Anisotropic correlation functions as tracers of central galaxy alignments in simulations

Motivated by observational results, we use hydrodynamical numerical simulations to study the alignment of the central galaxies in groups with the surrounding structures. This approach allows us to analyse galaxy and group properties not available in observations. To perform this analysis, we use a modified version of the two-point cross-correlation function and a measure of the angle between the semi-major axes of the central galaxies and the larger structures. Overall, our results reproduce observational ones, as we find large-scale anisotropy, which is dominated by the red central galaxies. In addition, the latter is noticeably more aligned with their group than the blue ones. In contrast to the observations, we find a strong dependence of the anisotropy on the central galaxy with mass, probably associated with the inability of observational methods to determine them. This result allows us to link the alignment to the process of halo assembly and the well-known dependence of halo anisotropy on mass. When we include dark matter particles in the analysis, it allows us to conclude that the alignment detected in both observations and simulations is the consequence of a sequence of alignments ranging from the central galaxy to the large-scale structure, probably as a consequence of a combination of different physical processes.