MIGHTEE-HI: The radial acceleration relation with resolved stellar mass measurements

Abstract: The radial acceleration relation (RAR) is a fundamental relation linking baryonic and dark matter in galaxies by relating the observed acceleration derived from dynamics to the one estimated from the baryonic mass. This relation exhibits small scatter, thus providing key constraints for models of galaxy formation and evolution -- allowing us to map the distribution of dark matter in galaxies -- as well as models of modified dynamics. However, it has only been extensively studied in the very local Universe with largely heterogeneous samples. We present a new measurement of the RAR, utilising a homogeneous, unbiased sample of H{\sc i}-selected galaxies. We introduce a novel approach of measuring resolved stellar masses using spectral energy distribution (SED) fitting across 10 photometric bands to determine the resolved mass-to-light ratio, which we show is essential for measuring the acceleration due to baryons in the low-acceleration regime. We find that the stellar mass-to-light ratio varies across galaxies and radially, favouring lower mass-to-light ratios compared to previous studies. Our results reveal a tight RAR with a low-acceleration power-law slope of $\sim 0.5$, consistent with previous studies. Adopting a spatially varying mass-to-light ratio yields the tightest RAR with an intrinsic scatter of only $0.045 \pm 0.022$ dex. We also find the first tentative evidence for redshift evolution in the acceleration scale, but more data will be required to confirm this. These results highlight the importance of resolved stellar mass measurements in accurately characterizing the gravitational contribution of the baryons in low-mass, gas-rich galaxies.