A new method to obtain the Broad Line Region size of high redshift quasars

We present high S/N UV spectra for eight quasars at z $\sim$ 3 obtained with VLT/FORS. The spectra enable us to analyze in detail the strong and weak emission features in the rest-frame range 1300-2000 A of each source (Ciii]$\lambda$1909, Siiii]$\lambda$1892, Aliii$\lambda$1860, Siii$\lambda$1814, Civ$\lambda$1549 and blended Siiv$\lambda$1397+Oiv]$\lambda$1402). Flux ratios Aliii$\lambda$1860/Siiii]$\lambda$1892, Civ$\lambda$1549/Aliii$\lambda$1860, Siiv$\lambda$1397+Oiv]$\lambda$1402/Siiii]$\lambda$1892 and Siiv$\lambda$1397+Oiv]$\lambda$1402/Civ$\lambda$1549 strongly constrain ionizing photon flux and metallicity through the use of diagnostic maps built from CLOUDY simulations. The radius of the broad line region is then derived from the ionizing photon flux applying the definition of the ionization parameter. The rBLR estimate and the width of a virial component isolated in prominent UV lines yields an estimate of black hole mass. We compare our results with previous estimates obtained from the rBLR - luminosity correlation customarily employed to estimate black hole masses of high redshift quasars.