  This study involves a comparative analysis of the SFRs of AGN and non-AGN
galaxies and of the SFRs of type 1 and 2 AGN. To carry out this investigation,
we assembled a dataset consisting of 2\,677 X-ray AGN detected by the
XMM-Newton observatory and a control sample of 64\,556 galaxies devoid of AGN.
We generated SEDs for these objects using photometric data from the DES, VHS,
and AllWISE surveys, and we harnessed the CIGALE code to extract measurements
for the (host) galaxy properties. Our dataset encompasses sources spanning a
range from $\rm 9.5<\log\,[M_*(M_\odot)]<12.0$, $\rm
42<\log\,[L_{X,2-10keV}(ergs^{-1})]<45.5$, and $\rm 0.3<z<2.5$. To compare
SFRs, we calculated the SFR$_{norm}$ parameter. Our analysis revealed that AGN
tend to exhibit elevated SFRs compared to non-AGN galaxies, particularly beyond
a certain threshold in L$_X$. Notably, this threshold increases as we move
towards more massive galaxies. Additionally, for AGN systems with the same
L$_X$, the magnitude of the SFR$_{norm}$ decreases as we consider more massive
galaxies. This suggests that in galaxies with AGN, the increase in SFR as a
function of M$_*$ is not as prominent as in galaxies without AGN. This
interpretation finds support in the shallower slope we identify in the X-ray
star-forming MS in contrast to the galaxy MS. Employing CIGALE's measurements,
we classified AGN into type 1 and type 2. In our investigation, we focused on a
subset of 652 type 1 AGN and 293 type 2 AGN with $\rm
10.5<\log,[M_(M_\odot)]<11.5$. Based on our results, type 1 AGN display higher
SFRs than type 2 AGN, at redshifts below $\rm z<1$. However, at higher
redshifts, the SFRs of the two AGN populations tend to be similar. At redshifts
$\rm z<1$, type 1 AGN show augmented SFRs in comparison to non-AGN galaxies. In
contrast, type 2 AGN exhibit lower SFRs when compared to galaxies that do not
host an AGN.
