Maximal zero textures of the inverse seesaw with broken $\mu \tau$ symmetry

Abstract

The inverse neutrino seesaw, characterised by only one source of lepton number violation at an ultralight $O$(keV) scale and observable new phenomena at TeV energies accessible to the LHC, is considered. Maximal zero textures of the $3\times 3$ lighter and heavier Dirac mass matrices of neutral leptons, appearing in the Lagarangian for such an inverse seesaw, are studied within the framework of $\mu \tau$ symmetry in a specified weak basis. That symmetry ensures the identity of the positions of maximal zeros of the heavy neutrino mass matrix and its inverse. It then suffices to study the maximal zeros of the lighter Dirac mass matrix and those of the inverse of the heavier one since they come in a product. The observed absence of any unmixed neutrino flavour and the assumption of no strictly massless physical neutrino state allow only eight $4$-zero $\times$ $4$-zero, eight $4$-zero $\times$ $6$-zero and eight $6$-zero $\times$ $4$-zero combinations. The additional requirement of leptogenesis is shown to eliminate the last sixteen textures. The surviving eight $4$-zero $\times$ $4$-zero textures are subjected to the most general explicit $\mu \tau$ symmetry breaking terms in the Lagrangian in order to accommodate the nonzero value of ${\theta }_{13}$ in the observed range. A full diagonalisation is then carried out. On numerical comparison with all extant and relevant neutrino (antineutrino) data, seven of these eight combination textures in five neutrino matrix forms are found to be allowed, leading to five distinct neutrino mass matrices. Two of these permit only a normal (and the other three only an inverted) mass ordering of the light neutrinos.

20 pages, no figure, published in Indian Journal of Physics (Special issue commemorating the 125th birth anniversary of C.~V.~Raman)

References in corpus (8)

• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Global fit to three neutrino mixing: critical look at present precision
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Leptogenesis with TeV Scale Inverse Seesaw in SO(10)
• Four Zero Neutrino Yukawa Textures in the Minimal Seesaw Framework
• Baryon asymmetry from leptogenesis with four zero neutrino Yukawa textures
• Neutrino Yukawa textures within type-I see-saw
• Looking for Leptonic CP Violation with Neutrinos

Cited by in corpus (10)

• A complete survey of texture zeros in the lepton mass matrices
• Probing maximal zero textures with broken cyclic symmetry in inverse seesaw
• Maximal Zero Textures in Linear and Inverse Seesaw
• Probing texture zeros with scaling ansatz in inverse seesaw
• Evaluation of the Majorana Phases of a General Majorana Neutrino Mass Matrix: Testability of hierarchical Flavour Models
• Fermion Mass and Mixing in a Low-Scale Seesaw Model based on the S4 Flavor Symmetry
• Impact of texture zeros on dark matter and neutrinoless double beta decay in inverse seesaw
• Flavor symmetric origin of texture zeros in minimal inverse seesaw and impacts on leptogenesis
• The mixing angle as a function of neutrino mass ratio
• Explaining muon $g-2$ anomaly in a non-universal $U(1{)}_X$ extended SUSY theory