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We study the relation of AGN accretion, star formation rate (SFR), andstellar mass (M$_*$) using a sample of $\approx$ 8600 star-forming galaxies upto z=2.5 selected with \textit{Herschel} imaging in the GOODS and COSMOSfields. For each of them we derive SFR and M$_*$, both corrected, whennecessary, for emission from an active galactic nucleus (AGN), through thedecomposition of their spectral energy distributions (SEDs). About 10 per centof the sample are detected individually in \textit{Chandra} observations of thefields. For the rest of the sample we stack the X-ray maps to get average X-rayproperties. After subtracting the X-ray luminosity expected from star formationand correcting for nuclear obscuration, we derive the average AGN accretionrate for both detected sources and stacks, as a function of M$_{*}$, SFR andredshift. The average accretion rate correlates with SFR and with M$_*$. Thedependence on SFR becomes progressively more significant at z$>$0.8. This maysuggest that SFR is the original driver of these correlations. We find thataverage AGN accretion and star formation increase in a similar fashion withoffset from the star-forming "main-sequence". Our interpretation is thataccretion onto the central black hole and star formation broadly trace eachother, irrespective of whether the galaxy is evolving steadily on themain-sequence or bursting.

Mapping the average AGN accretion rate in the SFR-M* plane for Herschel selected galaxies at 0