Seesaw model and two zero flavor neutrino texture

TL;DR

This paper explores specific neutrino mass matrix textures within the seesaw model, identifying four compatible configurations and deriving their analytical relations, notably linking the Dirac mass matrix to the effective Majorana mass.

Contribution

It provides a complete classification of four-zero Dirac neutrino mass textures compatible with observed neutrino data in the seesaw framework.

Findings

Identifies four viable neutrino mass matrix textures.

Derives analytical relation between Dirac mass matrix and Majorana mass.

Links neutrino mass textures to neutrinoless double beta decay data.

Abstract

In the two zero flavor neutrino mass matrix scheme with nonvanishing Majorana effective mass $M_{ee}$ for the neutrino less double beta decay, four textures are compatible with observed data. We obtain the complete list of the possible textures of four zero Dirac neutrino mass matrix $m_D$ in the seesaw mechanism providing these four flavor neutrino textures. Explicit analytical analysis of $m_D$ turns out to provide the relation of $m_D \propto \sqrt{M_{ee}}$.