Universal Mass Texture, CP violation and Quark-Lepton Complementarity

TL;DR

This paper explores the connection between quark and lepton mixing angles, proposing that similar mass hierarchies and a universal mass matrix form under the seesaw mechanism explain observed empirical relations.

Contribution

It introduces a universal mass matrix with four texture zeros for Dirac fermions, linking quark-lepton mixing correlations to mass hierarchies and the seesaw mechanism.

Findings

Quark-Lepton Complementarity relations are explained by mass hierarchy similarities.

A universal mass matrix form with four texture zeros is proposed.

The model accounts for observed mixing angles and CP violation patterns.

Abstract

The measurements of the neutrino and quark mixing angles satisfy the empirical relations called Quark-Lepton Complementarity. These empirical relations suggest the existence of a correlation between the mixing matrices of leptons and quarks. In this work, we examine the possibility that this correlation between the mixing angles of quarks and leptons originates in the similar hierarchy of quarks and charged lepton masses and the seesaw mechanism type~I, that gives mass to the Majorana neutrinos. We assume that the similar mass hierarchies of charged lepton and quark masses allows us to represent all the mass matrices of Dirac fermions in terms of a universal form with four texture zeroes.