Neutrino Mass Matrices from Two Zero 3x2 Yukawa Textures and Minimal d=5 Entries

TL;DR

This paper explores specific neutrino mass matrix textures within an extended MSSM framework, linking CP violation in neutrinos to cosmological asymmetry, and provides classifications and predictive relations for viable models.

Contribution

It systematically classifies all viable two-zero 3x2 Yukawa textures with a dimension five operator in an extended MSSM, deriving analytical predictions and relations involving CP phases.

Findings

Classified all experimentally viable neutrino mass matrices.

Derived analytical relations between CP phases and leptogenesis.

Identified predictive textures consistent with current data.

Abstract

Aiming to relate leptonic CP violating phase $\delta $ to the cosmological CP asymmetry, we study the extension of MSSM by two quasi-degenerate (strictly degenerate at tree level) right-handed neutrinos and consider all possible two texture zero 3x2 Yukawa matrices plus one $\Delta L=2$ dimension five (d=5) operator contributing to the light neutrino mass matrix. We classify all experimentally viable mass matrices, leading to several predictions, and analytically derive predictive relations. We also relate the CP violating $\delta$ phase to the CP phase of the thermal leptogenesis.