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The intensity mapping of the [CII] 158um line redshifted to the sub-mm windowis a promising probe of the z>4 star formation and its spatial distributioninto the large-scale structure. To prepare the first-generation experiments(e.g., CONCERTO), we need realistic simulations of the sub-mm extragalactic skyin spectroscopy. We present a new version of the SIDES simulation including themain sub-mm lines around 1mm (CO, [CII], [CI]). This approach successfullyreproduces the observed line luminosity functions. We then use our simulationto generate CONCERTO-like cubes (125-305GHz) and forecast the power spectra ofthe fluctuations caused by the various astrophysical components at thosefrequencies. Depending on our assumptions on the relation between starformation rate and [CII] luminosity, and the star formation history, ourpredictions of the z~6 [CII] power spectrum vary by two orders of magnitude.This highlights how uncertain the predictions are and how important futuremeasurements will be to improve our understanding of this early epoch. SIDEScan reproduce the CO shot noise recently measured at ~100 GHz by the mmIMEexperiment. Finally, we compare the contribution of the different astrophysicalcomponents at various redshift to the power spectra. The continuum is by farthe brightest, by a factor of 3 to 100 depending on the frequency. At 300GHz,the CO foreground power spectrum is higher than the [CII] one for our basescenario. At lower frequency, the contrast between [CII] and extragalacticforegrounds is even worse. Masking the known galaxies from deep surveys shouldallow to reduce the foregrounds to 20% of the [CII] power spectrum up to z~6.5.However, this masking method will not be sufficient at higher redshifts. Thecode and the products of our simulation are released publicly and can be usedfor both intensity mapping experiments and sub-mm continuum and line surveys.

CONCERTO: High-fidelity simulation of millimeter line emissions of galaxies and [CII] intensity mapping