BASILISK II. Improved Constraints on the Galaxy-Halo Connection from Satellite Kinematics in SDSS
Kaustav Mitra (1), Frank C. van den Bosch (1), Johannes U. Lange, (2,3,4) ((1) Yale University, (2) American University, (3) Dept. of Physics, at U. Michigan, (4) Leinweber Center at U. Michigan)

TL;DR
Basilisk II is an advanced Bayesian method that improves constraints on the galaxy-halo connection by incorporating detailed satellite kinematics, leading to more precise and unbiased inferences about galaxy and halo properties from SDSS data.
Contribution
The paper introduces key improvements to Basilisk, including better impurity modeling and higher-order velocity distribution analysis, significantly enhancing its accuracy and precision.
Findings
Unbiased recovery of the full luminosity function.
Tighter constraints on galaxy-halo connection compared to previous methods.
Satellite orbits are mildly radially anisotropic, consistent with simulations.
Abstract
Basilisk is a novel Bayesian hierarchical method for inferring the galaxy-halo connection, including its scatter, using the kinematics of satellite galaxies extracted from a redshift survey. In this paper, we introduce crucial improvements, such as updated central and satellite selection, advanced modelling of impurities and interlopers, extending the kinematic modelling to fourth order by including the kurtosis of the line-of-sight velocity distribution, and utilizing satellite abundance as additional constraint. This drastically enhances Basilisk's performance, resulting in an unbiased recovery of the full conditional luminosity function (central and satellite) and with unprecedented precision. After validating Basilisk's performance using realistic mock data, we apply it to the SDSS-DR7 data. The resulting inferences on the galaxy-halo connection are consistent with, but…
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