(Proposal ID) S17B-070 (PI) Morokuma, Tomoki (Proposal Title) Tidal Disruption Event Rate Measurement at z~0.5 (Abstract) We propose 1-night optical spectroscopic observations with FOCAS to (i) determine the redshifts of 4 tidal disruption event (TDE) candidates, (ii) measure the TDE rate at high redshifts ($z\sim0.5$), and (iii) study the host galaxies and black hole-host galaxy relations in the low-mass regime. TDEs, in general, are preferably hosted by lower-mass black holes (BHs; ~10^{6} M_sun) and a useful tool to study BH-host galaxy relation without being affected by luminous AGN. The TDE candidates here are selected using transient survey data from Nov. 2016 in five optical bands (grizy) in the COSMOS field in the Hyper Suprime-Cam Strategic Survey Program. The light curves of the TDE candidates are roughly characterized by power-law decay (f proportion t^{-5/3}) and the colors are bluer than supernovae showing similar decays. The photometric redshifts of these host galaxies indicate that they are at higher redshifts, z~0.5, than previously studies TDEs without relativistic jets. This makes our TDE sample the highest redshift and most uniformly selected one, which enables us to derive the TDE rate at z~0.5 for the first time. In addition, the host galaxy spectra will be examined and compared with previous results indicating that TDEs are preferably hosted by post-starburst or ultra-luminous infrared galaxies.