Abstract

The generic predictions of inverse Majorana neutrino mass matrix, M ν − 1 with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, θ 13 and CP-violating phases. Such type of mass models is natural in the context of seesaw models with Dirac neutrino mass matrix, M D , diagonal. Out of the fifteen possible texture two zeros patterns of the inverse neutrino mass matrix only seven are found to be compatible with the available data on neutrino masses and mixings including the latest T2K observation of non-zero θ 13 . It is, also, found that θ 13 = 0 is disallowed in the mass models investigated in the present work. While the neutrino mass matrices of type I and II are found to be necessarily CP-violating, type III is found to be CP-violating for a special case where θ 23 lies above maximality. The atmospheric mixing angle θ 23 is found to dictate the possible hierarchies in type I and II neutrino mass models. For type III, additional information regarding m e e will be required to rule out the inverted hierarchy (IH). A maximal θ 23 is found to be disallowed in all types of texture two zero M ν − 1 Ansätze.

Highlights

  • The generic predictions of inverse Majorana neutrino mass matrix, Mν−1 with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, θ13 and CP -violating phases

  • We focus on the phenomenological consequences of the remaining three viable texture two zeros in Mν−1 namely type I, II and III

  • A non-observance of 0νββ decay down to the sensitivity level of 0.05 eV, which is achievable in the future 0νββ experiments, will rule out inverted hierarchy (IH) for type I, II and III texture two zeros inverse neutrino mass models

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Summary

Introduction

The generic predictions of inverse Majorana neutrino mass matrix, Mν−1 with texture two zeros, in the basis where charged lepton mass matrix is diagonal, have been obtained for neutrino masses and mixings, especially, θ13 and CP -violating phases. Majorana phases (α, β) in terms of the remaining free parameters (θ12, θ23, θ13, δ) of the model for type I, II and III texture two zeros inverse neutrino mass matrices: ( ) m1 −2iα e = − m2 ( ) ( ) ( ) I , m1 −i(2β+δ) e = ( ) m3

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