We utilise theoretical models of Population III stellar+nebular spectra to
investigate the prospects of observing and accurately identifying Population
III galaxies with JWST using both deep imaging and spectroscopy. We investigate
a series of different colour cuts, finding that a combination of NIRCam and
MIRI photometry through the F444W-F560W, F560W-F770W colours offers the most
robust identifier of potential z=8 Pop III candidates. We calculate that
NIRCam will have to reach ∼28.5-30.0 AB mag depths (1-20 h), and MIRI
F560W must reach ∼27.5-29.0 AB mag depths (10-100 h) to achieve 5σ
continuum detections of M∗​=106 M⊙​ Pop III galaxies at
z=8. We also discuss the prospects of identifying Pop III candidates through
slitless and NIRSpec spectroscopic surveys that target Lyα, Hβ
and/or He II λ1640. We find small differences in the Hβ
rest-frame equivalent width (EW) between Pop III and non-Pop III galaxies,
rendering this diagnostic likely impractical. Instead, we find that the
detection of high EW He II λ1640 emission will serve as the definitive
Pop III identifier, requiring (ultra-)deep integrations (10-250 h) with
NIRSpec/G140M for M∗​=106 M⊙​ Pop III galaxies at z=8.
However, MIRI F770W detections of Pop III galaxies will require substantial
gravitational lensing (μ=10) and/or fortuitous imaging of exceptionally
massive (M∗​=107 M⊙​) Pop III galaxies. Thus, NIRCam
medium-band imaging surveys that can search for high EW He II λ1640
emitters in photometry may perhaps be a viable alternative for finding Pop III
candidates.Comment: 17 figures, 7 tables. Updated to match published version in MNRA