Lepton and quark mixing patterns with generalized CP transformations

TL;DR

This paper modifies a lepton and quark mixing model using generalized CP symmetries within a type II seesaw framework to predict maximal atmospheric mixing and CP violation, and explores implications for neutrino and quark properties.

Contribution

It introduces a modified model employing CP and discrete symmetries to predict specific mixing angles and phases in lepton and quark sectors, extending previous frameworks.

Findings

Predicted maximal atmospheric mixing angle

Predicted maximal CP violating Dirac phase

Derived conditions on neutrino mass matrix elements

Abstract

In this work, we have modified a scenario, originally proposed by Grimus and Lavoura, in order to obtain maximal values for atmospheric mixing angle and CP violating Dirac phase of the lepton sector. To achieve this, we have employed CP and some discrete symmetries in a type II seesaw model. In order to make predictions about neutrino mass ordering and the smallness of the reactor angle, we have obtained some conditions on the elements of the neutrino mass matrix of our model. Finally, within the framework of our model, we have studied quark masses and mixing pattern.