| Abstract : | The study of diverse source populations at various redshifts is probed with the help of deep radio observations. The synchrotron emissions from the faint radio sources come from the powerful jets in active galactic nuclei (AGN) and from the star-forming regions in the disk galaxies. We study the ELAIS-N1 field using wideband uGMRT observations centered at 150 MHz, 400 MHz and 1.4 GHz with. We perform multi-wavelength diagnostics for classifying the sources in SFGs and AGN to study one of the tightest relations in astrophysics, i.e., the radio-IR relations up to z~2. We obtained the rest-frame flux values by k-correcting the observed data in both the wavebands. We also study the variation of monochromatic q parameters with redshift at 24 and 70 um and also of the bolometric qTIR integrated between 8 and 1000 um. We find the q24 values to increase with z induced by an increase in dust temperature. The q70 and qTIR values remain mainly unaffected by fluctuation in dust temperature and show a mild decrease with z. A tight correlation is observed between radio luminosity at 1.4 GHz and the total infrared luminosity having super-linear slopes and less scatter for SFGs. We also for the first time study the correlation between both the bolometric radio (0.1-2 GHz) and IR luminosities. We measure significant non-linear slopes for all the radio-infrared relations highlighting the ambiguity in using q parameters to study the radio-IR relations. Further, we aim to derive the radio luminosity function and study its evolution with redshift for SFGs and compare it to theoretical model predictions. |
