Self-calibration method for II and GI types of intrinsic alignments of
  galaxies
  We introduce a self-calibration method that can be applied to the intrinsic
ellipticity--intrinsic ellipticity (II) and gravitational shear -- intrinsic
ellipticity (GI) types of intrinsic alignment of galaxies. The method combines
previous self-calibration techniques with modifications to one of them in order
to use auto-spectra in addition to cross-spectra between redshift bins. This
allows one to use the self-calibration while preserving all the constraining
power of cosmic shear from surveys. We show that the new method provides more
flexibility in using various redshift bin widths. We perform cosmological
parameter constraint forecast when this method is applied to the Large Synoptic
Survey Telescope (LSST). Compared to the original self-calibration, we find
that the new method provides further significant reduction in any residual
shift in the cosmological parameters (e.g. factors of $2-4$ for the dark energy
equation of state) which is promising for accurate cosmology.
