Near-Infrared Spectroscopy of Galaxies During Reionization: Measuring C$\,$III] in a Galaxy at $\mathbf{z=7.5}$

We present Keck/MOSFIRE $H$-band spectroscopy targeting C$\,$III] $\lambda$1907,1909 in a $z=7.5056$ galaxy previously identified via Ly$\alpha$ emission. We detect strong line emission at $1.621\pm0.002\,\mu$m with a line flux of ($2.63\pm0.52$)$\times10^{-18}$ erg s$^{-1}$ cm$^{-2}$. We tentatively identify this line as [C$\,$III] $\lambda$1907, but we are unable to detect C$\,$III] $\lambda$1909 owing to sky emission at the expected location. This gives a galaxy systemic redshift, $z_{sys}=7.5032\pm0.0003$, with a velocity offset to Ly$\alpha$ of $\Delta$v$_{Ly\alpha}$ = $88\pm27$ km s$^{-1}$. The ratio of combined C$\,$III]/Ly$\alpha$ is 0.30-0.45, one of the highest values measured for any $z>2$ galaxy. We do not detect Si$\,$III] $\lambda\lambda$1883, 1892, and place an upper limit on Si$\,$III]/C$\,$III] $
Comment: 19 pages, 12 figures, accepted for publication in ApJ