# Clockwork origin of neutrino mixings

## TL;DR

This paper introduces a nine-generation clockwork model explaining neutrino mixings, demonstrating that observed mixing patterns can naturally emerge from the clockwork sector through specific parameter choices.

## Contribution

It proposes a novel nine-generation clockwork framework that accounts for neutrino mixing patterns using clockwork parameters, advancing the understanding of neutrino mass origins.

## Key findings

- Neutrino mixings can be exactly reproduced in the $q_{aeta}$ origin scenario.
- Correct order of magnitude for neutrino mixings achieved in the $n_{aeta}$ origin scenario.
- Clockwork parameters successfully generate realistic neutrino mixing patterns.

## Abstract

The clockwork mechanism provides a natural way to obtain hierarchical masses and couplings in a theory. We propose a clockwork model that has nine clockwork generations. In this model, the candidates of the origin of the neutrino mixings are nine Yukawa mass matrix elements $Y^{a\beta}$ that connect neutrinos and clockwork fermions, nine clockwork mass ratios $q_{a\beta}$, and nine numbers of clockwork fermions $n_{a\beta}$, where $a, \beta=1,2,3$. Assuming $|Y^{a\beta}|=1$, the neutrino mixings originate from the pure clockwork sector. We show that the observed neutrino mixings are exactly obtained from a clockwork model in the case of the $q_{a\beta}$ origin scenario. In the $n_{a\beta}$ origin scenario, the correct order of magnitude of the observed neutrino mixings is obtained from a clockwork model.