Back to Normal Again: Possible Destinies of JWST overmassive SMBHs and "Little Red Dots" in the View of Shin-Uchuu Simulation

The James Webb Space Telescope (JWST) has enabled the discovery of hundreds of supermassive black holes (SMBHs) at redshifts $z\gtrsim 4-7$. A non-negligible fraction of these SMBHs are hosted in galaxies with BH-to-galaxy mass ratios ($M_{\mathrm{B}\mathrm{H}}\mathrm{/}{M}_{\star }$) being excessively larger than that for local SMBHs by $\sim 1-2$ dex. The origin of these overmassive'' BHs remains elusive, demanding either a heavy seed formation scenario or rapid growth of seed BHs. Their deviation from local scaling relations challenges our understanding of how SMBHs and their host galaxies coevolve across cosmic time. In this paper, we apply phenomenological modelings for BHs and galaxies to dark matter halo merger histories from N-body simulations to investigate the subsequent evolution of JWST-discovered overmassive’’ SMBHs. We find that early evolution of ``overmassive’’ SMBHs is dominated by stunted accretion leading to gradual decreases in $M_{\mathrm{B}\mathrm{H}}\mathrm{/}{M}_{\star }$ ratios. In contrast, less massive SMBHs experience super-Eddington accretion during their early evolution, resulting in a slow increase of mass ratios toward $M_{\mathrm{B}\mathrm{H}}\mathrm{/}{M}_{\star }\sim 0.01$. Convergence occurs at $M_{\mathrm{B}\mathrm{H}}\sim {10}^8{M}_{\odot }$ with $M_{\mathrm{B}\mathrm{H}}\mathrm{/}{M}_{\star }\sim 0.01$. At lower redshift, nearly all SMBHs evolve onto local relations, as expected given that our models adopt empirical relations derived from low-redshift observations. This suggests that the global feedback mechanisms regulating the coevolution of $M_{\mathrm{B}\mathrm{H}}\mathrm{/}{M}_{\star }$ ratios are implicitly encoded in local relations in terms of star-formation rate distribution, black hole accretion rate distribution and their active (quiescent) fractions.