The Scatter Matters: Circumgalactic Metal Content in the Context of the $M-\sigma$ Relation

The interaction between supermassive black hole (SMBH) feedback and the circumgalactic medium (CGM) continues to be an open question in galaxy evolution. In our study, we use SPH simulations to explore the impact of SMBH feedback on galactic metal retention and the motion of metals and gas into and through the CGM of L$_{*}$ galaxies. We examine 140 galaxies from the 25 Mpc cosmological volume, Romulus25, with stellar masses between 3 $\times$ 10$^{9}$ - 3 $\times$ 10$^{11}$ M$_{\odot}$. We measure the fraction of metals remaining in the ISM and CGM of each galaxy, and calculate the expected mass of its SMBH based on the $M-\sigma$ relation. The deviation of each SMBH from its expected mass, $\Delta M_{BH}$ is compared to the potential of its host via $\sigma$. We find that SMBHs with accreted mass above the empirical $M-\sigma$ relation are about 15\% more effective at removing metals from the ISM than under-massive SMBHs in star forming galaxies. Over-massive SMBHs suppress the overall star formation of their host galaxies and more effectively move metals from the ISM into the CGM. However, we see little evidence for the evacuation of gas from their halos, in contrast with other simulations. Finally, we predict that C IV column densities in the CGM of L$_{*}$ galaxies may depend on host galaxy SMBH mass. Our results show that the scatter in the low mass end of $M-\sigma$ relation may indicate how effective a SMBH is at the local redistribution of mass in its host galaxy.