Statistical anisotropy in galaxy ellipticity correlations

Abstract

As well as the galaxy number density and peculiar velocity, the galaxy intrinsic alignment can be used to test the cosmic isotropy. We study distinctive impacts of the isotropy breaking on the configuration-space two-point correlation functions (2PCFs) composed of the spin-2 galaxy ellipticity field. For this purpose, we build a formalism for general types of the isotropy-violating 2PCFs and a methodology to efficiently compute them by generalizing the polypolar spherical harmonic decomposition approach to the spin-weighted version. As a demonstration, we analyze the 2PCFs when the matter power spectrum has a well-known $g_{\ast }$-type isotropy-breaking term (induced by, e.g., dark vector fields). We then confirm that some anisotropic distortions indeed appear in the 2PCFs and their shapes rely on a preferred direction causing the isotropy violation, $\hat{d}$. Such a feature can be a distinctive indicator for testing the cosmic isotropy. Comparing the isotropy-violating 2PCFs computed with and without the plane parallel (PP) approximation, we find that, depending on $\hat{d}$, the PP approximation is no longer valid when an opening angle between the directions towards target galaxies is $\mathcal{O}(1^{\circ })$ for the density-ellipticity and velocity-ellipticity cross correlations and around $10^{\circ }$ for the ellipticity auto correlation. This suggests that an accurate test for the cosmic isotropy requires the formulation of the 2PCF without relying on the PP approximation.

arXiv comment26+1 pages, 8 figures; version matching publication in JCAP

References in corpus (67)

• Planck 2018 results. X. Constraints on inflation
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Vector Dark Matter from Inflationary Fluctuations
• Gauge Fields and Inflation
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Hidden vector dark matter
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Statistical Anisotropy from Anisotropic Inflation
• Vector dark matter production at the end of inflation
• A cosmic vector for dark energy
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• Imprint of inflation on galaxy shape correlations
• Cosmic Rulers
• Galaxy Bias and Primordial Non-Gaussianity
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Beyond the plane-parallel approximation for redshift surveys
• On the Inflationary Perturbations of Massive Higher-Spin Fields
• Wide Angle Redshift Distortions Revisited
• An EFT description of galaxy intrinsic alignments
• Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
• Large-Scale Structure and Gravitational Waves III: Tidal Effects
• Wide Angle Effects in Future Galaxy Surveys
• Anisotropy in solid inflation
• Primordial gravity wave fossils and their use in testing inflation
• CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
• Anisotropic imprint of long-wavelength tensor perturbations on cosmic structure
• Multitracing Anisotropic Non-Gaussianity with Galaxy Shapes
• Parity-violating CMB correlators with non-decaying statistical anisotropy
• Parity-violating and anisotropic correlations in pseudoscalar inflation
• Observational signatures of anisotropic inflationary models
• Non-detection of a statistically anisotropic power spectrum in large-scale structure
• Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory
• Detecting higher spin fields through statistical anisotropy in the CMB and galaxy power spectra
• Anisotropic inflation reexamined: upper bound on broken rotational invariance during inflation
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Improving geometric and dynamical constraints on cosmology with intrinsic alignments of galaxies
• Large-scale tidal effect on redshift-space power spectrum in a finite-volume survey
• Galaxy power-spectrum responses and redshift-space super-sample effect
• Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
• The expected anisotropy in solid inflation
• Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model
• Primordial Statistical Anisotropies: The Effective Field Theory Approach
• The impact of large-scale tides on cosmological distortions via redshift-space power spectrum
• Tightening geometric and dynamical constraints on dark energy and gravity: galaxy clustering, intrinsic alignment and kinetic Sunyaev-Zel'dovich effect
• Limits on statistical anisotropy from BOSS DR12 galaxies using bipolar spherical harmonics
• 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
• Galaxy shape statistics in the effective field theory
• Testing tidal alignment models for anisotropic correlations of halo ellipticities with N-body simulations
• First Constraints on Growth Rate from Redshift-Space Ellipticity Correlations of SDSS Galaxies at $0.16<z<0.70$
• Statistically Anisotropic Tensor Modes from Inflation
• Constraints on anisotropic primordial non-Gaussianity from intrinsic alignments of SDSS-III BOSS galaxies
• Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel'dovich approximation
• Footprint of Two-Form Field: Statistical Anisotropy in Primordial Gravitational Waves
• Wide angle effects for peculiar velocities
• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• Combinatorics in tensor integral reduction
• Wide-angle effects on galaxy ellipticity correlations
• Super-sample tidal modes on the celestial sphere
• Power spectrum in the presence of large-scale overdensity and tidal fields: breaking azimuthal symmetry
• Relativistic distortions in galaxy density-ellipticity correlations: gravitational redshift and peculiar velocity effects
• Minimum variance estimation of galaxy power spectrum in redshift space
• Alcock-Paczynski effects on wide-angle galaxy statistics
• Minimum variance estimation of statistical anisotropy via galaxy survey

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• Imprints of primordial magnetic fields on intrinsic alignments of galaxies
• Nonlinear redshift space distortion in halo ellipticity correlations: Analytical model and N-body simulations
• Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
• Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
• A rising tide: Intrinsic alignments since the turn of the millennium
• Improving cosmological constraints via galaxy intrinsic alignment in full-shape analysis
• Probing dipolar power asymmetry with galaxy clustering and intrinsic alignments