Investigating the Hybrid Textures of Neutrino Mass Matrix for Near Maximal Atmospheric Neutrino Mixing

Abstract

We have studied that the implication of a large value of the effective Majorana neutrino mass in case of neutrino mass matrices has either two equal elements and one zero element (popularly known as hybrid texture) or two equal cofactors and one zero minor (popularly known as inverse hybrid texture) in the flavor basis. In each of these cases, four out of sixty phenomenologically possible patterns predict near maximal atmospheric neutrino mixing angle in the limit of large effective Majorana neutrino mass. This feature remains irrespective of the experimental data on solar and reactor mixing angles. In addition, we have also performed the comparative study of all the viable cases of hybrid and inverse hybrid textures at 3 CL.

Constrained neutrino mass matrix and Majorana phases

“…A predictive neutrino mass matrix inherently shelters certain correlations/constraints among its constituent elements. In this regard, several promising approaches are explored, such as texture zeros [34], hybrid textures [35] and vanishing minors [36], etc. However, deviating a little from the established methodologies, in the present work, we adopt a new approach emphasizing on simple linear correlation among the neutrino mass matrix elements.…”

The $μ$-$τ$ mixed symmetry and neutrino mass matrix

“…The neutrino mass matrix carries the information of all the physical parameters mentioned above and the theorists in general, try to predict a promising neutrino mass matrix starting from the first principle. Several phenomenological ideas such as µ − τ symmetry [5][6][7], texture zeroes [8,9], hybrid textures [10,11], vanishing minors [12,13] etc. are attributed to the neutrino mass matrix and are studied extensively from both bottom-up and top-down viewpoints.…”