Abstract
The matter in our Universe comes in two flavors: dark and baryonic. Of these,
only the latter couples to photons, giving rise to the well-known baryon
acoustic oscillations (BAOs) and, in the process, generating supersonic
relative velocities between dark matter and baryons. These
velocities---imprinted with the acoustic scale in their genesis---impede the
formation of the first stars during cosmic dawn ($z20$), modulating the
expected 21-cm signal from this era. In a companion paper we showed, combining
numerical simulations and analytic models, that this modulation takes the form
of striking velocity-induced acoustic oscillations (VAOs), with a
well-understood shape that is frozen at recombination, and unaffected by the
unknown astrophysics of star formation. Here we propose using these VAOs as a
standard ruler at cosmic dawn. We find that three years of 21-cm power-spectrum
data from the upcoming HERA interferometer will be able to measure the Hubble
expansion rate $H(z)$ at $z=15-20$ to percent-level precision, ranging from
0.3\% to 11\% depending on the strength of astrophysical feedback processes and
foregrounds. This would provide a new handle on the expansion rate of our
Universe during an otherwise unprobed epoch, opening a window to the mysterious
cosmic-dawn era.
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