Implications of the $S_8$ tension for decaying dark matter with warm decay products

TL;DR

This paper proposes that decaying dark matter with specific properties can resolve the $S_8$ tension between weak lensing and CMB data by suppressing matter clustering, aligning multiple cosmological observations.

Contribution

It introduces a decaying dark matter model with particular decay parameters that can reconcile the $S_8$ discrepancy and fit various cosmological datasets.

Findings

Decaying dark matter reduces $\sigma_8$ to match weak lensing data.

The model is consistent with CMB, BAO, growth factor, and supernova data.

Future measurements can test the proposed decay scenario.

Abstract

Recent weak lensing surveys have revealed that the direct measurement of the parameter combination $S_8\equiv\sigma_8(\Omega_m/0.3)^{0.5}$ -- where $\sigma_8$ is a measure of the amplitude of matter fluctuations on 8 $h^{-1}$Mpc scales -- is $\sim3\sigma$ discrepant with the value reconstructed from cosmic microwave background (CMB) data assuming the $\Lambda$CDM model. In this article, we show that it is possible to resolve the tension if dark matter (DM) decays with a lifetime of $\Gamma^{-1} \simeq 55 \ \text{Gyrs}$ into one massless and one massive product, and transfers a fraction $\varepsilon\simeq 0.7 \ \%$ of its rest mass energy to the massless component. The velocity-kick received by the massive daughter leads to a suppression of gravitational clustering below its free-streaming length, thereby reducing the $\sigma_8$ value as compared to that inferred from the standard $\Lambda$CDM model, in a similar fashion to massive neutrino and standard warm DM. Contrarily to the latter scenarios, the time-dependence of the power suppression and the free-streaming scale allows the 2-body decaying DM scenario to accommodate CMB, baryon acoustic oscillation, growth factor and un-calibrated supernova Ia data. We briefly discuss implications for DM model building, galactic small-scale structure problems and the recent Xenon-1T excess. Future experiments measuring the growth factor to high accuracy at $0\lesssim z\lesssim1$ can further test this scenario.