HIR4: Cosmological signatures imprinted on the cross correlation between 21cm map and galaxy clustering

2020 
We explore the cosmological multi-tracer synergies between a DESI-like Emission Line Galaxy (ELG) distribution and a Tianlai-like 21cm intensity map. We use simulated maps generated from a particle simulation in the light-cone volume (Horizon Run 4), sky-trimmed and including the effects of foreground contamination, its removal, and instrument noise. We first validate how the foreground residual affects the recovered 21cm signal by putting different levels of foreground contamination into the 21cm maps. We find that the contamination cannot be ignored in the angular auto-power spectra of HI even when it is small, but has no influence on the accuracy of the angular cross-power spectra between HI and galaxies. In the foreground-cleaned map case, as information is lost in the cleaning procedure, there is also a bias in the cross-power spectrum. However, we found that the bias from the cross-power spectrum is scale-independent, which is easily parameterised as part of the model, while the offset in the HI auto-power spectrum is non-linear. In particular, we tested that the cross power also benefits from the cancellation of the bias in the power spectrum measurement that is induced by the instrument noise, which changes the shape of the auto-power spectra but leaves the cross-power unaffected. We then modelled the angular cross-power spectra to fit the BAO feature in broadband shape of the angular cross power spectrum, including contamination from the residual foreground and the effect of instrument noise. We forecast a constraint on the angular diameter distance $D_\mathrm{A}$ for the Tianlai Pathfinder redshift $0.775
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