Abstract
We investigate the properties of $\sim7000$ narrow-band selected galaxies
with strong H$\beta+$OIII and OII nebular emission lines from the High-$z$
Emission Line Survey (HiZELS) between $z 0.8 - 5.0$. Our sample covers a
wide range in stellar mass ($M\sim10^7.5 - 12.0$ M$_ødot$), rest-frame
equivalent widths (EW$_rest10 - 10^5$ \AA), and line luminosities
($L\sim10^40.5 - 43.2$ erg s$^-1$). We measure the H$\beta+$OIII and
OII-selected stellar mass functions out to $z 3.5$ and find that both
$M_\star$ and $\phi_\star$ increases with cosmic time, which may be due to the
OIII selection including an increasing fraction of AGN at lower redshifts.
The OII-selected stellar mass functions show a constant
$M_\star\sim10^11.6$ M$_ødot$ and a strong, increasing evolution with cosmic
time in $\phi_\star$ in line with H$\alpha$ studies. We also investigate the
EW$_rest$ evolution as a function of redshift with a fixed mass range
(10$^9.5 - 10.0$ M$_ødot$) and find an increasing trend best represented by
$(1+z)^3.81\pm0.14$ and $(1+z)^2.72\pm0.19$ up to $z2$ and $3$
for H$\beta$+OIII and OII emitters, respectively. This is the first time
that the EW evolution has been directly measured for H$\beta+$OIII and OII
emitters up to these redshifts. There is evidence for a slower evolution for $z
> 2$ in the H$\beta+$OIII EW and a decreasing trend for $z > 3$ in the OII
EW evolution, which would imply low OII EW at the highest redshifts and
higher OIII/OII line ratios. This suggests that the ionization parameter at
higher redshift may be significantly higher than the local Universe. Our
results set the stage for future near-IR space-based spectroscopic surveys to
test our extrapolated predictions and also produce $z > 5$ measurements to
constrain the high-$z$ end of the EW$_rest$ and OIII/OII
evolution.
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