SFR_norm values in bins of L_X and stellar mass in the COSMOS field complemented with those found in the Boötes field (Mountrichas et al. 2021a). We only present stellar mass intervals that are similar in the two studies. The small differences in the stellar mass bins are due to the different stellar mass completeness limits of the two surveys. Top panel: in the 10.5 < log [M_*(M_⊙)] < 11.0 regime, both X-ray AGN in COSMOS and in Boötes, at high luminosities present enhanced SFR_norm compared to SFR_norm at lower luminosities. The results in the Boötes field (blue circles) include only sources at 0.5 < z < 1.0 and appear higher compared to those in COSMOS (black circles). Open circles present the results in COSMOS for AGN with 0.5 < z < 1.0 (open circles). The measurements are in statistical agreement with those at all redshifts (filled circles), but appear higher and in better agreement with those in Boötes in overlapping L_X. Middle panel: results for AGN that live in galaxies with 11.0 < log [M_*(M_⊙)] < 11.5. The results in the two fields are in agreement. Most importantly, both present a similar increase in SFR_norm at L_{X, 2 − 10 keV} > 10⁴⁴ erg s⁻¹. Bottom panel: measurements for AGN in the 11.5 < log [M_*(M_⊙)] < 12.0 regime for both fields. In this case, we do not detect enhanced SFR_norm at high luminosities.