  We report Herschel Spitzer and Wise observations of 44 z=4.8 optically
selected active galactic nuclei (AGNs). This sample contains the highest mass
black holes (BHs) at this redshift. Ten of the objects were detected by
Herschel and five show emission that is not associated with the AGNs. The star
formation (SF) luminosity (LSF) obtained by fitting the spectral energy
distribution (SED) with standard SF templates is in the range 10^(46.62-47.21)
erg/s corresponding to SF rates of 1090-4240 Msun/yr. Fitting with luminous
submillimeter galaxy SEDs gives SF rates that are smaller by 0.05 dex when
using all bands and 0.1 dex when ignoring the 250-mic band. A 40K gray-body
fits to only the 500-mic fluxes reduce LSF by about a factor two. Stacking
analysis of 29 undetected sources give significant signals in all three bands.
A SF template fit indicates LSF=10^(46.19-46.23) erg/s depending on the assume
AGN contribution. A 40K fit to the stacked 500-mic flux gives LSF=10^(45.95)
erg/s. The mean BH mass (mbh) and AGN luminosity (LAGN) of the detected sources
are significantly higher than those of the undetected ones. The spectral
differences are seen all the way from UV to far infrared wavelengths. The mean
optical-UV spectra are similar to the ones predicted for thin accretion disks
around BHs with the measured masses and accretion rates. We suggest two
alternative explanations to the correlation of LSF, LAGN and mbh, one involving
no AGN feedback and the second a moderate feedback that affects, but not
totally quench SF in 3/4 of the sources. We compare our LSF and LAGN to lower
redshift samples and show a new correlation between LSF and mbh. We also
examine several rather speculative ideas about the host galaxy properties
including the possibility that the detected sources are above the SF mass
sequence (MS) at z=4.8, perhaps in mergers, and most of the undetected sources
are on the MS.
