Radio and millimeter observations of z~2 luminous QSOs
  We present Very Large Array observations at 1.4 and 5 GHz of a sample of 16 quasi-stellar objects (QSOs) at z = 1.78 to 2.71. Half of the chosen quasars are bright at mm wavelengths (250 or 350 GHz) while the other half were not detected at mm wavelengths; the former QSOs were detected at 1.4 GHz, in most cases at high significance (S/N > ~7), but only three of the latter sources were detected at radio frequencies, and only at lower significance (S/N ~ 3). The data are consistent with a correlation between the mm and radio fluxes indicating a physical connection between the mechanisms responsible for the radio and mm emission. However, this conclusion is based on data which includes many upper limits, and deeper observations are clearly needed to verify this correlation.   All eight mm detected QSOs are detected in the radio continuum, with radio flux densities consistent with the radio-to-FIR correlation for low z star forming galaxies. However, four of these have flatter spectral indices than is typical for star forming galaxies (i.e. greater than -0.5) suggesting that radiation from the central AGN dominates the observed radio emission. All the sources detected at 1.4 GHz are spatially unresolved, with the size limits typically < 1'' = 6 kpc. High star formation rate galaxies at low redshift are typically nuclear starbursts, with sizes < 1 kpc. Hence, the current radio size limits are insufficient to constrain the emission model (AGN or starburst). 
A. Petric, C. L. Carilli, F. Bertoldi, A. Beelen, P. Cox, A. Omont