Full forward model of galaxy clustering statistics with<scp>AbacusSummit</scp>light cones

ABSTRACT Novel summary statistics beyond the standard 2-point correlation function (2PCF) are necessary to capture full astrophysical and cosmological information from small-scale (r &amp;lt; 30h?1Mpc) galaxy clustering. However, analysis of beyond-2PCF on small scales is challenging because we lack appropriate treatment observational systematics for arbitrary field. In this paper, develop a forward modelling pipeline wide range using large high-fidelity AbacusSummit light cones that account many systematic effects as well remain flexible computationally efficient enable posterior sampling. We apply our model approach fully realistic mock catalog demonstrate can recover unbiased constraints underlying galaxy–halo connection two separate statistics: 2PCF novel k-th nearest neighbour (kNN) statistics, which sensitive functions all orders. will its strong constraining power extended models cosmology in follow up papers. expect become powerful when applying upcoming surveys such DESI where leverage multitude across redshift maximally extract non-linear scales.