Nonlinear redshift space distortion in halo ellipticity correlations: Analytical model and N-body simulations

Abstract

We present an analytic model of nonlinear correlators of galaxy/halo ellipticities in redshift space. The three-dimensional ellipticity field is not affected by the redshift-space distortion (RSD) at linear order, but by the nonlinear one, known as the Finger-of-God effect, caused by the coordinate transformation from real to redshift space. Adopting a simple Gaussian damping function to describe the nonlinear RSD effect and the nonlinear alignment model for the relation between the observed ellipticity and underlying tidal fields, we derive analytic formulas for the multipole moments of the power spectra of the ellipticity field in redshift space expanded in not only the associated Legendre basis, a natural basis for the projected galaxy shape field, but also the standard Legendre basis, conventionally used in literature. The multipoles of the corresponding correlation functions of the galaxy shape field are shown to be expressed by a simple Hankel transform, as is the case for those of the conventional galaxy density correlations. We measure these multipoles of the power spectra and correlation functions of the halo ellipticity field using large-volume N-body simulations. We then show that the measured alignment signals can be better predicted by our nonlinear model than the existing linear alignment model. The formulas derived here have already been used to place cosmological constraints using from the redshift-space correlation functions of the galaxy shape field measured from the Sloan Digital Sky Survey (Okumura and Taruya, 2023).

arXiv comment26 pages, 9 figures, 3 tables, accepted to PRD

References in corpus (91)

• Planck 2015 results. XIII. Cosmological parameters
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Theoretical Models of the Halo Occupation Distribution: Separating Central and Satellite Galaxies
• Triaxial Modeling of Halo Density Profiles with High-resolution N-body Simulations
• Reconstructing the linear power spectrum of cosmological mass fluctuations
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Intrinsic alignment-lensing interference as a contaminant of cosmic shear
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
• Fingers of God
• Intrinsic and Extrinsic Galaxy Alignment
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• Testing cosmological structure formation using redshift-space distortions
• Intrinsic galaxy alignments from the 2SLAQ and SDSS surveys: luminosity and redshift scalings and implications for weak lensing surveys
• Galaxy alignments: An overview
• The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
• 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
• The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at $z\sim 1.4$
• Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
• Accurate Estimators of Correlation Functions in Fourier Space
• Beyond linear galaxy alignments
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Cosmic Shear from Galaxy Spins
• Intrinsic alignments of SDSS-III BOSS LOWZ sample galaxies
• Galaxy alignments: Observations and impact on cosmology
• Intrinsic Ellipticity Correlation of SDSS Luminous Red Galaxies and Misalignment with their Host Dark Matter Halos
• Galaxy alignments: Theory, modelling and simulations
• Intrinsic correlation of halo ellipticity and its implications for large-scale weak lensing surveys
• Weak lensing with COMBO-17: estimation and removal of intrinsic alignments
• Tidal alignment of galaxies
• Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
• Testing the tidal alignment model of galaxy intrinsic alignment
• Redshift Space Distortions of the Correlation Function in Wide Angle Galaxy Surveys
• Imprint of inflation on galaxy shape correlations
• The Properties of Cosmic Velocity Fields
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: the low redshift sample
• Tentative Detection of Galaxy Spin Correlations in the Tully Catalogue
• The Gravitational Shear--Intrinsic Ellipticity Correlation Functions of Luminous Red Galaxies in Observation and in the $\Lambda$CDM Model
• Distribution function approach to redshift space distortions
• Wide Angle Redshift Distortions Revisited
• Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
• An EFT description of galaxy intrinsic alignments
• Large-Scale Structure and Gravitational Waves III: Tidal Effects
• Systematic Effects on Determination of the Growth Factor from Redshift-space Distortions
• Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
• Multitracing Anisotropic Non-Gaussianity with Galaxy Shapes
• Intrinsic alignments of BOSS LOWZ galaxies II: Impact of shape measurement methods
• Precision modeling of redshift-space distortions from multi-point propagator expansion
• Distribution function approach to redshift space distortions. Part II: N-body simulations
• Baryon Acoustic Oscillations in 2D II: Redshift-space halo clustering in N-body simulations
• Distribution function approach to redshift space distortions, Part III: halos and galaxies
• Peculiar velocities in redshift space: formalism, N-body simulations and perturbation theory
• Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Detection of the large scale alignment of massive galaxies at z~0.6
• Improving geometric and dynamical constraints on cosmology with intrinsic alignments of galaxies
• Power spectrum of halo intrinsic alignments in simulations
• Can weak lensing surveys confirm BICEP2 ?
• Galaxy power spectrum in redshift space: combining perturbation theory with the halo model
• Time evolution of intrinsic alignments of galaxies
• Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model
• Tightening geometric and dynamical constraints on dark energy and gravity: galaxy clustering, intrinsic alignment and kinetic Sunyaev-Zel'dovich effect
• The IA Guide: A Breakdown of Intrinsic Alignment Formalisms
• Imprint of anisotropic primordial non-Gaussianity on halo intrinsic alignments in simulations
• Cosmological simulation in tides: power spectra and halo shape responses, and shape assembly bias
• Intrinsic alignment statistics of density and velocity fields at large scales: Formulation, modeling, and baryon acoustic oscillation features
• First Constraints on Growth Rate from Redshift-Space Ellipticity Correlations of SDSS Galaxies at $0.16<z<0.70$
• Testing tidal alignment models for anisotropic correlations of halo ellipticities with N-body simulations
• Constraints on anisotropic primordial non-Gaussianity from intrinsic alignments of SDSS-III BOSS galaxies
• Intrinsic Alignments and Splashback Radius of Dark Matter Halos from Cosmic Density and Velocity Fields
• Splashback radius of nonspherical dark matter halos from cosmic density and velocity fields
• The Subaru FMOS galaxy redshift survey (FastSound). V. Intrinsic alignments of emission line galaxies at $z\sim 1.4$
• Gravitational wave fossils in nonlinear regime: halo tidal bias and intrinsic alignments from gravitational wave separate universe simulations
• Quadratic shape biases in three-dimensional halo intrinsic alignments
• Evidence for baryon acoustic oscillations from galaxy-ellipticity correlations
• First Evidence of Intrinsic Alignments of Red Galaxies at $z>1$: Cross-correlation between CFHTLenS and FastSound Samples
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Distinguishing between $\Lambda$CDM and $f(R)$ gravity models using halo ellipticity correlations in simulations
• Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
• Wide-angle effects on galaxy ellipticity correlations
• Statistical anisotropy in galaxy ellipticity correlations
• Relativistic distortions in galaxy density-ellipticity correlations: gravitational redshift and peculiar velocity effects
• Impact of intrinsic alignments on clustering constraints of the growth rate
• New measures to test modified gravity cosmologies

Cited by in corpus (7)

• Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
• A rising tide: Intrinsic alignments since the turn of the millennium
• Squeezing Full-Shape Dynamical Dark Energy Constraints with Galaxy Alignments
• Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations
• Improving cosmological constraints via galaxy intrinsic alignment in full-shape analysis
• Evidence for Intrinsic Galaxy Alignments in Ellipticity Autocorrelations out to $100h^{-1}\text{Mpc}$ from SDSS Galaxies with DESI Imaging
• Three-point intrinsic alignments of galaxies and haloes in the FLAMINGO simulations