BASS XXXI: Outflow scaling relations in low redshift X-ray AGN host
  galaxies with MUSE
  Ionised gas kinematics provide crucial evidence of the impact that active
galactic nuclei (AGN) have in regulating star formation in their host galaxies.
Although the presence of outflows in AGN host galaxies has been firmly
established, the calculation of outflow properties such as mass outflow rates
and kinetic energy remains challenging. We present the [OIII]5007 ionised gas
outflow properties of 22 z$<$0.1 X-ray AGN, derived from the BAT AGN
Spectroscopic Survey using MUSE/VLT. With an average spatial resolution of 1"
(0.1-1.2 kpc), the observations resolve the ionised gas clouds down to
sub-kiloparsec scales. Resolved maps show that the [OIII] velocity dispersion
is, on average, higher in regions ionised by the AGN, compared to star
formation. We calculate the instantaneous outflow rates in individual MUSE
spaxels by constructing resolved mass outflow rate maps, incorporating variable
outflow density and velocity. We compare the instantaneous values with
time-averaged outflow rates by placing mock fibres and slits on the MUSE
field-of-view, a method often used in the literature. The instantaneous outflow
rates (0.2-275 $M_{\odot}$ yr$^{-1}$) tend to be 2 orders of magnitude higher
than the time-averaged outflow rates (0.001-40 $M_{\odot}$ yr$^{-1}$). The
outflow rates correlate with the AGN bolometric luminosity ($L_{\rm bol}\sim$
10$^{42.71}$-10$^{45.62}$ erg/s) but we find no correlations with black hole
mass (10$^{6.1}$-10$^{8.9}$ M$_{\odot}$), Eddington ratio (0.002-1.1) and radio
luminosity (10$^{21}$-10$^{26}$ W/Hz). We find the median coupling between the
kinetic energy and $L_{\rm bol}$ to be 1%, consistent with the theoretical
predictions for an AGN-driven outflow.
