The fundamental plane of black hole activity for low-luminosity radio active galactic nuclei across 0<z<4

Context. The fundamental plane of black hole activity describes the correlation between radio luminosity ( L R ), X-ray luminosity ( L X ), and black hole mass ( M BH ). It reflects a connection between the accretion disc and the jet. However, the dependence of the fundamental plane on various physical properties of active galactic nuclei (AGNs) and host galaxies remains unclear, especially for low-luminosity AGNs, which is important for understanding the accretion physics in AGNs. Aims. Here, we explore the dependence of the fundamental plane on the radio loudness, Eddington-ratio ( λ Edd ), redshift, and galaxy star formation properties (star-forming galaxies and quiescent galaxies) across 0.1 0.1.