(Proposal ID) S14B-001 (PI) Maier, Christian (Proposal Title) Z(M,SFR) at z>2 and the existence of the fundamental metallicity relation (Abstract) In the local Universe, there is good evidence that, at a given stellar mass M, the gas-phase metallicity Z is anti-correlated with the SFR of the galaxies. It was also claimed that the resulting Z(M, SFR) relation is invariant with redshift - the so-called "Fundamental Metallicity Relation" (FMR). At z>2 this claim strongly relies on the problematic Erb et al. (2006) data, that are affected by the unknown AGN contribution and problematic N2 calibration. Thus, the form of the Z(M, SFR) relation and whether it is really independent of redshift is still very controversial. To provide conclusive evidence at z>2, we propose FMOS spectroscopy to measure [OII], Hbeta, and [OIII] for a sample of 150 galaxies with reliable spectroscopic redshifts from the zCOSMOS-deep survey. This sample includes 20 z>2 galaxies with measured Halpha and [NII] using previous K-band spectroscopy, and also includes galaxies with upcoming K-band near-infrared spectroscopy. The new data will allow to measure reliable metallicities based on five emission lines for a large z>2 sample, and reveal unambiguously the form and possible epoch-independence up to z ~ 2.5 of the Z(M, SFR) relation, which is a very powerful diagnostic of the regulation of star-formation in typical main sequence galaxies (Lilly et al. 2013).