Intrinsic alignment contamination to CMB lensing-galaxy weak lensing correlations from tidal torquing

TL;DR

This paper investigates how tidal torquing-induced intrinsic alignments of spiral galaxies contaminate CMB lensing-galaxy weak lensing correlations, using non-linear perturbation theory to improve understanding and forecast constraints.

Contribution

It provides the first calculation of non-linear corrections to tidal torquing models and relates intrinsic alignment contamination to CMB lensing measurements.

Findings

Intrinsic alignments from tidal torquing have a scale dependence similar to linear models.

The amplitude of contamination depends strongly on galaxy formation redshift.

Forecasts suggest potential for constraining intrinsic alignments with upcoming measurements.

Abstract

Correlations of galaxy ellipticities with large-scale structure, due to galactic tidal interactions, provide a potentially significant contaminant to measurements of cosmic shear. However, these intrinsic alignments are still poorly understood for galaxies at the redshifts typically used in cosmic shear analyses. For spiral galaxies, it is thought that tidal torquing is significant in determining alignments resulting in zero correlation between the intrinsic ellipticity and the gravitational potential in linear theory. Here, we calculate the leading-order correction to this result in the tidal-torque model from non-linear evolution, using second-order perturbation theory, and relate this to the contamination from intrinsic alignments to the recently-measured cross-correlation between galaxy ellipticities and the CMB lensing potential. On the scales relevant for CMB lensing observations, the squeezed limit of the gravitational bispectrum dominates the correlation. Physically, the large-scale mode that sources CMB lensing modulates the small-scale power and hence the intrinsic ellipticity, due to non-linear evolution. We find that the angular cross-correlation from tidal torquing has a very similar scale dependence as in the linear alignment model, believed to be appropriate for elliptical galaxies. The amplitude of the cross-correlation is predicted to depend strongly on the formation redshift, being smaller for galaxies that formed at higher redshift when the bispectrum of the gravitational potential was smaller. Finally, we make simple forecasts for constraints on intrinsic alignments from the correlation of forthcoming cosmic shear measurements with current CMB lensing measurements. We note that cosmic variance can be significantly reduced in measurements of the difference in the intrinsic alignments for elliptical and spiral galaxies if these can be separated (e.g., using colour).