First Evidence of Intrinsic Alignments of Red Galaxies at $z>1$: Cross-correlation between CFHTLenS and FastSound Samples

We report the first evidence for intrinsic alignment (IA) of red galaxies at $z>1$. We measure the gravitational shear-intrinsic ellipticity (GI) cross-correlation function at $z\sim 1.3$ using galaxy positions from the FastSound spectroscopic survey and galaxy shapes from Canada-Hawaii-France telescope lensing survey data. Adopting the non-linear alignment model, we obtain a $2.4\sigma$-level detection of the IA amplitude $A^{\rm LA}=27.48_{-11.54}^{+11.53}$(and$2.6\sigma$with$A^{\rm LA}=29.43_{-11.49}^{+11.48}$ when weak-lensing contaminations are taken into account), which is larger than the value extrapolated from the constraints obtained at lower redshifts. Our measured IA is translated into a $\sim 20\mathrm{\%}$ contamination to the weak lensing power spectrum for the red galaxies. This marginal detection of IA for red galaxies at $z>1$ motivates the continuing investigation of the nature of IA for weak lensing studies. Furthermore, our result provides the first step to utilize IA measurements in future high-$z$ surveys as a cosmological probe, complementary to galaxy clustering and lensing.