  The bright emission from high-redshift quasars completely conceals their host
galaxies in the rest-frame UV/optical, with detection of the hosts in these
wavelengths eluding even the Hubble Space Telescope (HST) using detailed point
spread function (PSF) modelling techniques. In this study we produce mock
images of a sample of z~7 quasars extracted from the BlueTides simulation, and
apply Markov Chain Monte Carlo-based PSF modelling to determine the
detectability of their host galaxies with the James Webb Space Telescope
(JWST). While no statistically significant detections are made with HST, we
find that at the same wavelengths and exposure times JWST NIRCam imaging will
detect ~50% of quasar host galaxies. We investigate various observational
strategies, and find that NIRCam wide-band imaging in the long-wavelength
filters results in the highest fraction of successful quasar host detections,
detecting >80% of the hosts of bright quasars in exposure times of 5 ks.
Exposure times of ~5 ks are required to detect the majority of host galaxies in
the NIRCam wide-band filters, however even 10 ks exposures with MIRI result in
<30% successful host detections. We find no significant trends between galaxy
properties and their detectability. The PSF modelling underestimates the Sersic
magnitudes of the host galaxies due to residual flux from the quasar
contaminating the central core, which also results in a slight underestimation
of the Sersic radii and significant overestimation of the Sersic indices n.
Care should be made when interpreting the host properties measured using PSF
modelling.
