Mapping the galaxy-halo connection to the galaxy bias: implication to the HOD-informed prior

Understand

The galaxy bias parameters are crucial for modeling the large-scale structure in cosmology, yet uncertainties in these parameters often degrade the precision of cosmological constraints.

• In this work, we investigate how different Halo Occupation Distribution (HOD) models impact the priors of the galaxy bias parameters, particularly focusing on quadratic bias parameters.
• We generate galaxy mock catalogs using various HOD models, including a standard model and one incorporating halo concentration dependence to account for assembly bias, and measure the galaxy bias parameters with high precision using the quadratic field method.
• We show that the inclusion of assembly bias associated to halo concentration could significantly impact the distributions of quadratic galaxy bias parameters, especially $b_2$.