Dark Matter Fraction in Disk-Like Galaxies Over the Past 10 Gyr

We present an observational study of the dark matter fraction in star-forming disk-like galaxies up to redshift $z \sim 2.5$, selected from publicly available integral field spectroscropic surveys, namely KMOS3D}, KGES, and KROSS. We provide novel observational evidence, showing that at a fixed redshift, the dark matter fraction gradually increases with radius, indicating that the outskirts of galaxies are dark matter dominated, similarly to local star-forming disk galaxies. This observed dark matter fraction exhibits a decreasing trend with increasing redshift. However, on average, the fraction within the effective radius (upto outskirts) remains above 50\%, similar to locals. Furthermore, we investigated the relationships between the dark matter, baryon surface density, and circular velocity of galaxies. We observe a decreasing trend in the dark matter fraction as baryon surface densities increase, which is consistent across all stellar masses, redshift ranges, and radii, with a scatter of 0.13 dex. On the other hand, the correlation between the circular velocity at the outermost radius and the dark matter fraction within this radius has a relatively low scatter (0.11 dex), but its slope varies with stellar mass and with redshift, providing observational evidence of the dynamical evolution of the interplay between the baryonic and dark matter distributions with cosmic time. We observe that low stellar mass galaxies ($\log(M_{\star}/\mathrm{M_\odot}) \leq 10.0$) undergo a higher degree of evolution, which may be attributed to the hierarchical merging of galaxies.