The fundamental plane of black hole activity for low-luminosity radio active galactic nuclei across 1 < z < 4

Abstract

The fundamental plane of black hole activity (BHFP) describes the correlation between radio luminosity ($L_R$), X-ray luminosity ($L_X$), and black hole mass. It reflects a disc-jet connection. However, dependence of BHFP on various physical properties of active galactic nuclei (AGNs) and host galaxies is unclear, especially for low-luminosity AGNs, which is important for understanding accretion physics in AGNs. Here we explore the dependence of BHFP on radio loudness, Eddington ratio ($\lambda_E$), redshift, and galaxy star formation properties at 0.1 < z < 4 for radio AGNs. Based on current deep and large surveys, our studies extend to low luminosities and high redshifts. From GOODS and COSMOS fields, we constructed a homogeneous radio AGN sample including 208 objects. We divided the radio AGN sample into 141 radio-quiet (RQ) AGNs and 67 radio-loud (RL) AGNs according to the radio loudness defined by the $L_R$-to-$L_X$ ratio. This ratio shows a bimodal distribution that is well described by two Gaussian models. Their cross point corresponds to a radio loudness threshold of $\log (L_R/L_X) = -2.73$. RQ and RL AGNs show different BHFPs, indicating a dependence of BHFP on the radio loudness. For both RQ and RL AGNs, BHFP shows a dependence on $\lambda_E$, but no dependence on redshift. BHFP shows a dependence on the galaxy star formation properties for RQ AGNs, while for RL AGNs this dependence disappears. BHFP sheds important light on the accretion physics and X-ray emission origins. X-ray emission of RQ AGNs originates from a combination of advection-dominated accretion flow (ADAF) and synchrotron radiation from jet at $0.01 < \lambda_E < 0.1$, and from jet at $0.1 < \lambda_E < 1$. X-ray emission in RL AGNs originates from a combination of ADAF and jet at $\lambda_E < 0.01$, from jet at $0.01 < \lambda_E < 0.1$, and from a combination of standard thin disc and jet at $\lambda_E > 0.1$.