Wide-angle effects on galaxy ellipticity correlations

Abstract

We show an efficient way to compute wide-angle or all-sky statistics of galaxy intrinsic alignment in three-dimensional configuration space. For this purpose, we expand the two-point correlation function using a newly introduced spin-dependent tripolar spherical harmonic basis. Therefore, the angular dependences on the two line-of-sight (LOS) directions pointing to each pair of objects, which are degenerate with each other in the conventional analysis under the small-angle or plane-parallel (PP) approximation, are unambiguously decomposed. By means of this, we, for the first time, compute the wide-angle auto and cross correlations between intrinsic ellipticities, number densities and velocities of galaxies, and compare them with the PP-limit results. For the ellipticity-ellipticity and density-ellipticity correlations, we find more than $10\%$ deviation from the PP-limit results if the opening angle between two LOS directions exceeds $30^{\circ }-50^{\circ }$. It is also shown that even if the PP-limit result is strictly zero, the non-vanishing correlation is obtained over the various scales, arising purely from the curved-sky effects. Our results indicate the importance of the data analysis not relying on the PP approximation in order to determine the cosmological parameters more precisely and/or find new physics via ongoing and forthcoming wide-angle galaxy surveys.

5 pages, 2 figures; version matching publication in MNRAS Letters

References in corpus (33)

• Intrinsic alignment-lensing interference as a contaminant of cosmic shear
• Intrinsic and Extrinsic Galaxy Alignment
• Intrinsic galaxy alignments from the 2SLAQ and SDSS surveys: luminosity and redshift scalings and implications for weak lensing surveys
• Detection of large scale intrinsic ellipticity-density correlation from the Sloan Digital Sky Survey and implications for weak lensing surveys
• Weak lensing surveys and the intrinsic correlation of galaxy ellipticities
• Discriminating weak lensing from intrinsic spin correlations using the curl-gradient decomposition
• Intrinsic Correlation of Galaxy Shapes: Implications for Weak Lensing Measurements
• Intrinsic Ellipticity Correlation of SDSS Luminous Red Galaxies and Misalignment with their Host Dark Matter Halos
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• Imprint of inflation on galaxy shape correlations
• Cosmic Rulers
• Beyond the plane-parallel and Newtonian approach: Wide-angle redshift distortions and convergence in general relativity
• The Gravitational Shear--Intrinsic Ellipticity Correlation Functions of Luminous Red Galaxies in Observation and in the $\Lambda$CDM Model
• Beyond the plane-parallel approximation for redshift surveys
• Non-Perturbative Effects of Geometry in Wide-Angle Redshift Distortions
• Wide Angle Redshift Distortions Revisited
• An EFT description of galaxy intrinsic alignments
• Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
• Wide Angle Effects in Future Galaxy Surveys
• CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
• Multitracing Anisotropic Non-Gaussianity with Galaxy Shapes
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Improving geometric and dynamical constraints on cosmology with intrinsic alignments of galaxies
• Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
• Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model
• Polypolar spherical harmonic decomposition of galaxy correlators in redshift space: Toward testing cosmic rotational symmetry
• Imprint of anisotropic primordial non-Gaussianity on halo intrinsic alignments in simulations
• Intrinsic galaxy alignment from angular dependent primordial non-Gaussianity
• Intrinsic alignment statistics of density and velocity fields at large scales: Formulation, modeling, and baryon acoustic oscillation features
• Testing tidal alignment models for anisotropic correlations of halo ellipticities with N-body simulations
• Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
• Wide angle effects for peculiar velocities
• Minimum variance estimation of galaxy power spectrum in redshift space

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• Imprints of primordial magnetic fields on intrinsic alignments of galaxies
• Relativistic distortions in galaxy density-ellipticity correlations: gravitational redshift and peculiar velocity effects
• Nonlinear redshift space distortion in halo ellipticity correlations: Analytical model and N-body simulations
• Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
• Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
• Alcock-Paczynski effects on wide-angle galaxy statistics
• Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations