# Wandering in the Lyman-alpha Forest: A Study of Dark Matter-Dark Radiation Interactions

## TL;DR

This study investigates whether dark matter interactions with dark radiation can resolve discrepancies in large-scale structure measurements, finding that current Lyman-alpha data do not support such interactions and that future surveys will significantly improve constraints.

## Contribution

The paper assesses the impact of dark matter-dark radiation interactions on cosmological data, showing current Lyman-alpha measurements do not favor these interactions and forecasting future constraints.

## Key findings

- Lyman-alpha data do not support dark matter-dark radiation interactions.
- Adding Lyman-alpha data reduces the fit improvement for the interaction model.
- Future surveys will improve constraints on dark radiation by an order of magnitude.

## Abstract

The amplitude of large-scale matter fluctuations inferred from the observed Sunyaev-Zeldovich (SZ) cluster mass function and from weak gravitational lensing studies, when taken at face value, is in tension with measurements of the cosmic microwave background (CMB) and baryon acoustic oscillation (BAO). In this work, we revisit whether this possible discrepancy can be attributed to new interactions in the dark matter sector. Focusing on a cosmological model where dark matter interacts with a dark radiation species until the epoch of matter-radiation equality, we find that measurements of the Lyman-alpha flux power spectrum from the Sloan Digital Sky Survey provides no support to the hypothesis that new dark matter interactions can resolve the possible tension between CMB and large-scale structure (LSS). Indeed, while the addition of dark matter-dark radiation interactions leads to an improvement of $2\Delta\ln\mathcal{L}=12$ with respect to the standard $\Lambda$ cold dark matter ($\Lambda$CDM) model when only CMB, BAO, and LSS data are considered, the inclusion of Lyman-alpha data reduces the improvement of the fit to $2\Delta\ln\mathcal{L}=6$ relative to $\Lambda$CDM. We thus conclude that the statistical evidence for new dark matter interactions (largely driven by the Planck SZ dataset) is marginal at best, and likely caused by systematics in the data. We also perform a Fisher forecast analysis for the reach of a future dataset composed of a CMB-S4 experiment combined with the Large Synoptic Survey Telescope galaxy survey. We find that the constraint on the effective number of fluid-like dark radiation species, $\Delta N_{\rm fluid}$, will be improved by an order of magnitude compared to current bounds.