Intrinsic alignments and 3d weak gravitational lensing

Abstract

In this paper we show how intrinsic alignments can be incorporated consistently in the formalism of 3d weak lensing. We use two different descriptions of the intrinsic galaxy ellipticities, the so-called linear and quadratic model, respectively. For both models we derive the covariance matrix of the intrinsic alignment signal (II-alignments) and GI-alignments (the cross correlation of intrinsic and lensing induced ellipticities). Evaluating the covariance matrices for the linear model numerically and comparing the results to the cosmic shear signal we find that for a low redshift survey the total covariance matrix is dominated by the contributions of the II-alignments. For a Euclid-like survey II-alignments still dominate over GI-alignments but they are more than one order of magnitude smaller than the lensing signal. The shape of the ellipticity covariance matrices is quite different in the k-k'-plane for cosmic shear on the one hand and intrinsic alignments on the other hand. In comparison to lensing both alignment types tend to be rather elongated along the diagonal k=k'. Moreover, for high multipoles (l ~ 100) intrinsic alignments are strongly concentrated along that diagonal.

13 pages, 5 figures, MNRAS accepted

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• The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
• Galaxy alignments: Observations and impact on cosmology
• Galaxy alignments: Theory, modelling and simulations
• 3D Cosmic Shear: Cosmology from CFHTLenS
• Testing (modified) gravity with 3D and tomographic cosmic shear
• 3D Weak Gravitational Lensing of the CMB and Galaxies
• 3D galaxy clustering with future wide-field surveys: Advantages of a spherical Fourier-Bessel analysis
• Angular ellipticity correlations in a composite alignment model for elliptical and spiral galaxies and inference from weak lensing
• The cross-correlation between 3d cosmic shear and the integrated Sachs-Wolfe effect
• Parameter constraints from weak lensing tomography of galaxy shapes and cosmic microwave background fluctuations
• Intrinsic and extrinsic correlations of galaxy shapes and sizes in weak lensing data
• 3D cosmic shear: numerical challenges, 3D lensing random fields generation and Minkowski Functionals for cosmological inference
• Imitating intrinsic alignments: A bias to the CMB lensing-galaxy shape cross-correlation power spectrum induced by the large-scale structure bispectrum
• Statistical separation of weak gravitational lensing and intrinsic ellipticities based on galaxy colour information
• An Exact Integral-to-Sum Relation for Products of Bessel Functions
• Environmental dependence of ellipticity correlation functions of intrinsic alignments
• Spin Alignment of Dark Matter Halos: Mad Halos
• Realistic systematic biases induced by residual intrinsic alignments in cosmic shear surveys