverted hierarchy without charged lepton corrections
• Type-II seesaw mass models and baryon asymmetry
• Models of maximal atmospheric neutrino mixing
• Quasi-Degenerate Neutrino Masses with Normal and Inverted Hierarchy
• Realizations of mu-tau interchange symmetry
• Degenerate neutrino mass models revisited

Cited by in corpus (1)

• Modulated bimaximal neutrino mixing