Scaling ansatz with texture zeros in linear seesaw

Abstract

We investigate scaling ansatz with texture zeros within the framework of linear seesaw mechanism. In this variant of seesaw mechanism a simplified expression of effective neutrino mass matrix $m_{\nu }$ containing two Dirac type matrices ($m_D$ and $m_{DS}$) and one Majorana type matrix ($m_{RS}$) is obtained by virtue of neglecting the global $U(1{)}_L$ symmetry breaking term in the mass term of the Lagrangian. Along with the charged lepton mass matrix, the matrix $m_{RS}$ too, is chosen in a diagonal basis whereas a scaling relation is incorporated in $m_D$ and $m_{DS}$ with different scale factors. Our goal in this work is to achieve a completely phenomenologically acceptable $m_{\nu }$ generated by combinations of $m_D$ and $m_{DS}$ containing least number of independent parameters or maximum number of zeros. At the end of the numerical analysis it is found that number of zeros in any of the constituent Dirac type matrices ($m_D$ and $m_{DS}$) of $m_{\nu }$ cannot be greater than six in order to meet the phenomenological requirements. The hierarchy obtained here is normal and also the values of the two parameters sum mass ($\sum m_i$) and $|m_{{\nu }_{ee}}|$ are below the present experimental lower limit.

18 pages, 10 tables, 1 figure, Accepted for publication in Physics Letters B

References in corpus (20)

• 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
• Neutrino oscillations refitted
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Neutrino cosmology and Planck
• A complete survey of texture zeros in the lepton mass matrices
• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Scaling in the Neutrino Mass Matrix
• Phenomenological consequences of four zero neutrino Yukawa textures
• Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework
• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Minimal Seesaw Textures with Two Heavy Neutrinos
• Texture and Cofactor Zeros of the Neutrino Mass Matrix
• Combined flavor symmetry violation and lepton number violation in neutrino physics
• Baryon asymmetry from leptogenesis with four zero neutrino Yukawa textures
• The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis
• Neutrino Mass Matrix from Seesaw Mechanism Subjected to Texture Zero and Invariant Under a Cyclic Permutation
• The Hunt for neutrinoless double beta decay with the NEXT experiment
• Looking for Leptonic CP Violation with Neutrinos

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• Maximal Zero Textures in Linear and Inverse Seesaw
• Probing texture zeros with scaling ansatz in inverse seesaw
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Evaluation of the Majorana Phases of a General Majorana Neutrino Mass Matrix: Testability of hierarchical Flavour Models
• An extended 3-3-1 model with two scalar triplets and linear seesaw mechanism
• Comment on the article by D. Borah and B. Karmakar "Linear seesaw for Dirac neutrinos with A4 flavour symmetry", Phys. Lett. B789 (2019) 59-70, arXiv: 1806.10685
• A Froggatt-Nielsen flavor model for neutrino physics
• General Approach to Neutrino Mass Mechanisms with Sterile Neutrinos