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We present the first comprehensive Halo Occupation Distribution (HOD)analysis of the DESI One-Percent survey Luminous Red Galaxy (LRG) andQuasi-Stellar Object (QSO) samples. We constrain the HOD of each sample andtest possible HOD extensions by fitting the redshift-space galaxy 2-pointcorrelation functions in 0.15 < r < 32 Mpc/h in a set of fiducial redshiftbins. We use AbacusSummit cubic boxes at Planck 2018 cosmology as modeltemplates and forward model galaxy clustering with the AbacusHOD package. Weachieve good fits with a standard HOD model with velocity bias, and we find noevidence for galaxy assembly bias or satellite profile modulation at thecurrent level of statistical uncertainty. For LRGs in 0.4 < z < 0.6, we infer asatellite fraction of fsat = 11+-1%, a mean halo mass of log10 Mh =13.40+0.02-0.02, and a linear bias of blin = 1.93+0.06-0.04. For LRGs in 0.6 <z < 0.8, we find fsat = 14+-1%, log10 Mh = 13.24+0.02-0.02, and blin =2.08+0.03-0.03. For QSOs, we infer fsat = 3+8-2%, log10 Mh = 12.65+0.09-0.04,and blin = 2.63+0.37-0.26 in redshift range 0.8 < z < 2.1. Using these fits, wegenerate a large suite of high-fidelity galaxy mocks. We also study theredshift-evolution of the DESI LRG sample from z = 0.4 up to z = 1.1, revealingsignificant and interesting trends in mean halo mass, linear bias, andsatellite fraction.

The DESI One-Percent Survey: Exploring the Halo Occupation Distribution of Luminous Red Galaxies and Quasi-Stellar Objects with AbacusSummit