The black hole masses of extremely luminous radio-<i>WISE</i> selected galaxies

We present near-IR photometry and spectroscopy of 30 extremely luminous radio mid-IR selected galaxies. With bolometric luminosities exceeding $\sim10^{13}$ $\rm{L_{\odot}}$ redshifts ranging from $z = 0.880-2.853$, we use VLT instruments X-shooter ISAAC to investigate this unique population Broad multi-component emission lines are detected in 18 galaxies measure the $\rm{H\rm{\beta}}$, $\text{[OIII]}\rm{\lambda}\rm{\lambda}4959,5007$ $\rm{H\rm{\alpha}}$ six, 15 13 respectively, with 10 $\rm{Ly\alpha}$ five CIV additionally UVB arm. broad $\text{[OIII]}\rm{\lambda}5007$ as a proxy for AGN luminosity, derive lower limits supermassive black hole masses $10^{7.9}$-$10^{9.4}$ $\text{M}_{\odot}$ expectations corresponding host $10^{10.4}$-$10^{12.0}$ $\text{M}_{\odot}$. $\rm{\lambda}_{Edd}$ > 1 eight these sources at $2\sigma$ significance. Near-IR SED fitting used compare stellar directly. detect both Balmer infer mean visual extinction $A_{V}$ 2.68 mag. Due non-detections uncertainties our $\rm{H\rm{\beta}}$ line measurements, simulate FWHM 1480 $\rm{kms^{-1}}$ estimate all measured emission. then $A_{V}=3.62$ mag, demonstrating highly-obscured nature galaxies, consequence increasing estimates black-hole by an 0.5 orders magnitude most extreme obscured cases.