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Understanding galaxy formation and evolution requires studying the interplaybetween the growth of galaxies and the growth of their black holes acrosscosmic time. Here we explore a sample of Ha-selected star-forming galaxies fromthe HiZELS survey and use the wealth of multi-wavelength data in the COSMOSfield (X-rays, far-infrared and radio) to study the relative growth ratesbetween typical galaxies and their central supermassive black holes, fromz=2.23 to z=0. Typical star-forming galaxies at z~1-2 have black hole accretionrates (BHARs) of 0.001-0.01 Msun/yr and star formation rates (SFRs) of ~10-40Msun/yr, and thus grow their stellar mass much quicker than their black holemass (~3.3 orders of magnitude faster). However, ~3% of the sample (the sourcesdetected directly in the X-rays) show a significantly quicker growth of theblack hole mass (up to 1.5 orders of magnitude quicker growth than the typicalsources). BHARs fall from z=2.23 to z=0, with the decline resembling that ofstar formation rate density or the typical SFR. We find that the average blackhole to galaxy growth (BHAR/SFR) is approximately constant for star-forminggalaxies in the last 11 Gyrs. The relatively constant BHAR/SFR suggests thatthese two quantities evolve equivalently through cosmic time and withpractically no delay between the two.

The growth of typical star-forming galaxies and their super massive black holes across cosmic time since z~2