Angular spectra of the intrinsic galaxy ellipticity field, their observability and their impact on lensing in tomographic surveys

Subject of this paper are intrinsic ellipticity correlations between galaxies, their statistical properties, their observability with future surveys and their interference with weak gravitational lensing measurements. Using an angular momentum-based, quadratic intrinsic alignment model we derive correlation functions of the ellipticity components and project them to yield the four non-zero angular ellipticity spectra $C^ε_E(\ell)$, $C^ε_B(\ell)$, $C^ε_C(\ell)$ and $C^ε_S(\ell)$ in their generalisation to tomographic surveys. For a Euclid-like survey, these spectra would have amplitudes smaller than the weak lensing effect on nonlinear structures, but would constitute an important systematic. Computing estimation biases for cosmological parameters derived from an alignment-contaminated survey suggests biases of $+5σ_w$ for the dark energy equation of state parameter $w$, $-20σ_{Ω_m}$ for the matter density $Ω_m$ and $-12σ_{σ_8}$ for the spectrum normalisation $σ_8$. Intrinsic alignments yield a signal which is easily observable with a survey similar to Euclid: While not independent, significances for estimates of each of the four spectra reach values of tens of $σ$ if weak lensing and shape noise are considered as noise sources, which suggests relative uncertainties on alignment parameters at the percent level.

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