Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros

Abstract

We study the range of the elements of the neutrino mass matrix m ν in the charged lepton basis. Neutrino-less double beta decay is sensitive to the ee element (the effective mass) of m ν . We then analyze the phenomenological implications of single texture zeros. In particular, interesting predictions for the effective mass can be obtained, in the sense that typically only little cancellation due to the Majorana phases is expected. Some cases imply constraints on the atmospheric neutrino mixing angle. *

Phenomenological analysis of hybrid textures of neutrinos

“…One such subgroup is the quaternion group Q 8 [3] which not only accommodates the three generations of fermions but also explains the rather large difference between values of 2-3 mixings in the quark and lepton sectors. Quaternion symmetry like some other discrete symmetries leads to nontrivial relationships amongst the non-zero mass matrix elements which underscores the inadequacy of texture zero analyses [4,5,6,7,8,9,10,11] in isolation. Such textures which have equalities between different elements alongwith the vanishing of some elements of the mass matrix have been referred to as hybrid textures in the literature.…”

Phenomenological implications of a class of neutrino mass matrices

“…Under the circumstances, it is natural to employ other theoretical inputs * dev5703@yahoo.com † sanjeev3kumar@yahoo.co.in ‡ s 7verma@yahoo.co.in § shiroberts 1980@yahoo.co.in 1 for the reconstruction of the neutrino mass matrix. Several proposals have been made in the literature to restrict the form of the neutrino mass matrix and to reduce the number of free parameters which include presence of texture zeros [1,2,3,4], requirement of zero determinant [5,6] and the zero trace condition [7] to name a few. However, the current neutrino oscillation data are consistent only with a limited number of texture schemes [1,2,3,4].…”

“…For vanishing θ 13 , m eµ or m eτ can only be zero if m 1 = m 2 and α = 90 0 which implies a lower bound on θ 13 [4]. Therefore, the angle θ 13 will be bounded from below for neutrino mass matrices of class A.…”

Probing texture zeros with scaling ansatz in inverse seesaw

“…Our goal in this work is to find out a phenomenologically viable texture of m D and µ with minimum number of parameters or equivalently maximum number of zeros. We bring together two theoretical ideas to find out a minimal texture and they are i) Scaling ansatz [17][18][19][20][21][22][23][24][25][26][27], ii) Texture Zeros [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”