Deviations of exact neutrino textures using radiative neutrino masses

TL;DR

This paper demonstrates how radiative neutrino mass models can produce exact mixing matrices with zero $ heta_{13}$ and how higher-order loops introduce realistic perturbations, aligning with experimental data.

Contribution

It introduces a novel approach using one-loop and two-loop diagrams to generate neutrino masses and mixing matrices with precise deviations from exact textures.

Findings

One-loop diagrams can produce exact neutrino mixing matrices with $ heta_{13} = 0$.

Two-loop diagrams naturally generate small perturbations matching experimental constraints.

The model allows for large CP Dirac phases in neutrino mixing.

Abstract

The Weinberg operator allows for the construction of radiative Majorana neutrino masses. In this letter, it will be shown that it is possible to construct a one-loop diagram that will be the principal component of the neutrino mass matrix and that will have an exact mixing matrix with $\theta_{13} =0$. The addition of a two-loop diagram, which is naturally suppressed, allows the creation of the correct perturbations that will give a neutrino mixing matrix with entries inside experimental constrains, including the possibility of large CP Dirac phases.