Implications of the Dark-LMA solution for neutrino mass matrices

Monojit Ghosh,Srubabati Goswami,Ananya Mukherjee

doi:10.1016/j.nuclphysb.2021.115460

Abstract

In this work we have re-investigated two different kinds of texture zero ansatz of the low energy neutrino mass matrix in view of the Dark-Large-Mixing-Angle (DLMA) solution of the solar neutrino problem which can arise in the presence of non-standard interactions. In particular we revisit the cases of (i) one zero mass matrices when the lowest neutrino mass is zero and (ii) one zero texture with a vanishing minor. In our study we find that for most of the cases, the texture zero conditions which are allowed for the LMA solution, are also allowed for the DLMA solution. However, we found two textures belonging to the case of one zero texture with a vanishing minor where LMA solution does not give a viable solution whereas DLMA solution does. We analyze all the possible texture zero cases belonging to these two kinds of texture zero structures in detail and present correlations between different parameters. We also present the predictions for the effective neutrino mass governing neutrino-less double beta decay for the allowed textures.

Highlights

With neutrino physics being in the precision era, the determination of neutrino observables and the associated theoretical studies have become one of the prime objectives in astroparticle and high energy physics
On account of the presence of non standard interaction (NSI), solar neutrino data admit a new solution corresponding to θ12 > 450, which is known as dark large mixing angle (DLMA) solution [3,4,5]
We find that among the six possible scenarios only four are allowed for both LMA and DLMA solution of θ12 in inverted hierarchy (IH)

Summary

Introduction

With neutrino physics being in the precision era, the determination of neutrino observables and the associated theoretical studies have become one of the prime objectives in astroparticle and high energy physics. Very recently neutrino-nucleus scattering data from COHERENT experiment has been found to constrain the DLMA parameter space severely [6] These bounds are model dependent and it depends on the mass of the light mediator [7]. Study of texture zero in the standard three flavour scenario has been carried out in great detail in light of the LMA solution. The study of one zero texture with a vanishing minor in light of LMA solution is carried out in [39, 40].

Low energy neutrino mass matrix

One-zero textures

One zero texture and one vanishing minor

Predictions for neutrinoless double beta decay

Conclusion