# Neutrino nature, total and geometric phase

## TL;DR

This paper investigates how total and geometric phases in neutrino mixing vary with the neutrino's nature and mixing matrix representation, proposing these phases as potential indicators to differentiate between Dirac and Majorana neutrinos.

## Contribution

It introduces the idea that neutrino oscillation phases can serve as a novel probe to distinguish neutrino types based on their geometric and total phase differences.

## Key findings

- Phases depend on the representation of the mixing matrix.
- Phases differ between Dirac and Majorana neutrinos.
- Potential use of phases as a diagnostic tool.

## Abstract

We study the total and the geometric phase associated with neutrino mixing and we show that the phases produced by the neutrino oscillations have different values depending on the representation of the mixing matrix and on the neutrino nature. Therefore the phases represent a possible probe to distinguish between Dirac and Majorana neutrinos.