Understanding the Masses and Mixings of One-Zero Textures in 3+1 Scenario

Abstract

We present a detailed analysis and phenomenological consequences of neutrino mass matrix, $M_{\nu }$, with one-zero texture in the flavor basis where the active neutrino sector is extended by one sterile neutrino (3+1 case). In particular, our aim is to explore behaviour of the sterile mixing parameters in detail when one of the elements of the neutrino mass matrix goes to zero. To study this, we consider two distinct mass spectrum of the active neutrinos: (i) completely hierarchical mass spectrum with a vanishing neutrino mass and (ii) completely quasidegenerate mass spectrum. In 3+1 scenario, the low energy neutrino mass matrix, $M_{\nu }$, is a $4\times 4$ matrix and has 10 independent elements. Thus it can have 10 possible one-zero textures. From the earlier studies it can be inferred that, if one assumes one vanishing neutrino mass, then only seven of these $M_{\nu }$ are phenomenologically allowed by the current neutrino oscillation data. On the other hand, if the neutrinos are quasidegenerate then there are eight phenomenologically viable one-zero textures. In this present work, we study the correlations between the sterile mixing parameters for each of these allowed textures for both mass spectrum and also their implications on the effective Majorana mass.

18 pages, 9 figures, 2 tables, Version accepted for publication in Int. J. Mod. Phys. A

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Cited by in corpus (9)

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• Phenomenological study of extended seesaw model for light sterile neutrino
• Compatibility of $A_4$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data
• Analysis of four-zero textures in $3+1$ framework
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• $B-L$ model with $A_4\times Z_3\times Z_4$ symmetry for $3+1$ active$-$sterile neutrino mixing
• New mixing schemes for (3+1) neutrinos
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• The eV-Scale Sterile Neutrino and Neutrinoless Double Beta Decay