Is magic texture for Majorana neutrino immanent in Dirac nature?

TL;DR

This paper explores the potential for magic textures, typically associated with Majorana neutrinos, to be approximately realized in Dirac neutrino mass matrices, suggesting a slight preference for normal mass ordering.

Contribution

It demonstrates that certain magic textures for Majorana neutrinos can be approximately embedded in Dirac neutrino mass matrices, providing new insights into neutrino mass models.

Findings

Magic textures are approximately realizable in Dirac neutrino mass matrices.

Normal mass ordering is slightly favored over inverted ordering.

The study links texture patterns between Majorana and Dirac neutrino frameworks.

Abstract

The magic textures are successful candidates of the correct texture for the Majorana neutrinos. In this study, we show that some types of magic texture for Majorana neutrinos approximately immanent in the flavor mass matrix for Dirac neutrinos. In addition, it turned out that the normal mass ordering of the Dirac neutrino masses is slightly preferable to the inverted mass ordering in the context of the magic textures.