(Proposal ID) S15A-124 (PI) Hayashi, Masao (Proposal Title) Definitive Measurements of the Mass-Metallicity-SFR Relation at z~2.2 (Abstract) We propose for FMOS spectroscopy of ~90 Halpha-selected galaxies at z=2.2 to capture [O ii], Hbeta, and [O iii]. Our primary objective is to compute gas metallicities and determine its relationship with SFR and stellar mass, during a critical period in galaxy evolution where star formation was at its global maximum. The study will reveal how the relative importance of the physical processes driving metal enrichment, star formation, and stellar feedback may have changed over cosmic time. Unlike previous high-z studies that derive luminosity-weighted gas metallicity from stacked spectra, our program will obtain robust gas metallicity measurements for ~30 individual galaxies, a factor of ~4 over current samples. FMOS is the ideal instrument for obtaining near-IR spectroscopy for our sample: the areal coverage, number densities, and depths of our Halpha sample are excellent matches to FMOS' FoV, fiber density and sensitivity. In addition, the emission lines of our galaxies have been pre- selected to fall in clean OH windows. The powerful combination of FMOS and narrowband imaging will yield a dataset which addresses critical limitations of previous high-z metallicity studies. These observations will also allow us to determine if massive stars or an AGN dominate the emission-line luminosity at z=2.2.