Atomic dark matter is a simple but highly theoretically motivated possibility for an interacting dark sector that could constitute some or all of dark matter. We perform a comprehensive study of precision cosmological observables on minimal atomic dark matter, exploring for the first time the full parameter space of dark QED coupling and dark electron and proton masses $(\alpha_{D}, m_{e_{D}}, m_{p_{D}})$ as well as the two cosmological parameters of aDM mass fraction $f_{D}$ and temperature ratio $\xi$ at time of SM recombination. We also show how aDM can accommodate the $(H_0, S_8)$ tension from late-time measurements, leading to a better fit than $\Lambda$CDM or $\Lambda$CDM + dark radiation. Furthermore, including late-time measurements leads to closed contours of preferred $\xi$ and dark hydrogen binding energy. The dark proton mass is seemingly unconstrained. Our results serve as an important new jumping-off point for future precision studies of atomic dark matter at non-linear and smaller scales.
Comment: 29 pages + references, 2 tables, 13 figures v2: Significant improvements and further performed checks for public CLASS-aDM code to increase reliability across aDM parameter space. Reran all scans, used newer KiDS-1000 measurement of S_8, no significant change to main results or conclusions, but added plot showing preferred DeltaNeff and dark binding energy