A Mock Redshift Catalogue of the Dusty Star-Forming Galaxy Population with Intrinsic Clustering and Lensing for Deep Millimetre Surveys

We present a new cosmologically motivated mock redshift survey of the DustyStar-Forming Galaxy population. Our mock survey is based on the Bolshoi-Planckdark-matter halo simulation and covers an area of 5.3 sq. degree. Using asemi-empirical approach, we generate a light cone and populate the dark-matterhaloes with galaxies. Infrared properties are assigned to the galaxies based ontheoretical and empirical relations from the literature. Additionally,background galaxies are gravitationally lensed by dark-matter haloes along theline-of-sight assuming a point-mass model approximation. We characterize themock survey by measuring the star formation rate density, integrated numbercounts, redshift distribution, and infrared luminosity function. When comparedwith single-dish and interferometric observations, the predictions from ourmock survey closely follow the compiled results from the literature. We havealso directed this study towards characterizing one of the extragalactic legacysurveys to be observed with the TolTEC camera at the Large MillimeterTelescope: the 0.8 sq. degree Ultra Deep Survey, with expected depths of 0.025,0.018 and 0.012 mJy beam^-1 at 1.1, 1.4 and 2.0 mm. Exploiting theclustering information in our mock survey, we investigate its impact on theeffect of flux boosting by the fainter population of dusty galaxies, findingthat clustering can increase the median boosting by 0.5 per cent at 1.1 mm, 0.8per cent at 1.4 mm and, 2.0 per cent at 2.0 mm, and with higher dispersion.