Neutrino mass matrices with a texture zero and a vanishing minor

Abstract

We study the implications of the simultaneous existence of a texture zero and a vanishing minor in the neutrino mass matrix. There are thirty six possible texture structures of this type, twenty one of which reduce to two texture zero cases which have, already, been extensively studied. Of the remaining fifteen textures only six are allowed by the current data. We examine the phenomenological implications of the allowed texture structures for Majorana type CP-violating phases, 1-3 mixing angle and Dirac type CP-violating phase. All these possible textures can be generated through the seesaw mechanism and realized in the framework of discrete abelian flavor symmetry. We present the symmetry realization of these texture structures. * Electronic address: dev5703@yahoo.com †

Neutrino mass matrices with one texture equality and one vanishing neutrino mass

“…A popular approach to understand the leptonic mixing structure is reducing the number of free parameters by adding Abelian or non-Abelian flavor symmetries, leading to specific texture structures of neutrino mass matrix (M ν ). Some common models include texture-zeros [2,3,4,5,6,7], hybrid textures [8,9], zero trace [10], vanishing minors [11,12,13], two traceless submatrices [14], equal elements or cofactors [15], hybrid M −1 ν textures [16], partial µ − τ symmetry [17].…”

Parallel lepton mass matrices with texture and cofactor zeros

“…The phenomenological examination of texture zeros or cofactor zeros in flavor basis have been widely studies in Ref. [5,6,[14][15][16] where the charged lepton mass matrices M l are diagonal. However, no universal principle is required that the flavor basis is necessary and the more general cases should be considered in no diagonal M l basis.…”

“…Several attempts have been proposed to explain the origin of neutrino mass and the observed pattern of leptonic mixing by introducing the flavor symmetries within the framework of seesaw models [4]. The flavor symmetry often reduces the number of free parameters and leads to the specific structures of fermion mass matrices including texture zeros [5][6][7][8][9], hybrid textures [10,11], zero trace [12], zero determinant [13], vanishing minors [14][15][16], two traceless submatrices [17], equal elements or cofactors [18], inverse hybrid textures [19]. Among these models, the matrices with texture or cofactor zeros are particularly interesting due to their connections to the flavor symmetries.…”

Neutrino mass matrices with two vanishing elements/cofactors

“…Relatively large value of θ 13 has brightened the prospects for exploring the Dirac-type CP-violating phase δ in the lepton sector, determining the octant of atmospheric mixing angle (θ 23 ) and identifying neutrino mass hierarchy. However, the currently available data on neutrino masses and mixings is not enough to determine the neutrino mass matrix (M ν ) unambiguously and additional theoretical inputs such as zero textures [6][7][8][9][10][11][12], vanishing minors [13][14][15][16][17][18][19], hybrid textures [20][21][22] and equalities between elea e-mail: dev@hnbgu.ac.in; sdev@iucaa.ernet.in b e-mail: lalsingh96@yahoo.com c e-mail: raj.physics88@gmail.com ments [23] amongst others which restrict the structure of M ν become necessary for further progress.…”