The magic of four zero neutrino Yukawa textures

TL;DR

This paper explores the unique four-zero textures in neutrino Yukawa matrices, revealing their implications for leptogenesis and the constraints imposed by $$ symmetry, and identifies the surviving neutrino mass matrix forms.

Contribution

It identifies the maximum four-zero textures in neutrino Yukawa matrices and analyzes their compatibility with $$ symmetry, linking high-scale CP violation to observable parameters.

Findings

Only one neutrino mass matrix form is fully compatible with the textures and symmetry.

Another neutrino mass matrix form is marginally allowed under the same constraints.

The four-zero textures uniquely determine the high-scale CP violation needed for leptogenesis.

Abstract

Four is the maximum number of texture zeros allowed in the Yukawa coupling matrix of three massive neutrinos. These completely fix the high scale CP violation needed for leptogenesis in terms of that accessible at laboratory energies. $\mu\tau$ symmetry drastically reduces such allowed textures. Only one form of the light neutrinos mass matrix survives comfortably while another is marginally allowed.