Title: Towards better understanding of galaxy-halo connection using DESI
Abstract: The Dark Energy Spectroscopic Instrument (DESI) survey presents a unique opportunity to investigate the nature of dark energy and the evolution of the universe, offering an abundance of data that can enhance our comprehension of both the galaxy-halo connection and cosmological parameters. In this talk, I will present the Halo Occupation Distribution (HOD) analysis of Luminous Red Galaxy (LRG), Quasi-Stellar Object (QSO) samples and Emission Line Galaxies (ELGs) derived from the One-Percent survey conducted by DESI. We scrutinize the HOD parameters as well as physical parameters such as the satellite fraction and mean halo mass of LRGs within a redshift range of 0.4<z<1.1 and detect clear trends of redshift evolution for these physical parameters. Additionally, we emphasize the significance of higher-order statistics, such as the projected three-point correlation function, for constraining the galaxy-halo connection. While two-point statistics have been extensively utilized, we demonstrate that the additional information provided by higher-order statistics enables us to glean more information on 1-halo scales and constrain the HOD parameters with greater precision. We adopt and generalize a swift HOD fitting pipeline to significantly reduce the required computation time for the three-point analysis.