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 $z\sim1.3$ 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 $\sim 20\%$
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.
