One vanishing minor in neutrino mass matrix using trimaximal mixing

TL;DR

This paper explores the implications of a specific neutrino mass matrix pattern with one vanishing minor, analyzing its compatibility with current data, predicting related physical quantities, and proposing a flavor model within the seesaw framework.

Contribution

It systematically studies all six patterns of one vanishing minor in neutrino mass matrices using trimaximal mixing, and introduces a flavor model to generate these patterns.

Findings

All six patterns are compatible with current neutrino oscillation data.

Predicted effective Majorana and electron anti-neutrino masses are within experimental reach.

The total neutrino mass predictions align with cosmological constraints.

Abstract

We investigate the implications of one vanishing minor in neutrino mass matrix using trimaximal mixing matrix. In this context, we analyse all six patterns of one vanishing minor zero in neutrino mass matrix and present correlations of the neutrino oscillation parameters. All the six patterns are found to be phenomenologically viable with the present neutrino oscillation data. We also predict the values of effective Majorana mass, the effective electron anti-neutrino mass and the total neutrino mass for all the patterns. The value obtained for the effective neutrino mass is within the reach future neutrinoless double $\beta$ decay experiments. We also propose a flavor model where such patterns can be generated within the seesaw model.