Connection between galaxy morphology and dark-matter halo structure I: a running threshold for thin discs and size predictors from the dark sector

We present a series of studies on the connection between galaxy morphology and the structure of host dark-matter (DM) haloes using cosmological simulations. In this work, we introduce a new kinematic decomposition scheme that features physical identification of morphological components, enabling robust separation of thin and thick discs; and measure a wide range of halo properties, including their locations in the cosmic web, internal structures, and assembly histories. Our analysis of the TNG50 simulation reveals that the orbital-circularity threshold for disc differentiation varies across galaxies, with systematic trends in mass and redshift, so the widely used decomposition method with constant circularity cuts is oversimplified and underestimates thin disc at JWST redshifts. The energy threshold between the stellar halo and the inner galaxy is also a function of mass and redshift, minimizing at the sub-Galactic halo mass, where the circularity threshold peaks. Revisiting the issue of galaxy size predictor, we show that disc sizes in TNG50 exhibit correlations with three structural parameters besides virial mass and redshift: 1) a positive correlation with halo spin $\lambda$ across redshifts -- stronger than previously reported for zoom-in simulations but still weaker than the simple $r_{1/2}/R_{\rm vir} \propto \lambda$ scaling; 2) an anti-correlation with DM concentration $c$ that is well described by $r_{1/2}/R_{\rm vir} \propto c^{-0.7}$ even when $c$ is measured in the DM only run; 3) more actively accreting haloes having slightly larger discs, as well as more significant stellar haloes and lower thin-to-thick ratio. Disc mass fraction is higher in rounder haloes and in cosmic knots and filaments, implying that disc development needs both stable halo conditions and continuous material supply. Our methodology is public and adaptable to other simulations.
Comment: 20 pages, 17 figures, submitted to MNRAS