Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme

Abstract

In this work we revisit the zero textures in low energy Majorana neutrino mass matrix when the active neutrino sector is extended by a light sterile neutrino in the eV scale i.e., the 3+1 scheme. In 3+1 scenario, the low energy neutrino mass matrix (mν ) has ten independent elements. Thus in principle one can have minimum one-zero texture to maximum ten-zero texture. We summarize the previous results of one, two, three and four-zero textures which already exist in the literature and present our new results on five-zero textures. In our analysis we find that among six possible five-zero textures, only one is allowed by the present data. We discuss possible theoretical model which can explain the origin of the allowed five-zero texture and discuss other possible implications of such a scenario. Our results also concludes that in 3+1 scheme, one can not have more than five-zeros in mν .

Compatibility of $$A_{4}$$ A 4 flavour symmetric minimal extended seesaw with $$(3+1)$$ ( 3

“…Texture zeros in 3 + 1 neutrino scenarios were discussed in different contexts earlier using flavour symmetries like Z N , U (1) etc. [51,53,54] but here we show that some of these textures can be realised (upto a few more constraints) just from the vacuum alignment of A 4 triplet flavons. We first make the classifications for allowed and disallowed textures based on already known texture results in 3 + 1 neutrino frameworks [51,53,[59][60][61][62] and then numerically analyse some of the textures which have not been studied before.…”

“…We first single out the disallowed textures based on the known results from previous analysis [51][52][53][59][60][61][62]. They are given as follows.…”

“…While the usual seesaw mechanisms like type I [28][29][30][31][32], type II [33][34][35][36][37][38][39] and type III [40] explaining the lightness of active neutrinos were studied in details for a long time, their extensions to the 3+1 case was not very straightforward primarily due to the gauge singlet nature of the sterile neutrino. Yet, there have been several proposals to generate a 4 × 4 light neutrino mass matrix within different seesaw frameworks in recent times [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. Here we adopt a minimal framework known as the minimal extended seesaw proposed in the 3 + 1 neutrino context by [42,43] and study different possible realisations within the framework of non-abelian discrete flavour symmetry A 4 .…”

Phenomenological study of texture zeros in lepton mass matrices of minimal left-right symmetric model

“…We then summarize the contributions to NDBD and CLFV in LRSM in section IV, V respectively. We discuss our numerical analysis and 2 Please see [59][60][61] and references therein for texture zero works in 3 + 1 neutrino scenarios and [62] for related phenomenological study of texture zeros in all relevant lepton mass matrices of a particular seesaw model. results in section VI and then finally conclude in section VII.…”

$$3+1$$ active–sterile neutrino mixing in $$B-L$$ model with $$S_{3}{\times Z_4\times Z_2}$$ symmetry for normal neutrino mass ordering

“…[64], however, the active-sterile neutrino mass and mixing has not been addressed. 1 In other recent works, activesterile neutrino mass and mixing have been considered with A 4 [66,68,90,104,105], D 4 [77] and texture zeros with Z N [87,92,95]. To our best knowledge S 3 symmetry has not been considered before in the 3 + 1 neutrino scheme with B − L model.…”