# Neutrino flavor oscillations in stochastic gravitational waves

## TL;DR

This paper investigates how stochastic gravitational waves influence neutrino flavor oscillations, providing analytical and numerical solutions for flux ratios at detectors, and compares predictions with astrophysical neutrino observations.

## Contribution

It introduces a novel analytical and numerical framework for neutrino oscillations in stochastic gravitational wave backgrounds, including three-flavor scenarios.

## Key findings

- Predicted flavor flux ratios at detectors due to GW interactions.
- Analytical solutions for two-flavor neutrino oscillations.
- Numerical solutions for three-flavor neutrino oscillations.

## Abstract

We study neutrino flavor oscillations in a plane gravitational wave (GW) with circular polarization. For this purpose we use the solution of the Hamilton-Jacobi equation to get the contribution of GW to the effective Hamiltonian for the neutrino mass eigenstates. Then, considering stochastic GWs, we derive the equation for the density matrix for flavor neutrinos and analytically solve it in the two flavors approximation. The equation for the density matrix for the three neutrino flavors is also derived and solved numerically. In both cases of two and three neutrino flavors, we predict the ratios of fluxes of different flavors at a detector for cosmic neutrinos with relatively low energies owing to the interaction with such a GW background. The obtained results are compared with the recent observation of the flavor content of the astrophysical neutrino fluxes.