Herschel far-infrared photometry of the Swift Burst Alert Telescope
  active galactic nuclei sample of the local universe - III. Global
  star-forming properties and the lack of a connection to nuclear activity
  We combine the Herschel Space Observatory PACS and SPIRE photometry with
archival WISE photometry to construct the spectral energy distributions (SED)
for over 300 local ($z < 0.05$), ultra-hard X-ray (14 - 195 keV) selected
active galactic nuclei (AGN) from the Swift Burst Alert Telescope (BAT) 58
month catalogue. Using a simple analytical model that combines an exponentially
cut-off powerlaw with a single temperature modified blackbody, we decompose the
SEDs into a host-galaxy and AGN component. We calculate dust masses, dust
temperatures, and star-formation rates (SFR) for our entire sample and compare
them to a stellar mass-matched sample of local non-AGN galaxies. We find AGN
host galaxies have systematically higher dust masses, dust temperatures, and
SFRs due to the higher prevalence of late-type galaxies to host an AGN, in
agreement with previous studies of the Swift/BAT AGN. We provide a scaling to
convert X-ray luminosities into 8 - 1000 $\mu$m AGN luminosities, as well as
determine the best mid-to-far IR colors for identifying AGN dominated galaxies
in the IR regime. We find that for nearly 30 per cent of our sample, the 70
$\mu$m emission contains a significant contribution from the AGN ($> 0.5$),
especially at higher luminosities ($L_{14-195\,\rm{keV}} > 10^{42.5}$ ergs
s$^{-1}$). Finally, we measure the local SFR-AGN luminosity relationship,
finding a slope of 0.18, large scatter (0.37 dex), and no evidence for an
upturn at high AGN luminosity. We conclude with a discussion on the
implications of our results within the context of galaxy evolution with and
without AGN feedback.
