Predictions of $m_{ee}$ and neutrino mass from a consistent Froggatt-Nielsen model

TL;DR

This paper uses a Froggatt-Nielsen model to predict the effective neutrino mass and total neutrino mass, providing testable predictions for neutrinoless double beta decay in future experiments.

Contribution

It introduces a simple, consistent Froggatt-Nielsen model that explains quark and lepton masses and mixing, and predicts neutrino masses relevant for upcoming experiments.

Findings

A significant portion of parameter space predicts detectable $m_{ee}$ values.

The model aligns with observed quark and lepton mass hierarchies.

Predictions suggest near-future experiments could observe neutrinoless double beta decay.

Abstract

The seesaw mechanism is the most attractive mechanism to explain the small neutrino masses, which predicts the neutrinoless double beta decay ($0\nu\beta\beta$) of the nucleus. Thus the discovery of $0\nu\beta\beta$ is extremely important for future particle physics. However, the present data on the neutrino oscillation is not sufficient to predict the value of $m_{ee}$ as well as the neutrino mass $m_\nu^i$. In this short article, by adopting a simple and consistent Froggatt-Nielsen model, which can well explain the observed masses and mixing angles of quark and lepton sectors, we calculate the distribution of $m_{ee}$ and $m_\nu^i$. Interestingly, a relatively large part of the preferred parameter space can be detected in the near future.