# Dark energy and neutrino model in SUSY -- Remarks on active and sterile neutrinos mixing --

## TL;DR

This paper explores a supersymmetric model where neutrino masses vary over time, influenced by dark energy and supersymmetry breaking, highlighting differences between active and sterile neutrino behaviors.

## Contribution

It introduces a supersymmetric Mass Varying Neutrinos model incorporating supersymmetry breaking effects and analyzes neutrino mass evolution and dark energy equation of state.

## Key findings

- Sterile neutrino mass varies with cosmological time when mixing is absent.
- Active neutrino mass becomes variable with finite mixing.
- The model links neutrino properties to dark energy dynamics.

## Abstract

We consider a Mass Varying Neutrinos (MaVaNs) model in supersymmetric theory. The model includes effects of supersymmetry breaking transmitted by the gravitational interaction from the hidden sector, in which supersymmetry was broken, to the dark energy sector. Then evolutions of the neutrino mass and the equation of state parameter of the dark energy are presented in the model. It is remarked that only the mass of a sterile neutrino is variable in the case of the vanishing mixing between the left-handed and a sterile neutrino on cosmological time scale. The finite mixing makes the mass of the left-handed neutrino variable.