Cosmic Evolution of Black Holes and Spheroids. V. The Relation Between Black Hole Mass and Host Galaxy Luminosity for a Sample of 79 Active Galaxies

TL;DR

This study examines how the relationship between black hole mass and host galaxy luminosity evolves over cosmic time, suggesting black holes grow faster than their host bulges, with implications for galaxy evolution models.

Contribution

It provides new measurements of the black hole mass–bulge luminosity relation at intermediate redshifts using consistent spectral and imaging analysis methods, extending previous work.

Findings

Black hole mass to bulge luminosity ratio increases with redshift.

Black hole growth precedes host galaxy bulge growth.

Results support bulge growth via minor mergers and disk instabilities.

Abstract

We investigate the cosmic evolution of the black hole (BH) mass -- bulge luminosity relation using a sample of 52 active galaxies at $z \sim 0.36$ and $z \sim 0.57$ in the BH mass range of $10^{7.4-9.1} M_{\odot}$. By consistently applying multi-component spectral and structural decomposition to high-quality Keck spectra and high-resolution HST images, BH masses ($M_{\rm BH}$) are estimated using the H$\beta$ broad emission line combined with the 5100 \AA\ nuclear luminosity, and bulge luminosities ($L_{\rm bul}$) are derived from surface photometry. Comparing the resulting $M_{\rm BH}-L_{\rm bul}$ relation to local active galaxies and taking into account selection effects, we find evolution of the form $M_{\rm BH} / L_{\rm bul} \propto (1+z)^{\gamma}$ with $\gamma=1.8\pm0.7$, consistent with BH growth preceding that of the host galaxies. Including an additional sample of 27 active galaxies with $0.5<z<1.9$ taken from the literature and measured in a consistent way, we obtain $\gamma=0.9\pm0.7$ for the $M_{\rm BH}-L_{\rm bul}$ relation and $\gamma=0.4\pm0.5$ for the $M_{\rm BH}$--total host galaxy luminosity ($L_{\rm host}$) relation. The results strengthen the findings from our previous studies and provide additional evidence for host-galaxy bulge growth being dominated by disk-to-bulge transformation via minor mergers and/or disk instabilities.