# Cosmological Constraints on Invisible Neutrino Decays Revisited

## TL;DR

This paper uses cosmological data, especially Planck observations, to set stringent bounds on the lifetime of invisible neutrino decays, showing that certain decay scenarios are disfavored or mildly preferred.

## Contribution

It provides updated cosmological constraints on neutrino decay lifetimes, demonstrating their robustness and exploring implications for supernova observations and polarization data.

## Key findings

- Neutrino decay lifetime > 10^{-3} s from Big Bang Nucleosynthesis
- Planck2018 data constrains lifetime > (1.3-0.3)×10^9 s for neutrinos
- High-ell polarization data mildly favors neutrino decay over stability

## Abstract

Invisible neutrino decay modes are difficult to target at laboratory experiments, and current bounds on such decays from solar neutrino and neutrino oscillation experiments are somewhat weak. It has been known for some time that Cosmology can serve as a powerful probe of invisible neutrino decays. In this work, we show that in order for Big Bang Nucleosynthesis to be successful, the invisible neutrino decay lifetime is bounded to be $\tau_\nu > 10^{-3}\,\text{s}$ at 95\% CL. We revisit Cosmic Microwave Background constraints on invisible neutrino decays, and by using Planck2018 observations we find the following bound on the neutrino lifetime: $\tau_\nu > (1.3-0.3)\times 10^{9}\,\text{s} \, \left({m_\nu}/{ 0.05\,\text{eV} }\right)^3$ at $95\%$ CL. We show that this bound is robust to modifications of the cosmological model, in particular that it is independent of the presence of dark radiation. We find that lifetimes relevant for Supernova observations ($\tau_\nu \sim 10^{5}\,\text{s}\, \left({m_\nu}/{ 0.05\,\text{eV} }\right)^3$) are disfavoured at more than $5\,\sigma$ with respect to $\Lambda$CDM given the latest Planck CMB observations. Finally, we show that when including high-$\ell$ Planck polarization data, neutrino lifetimes $\tau_\nu = (2-16)\times 10^{9}\,\text{s} \, \left({m_\nu}/{ 0.05\,\text{eV} }\right)^3$ are mildly preferred -- with a 1-2 $\sigma$ significance -- over neutrinos being stable.