Clues towards unified textures

TL;DR

This paper explores how starting from general mass matrices and applying certain transformations can lead to specific texture four zero matrices that successfully fit quark and lepton mixing data, suggesting a unified approach.

Contribution

It demonstrates that texture four zero mass matrices, similar to Fritzsch ansatze, can be derived from general matrices using Weak Basis transformations and naturalness, unifying quark and lepton mixing descriptions.

Findings

Texture four zero matrices fit both quark and lepton data

Derived from general matrices via transformations

Similar to Fritzsch ansatze

Abstract

The issue of texture specific mass matrices has been discussed by incorporating Weak Basis transformations and the concept of `naturalness'. Interestingly, we find that starting from the most general mass matrices, one can arrive at texture four zero mass matrices which can fit both quark as well as lepton mixing data and are similar to the original Fritzsch ansatze.