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Exploring how radio-emitting active galactic nuclei (AGN) behave and evolvewith time is critical for understanding how AGN feedback impacts galaxyevolution. In this work, we investigate the relationship between 1.4 GHz radiocontinuum AGN luminosity ($L^{\rm AGN}_{\rm 1.4}$), specific black holeaccretion rate (s-BHAR, defined as the accretion luminosity relative to thegalaxy stellar mass) and redshift, for a luminosity-complete sample ofradio-selected AGN in the VLA COSMOS 3 GHz Large Project. The sample wasoriginally selected from radio-continuum observations at 3 GHz, and includesabout 1800 radio AGN identified via ($>2\sigma$) radio-excess relative to theinfrared-radio correlation of star-forming galaxies. We further select asubsample of over 1200 radio AGN that is complete in $L^{\rm AGN}_{\rm 1.4}$over different redshift ranges, out to z~4, and use X-ray stacking to calculatethe average s-BHAR in each $L^{\rm AGN}_{\rm 1.4}$-$z$ bin. We find that theaverage s-BHAR is independent of $L^{\rm AGN}_{\rm 1.4}$, at all redshifts.However, we see a strong increase of s-BHAR with redshift, at fixed $L^{\rmAGN}_{\rm 1.4}$. This trend resembles the strong increase in the fraction ofstar-forming host galaxies (based on the $(NUV-r)$ / $(r-J)$ colours) withredshift, at fixed $L^{\rm AGN}_{\rm 1.4}$. A possible explanation for thissimilarity might imply a link between average AGN radiative power andavailability of cold gas supply within the host galaxy. This study corroboratesthe idea that radio-selected AGN become more radiatively efficient towardsearlier epochs, independently of their radio power.

SMBH accretion properties of radio-selected AGN out to z~4