Particular textures of the minimal seesaw model

TL;DR

This paper investigates specific textures of the Dirac neutrino mass matrix within the minimal seesaw model, considering current experimental data and leptogenesis, focusing on two patterns of the Majorana mass matrix.

Contribution

It systematically analyzes particular textures with zeros and equalities in the Dirac mass matrix for two Majorana mass matrix patterns, advancing understanding of neutrino mass generation.

Findings

Identifies viable textures consistent with experimental data.

Provides constraints on mass matrix parameters for leptogenesis.

Highlights differences between the two Majorana mass matrix patterns.

Abstract

Following the Occam's razor principle, we explore the particular textures (featuring texture zeros and equalities) of the Dirac neutrino mass matrix in the minimal seesaw model (where only two right-handed neutrinos $N^{}_1$ and $N^{}_2$ are responsible for the generation of the light neutrino masses), in light of current neutrino experimental results and leptogenesis. The study will be performed for two particular patterns of the Majorana mass matrix $M^{}_{\rm R}$ for $N^{}_1$ and $N^{}_2$: (A) $M^{}_{\rm R}$ being diagonal $ \left( \begin{array}{cc} M^{}_1 & 0 \cr 0 & M^{}_2 \cr \end{array} \right)$; (B) $M^{}_{\rm R}$ being of the form $\left( \begin{array}{cc} 0 & M \cr M & 0 \cr \end{array} \right)$.