Integrated perturbation theory for cosmological tensor fields. III. Projection effects
arXiv:2304.13304 · doi:10.1103/PhysRevD.110.063545
Abstract
The integrated perturbation theory (iPT) is a set of methods in nonlinear perturbation theory for the structure formation in the Universe. In Papers I and II [arXiv:2210.10435, arXiv:2210.11085], the basic formalism and technical methods of the iPT for cosmological tensor fields are developed, generalizing the corresponding theory for scalar fields. In previous papers, methods to predict statistical quantities, such as power spectra, correlation functions, etc., of three-dimensional tensor fields are developed based on the iPT. However, observations of tensors, such as angular momenta and shapes of galaxies, etc., are only possible after the three-dimensional tensors are projected onto the two-dimensional sky. In this paper, power spectra and correlation functions of projected two-dimensional tensors are related to those of original three-dimensional tensors, so that one can make predictions for the observable statistics of projected tensor fields from the iPT. The relations are consistently represented on the basis of irreducible decomposition of both two- and three-dimensional tensors.
arXiv comment30 pages, no figure, this paper is the third of a series, the first one is arXiv:2210.10435, the second one is arXiv:2210.11085 and the fourth one is arXiv:2405.09038
References in corpus (58)
- Weak Gravitational Lensing
- Large-Scale Structure of the Universe and Cosmological Perturbation Theory
- An All-Sky Analysis of Polarization in the Microwave Background
- Large-Scale Galaxy Bias
- Intrinsic alignment-lensing interference as a contaminant of cosmic shear
- Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
- Weak Lensing of the CMB: A Harmonic Approach
- On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
- Intrinsic and Extrinsic Galaxy Alignment
- Uncorrelated Modes of the Nonlinear Power Spectrum
- Linear Redshift Distortions: A Review
- Spin induced galaxy alignments and their implications for weak lensing measurements
- Galaxy alignments: An overview
- Weak lensing surveys and the intrinsic correlation of galaxy ellipticities
- Evolution of the angular momentum of protogalaxies from tidal torques: Zel'dovich approximation
- Beyond linear galaxy alignments
- Cosmic Shear from Galaxy Spins
- Intrinsic correlation of halo ellipticity and its implications for large-scale weak lensing surveys
- Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
- Tidal alignment of galaxies
- FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
- Galaxy Spin Statistics and Spin-Density Correlation
- Interferometric Observation of Cosmic Microwave Background Anisotropies
- Testing the tidal alignment model of galaxy intrinsic alignment
- Imprint of inflation on galaxy shape correlations
- Angular velocity of gravitational radiation from precessing binaries and the corotating frame
- The Gravitational Shear--Intrinsic Ellipticity Correlation Functions of Luminous Red Galaxies in Observation and in the CDM Model
- Non-linear evolution of the angular momentum of protostructures from tidal torques
- An EFT description of galaxy intrinsic alignments
- Cosmological Information in the Intrinsic Alignments of Luminous Red Galaxies
- Fast Large Scale Structure Perturbation Theory using 1D FFTs
- FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory
- Theory and Statistics of Weak Lensing from Large-Scale Mass Inhomogeneities
- Multitracing Anisotropic Non-Gaussianity with Galaxy Shapes
- Possible observational evidence that cosmic filaments spin
- Deriving an Accurate Formula of Scale-dependent Bias with Primordial Non-Gaussianity: An Application of the Integrated Perturbation Theory
- Improving geometric and dynamical constraints on cosmology with intrinsic alignments of galaxies
- Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
- FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
- Probing Primordial Chirality with Galaxy Spins
- Diagrammatic Methods in Statistics and Biasing in the Large-scale Structure of the Universe
- Time evolution of intrinsic alignments of galaxies
- Anisotropies of galaxy ellipticity correlations in real and redshift space: angular dependence in linear tidal alignment model
- Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers
- Tightening geometric and dynamical constraints on dark energy and gravity: galaxy clustering, intrinsic alignment and kinetic Sunyaev-Zel'dovich effect
- Imprint of anisotropic primordial non-Gaussianity on halo intrinsic alignments in simulations
- Intrinsic alignment statistics of density and velocity fields at large scales: Formulation, modeling, and baryon acoustic oscillation features
- Intrinsic galaxy alignment from angular dependent primordial non-Gaussianity
- Galaxy shape statistics in the effective field theory
- 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
- Impacts of biasing schemes in the one-loop integrated perturbation theory
- Observational search for primordial chirality violations using galaxy angular momenta
- Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
- Analysis method for 3D power spectrum of projected tensor field with fast estimator and window convolution modelling: an application to intrinsic alignments
- Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
- Integrated perturbation theory for cosmological tensor fields. II. Loop corrections
- Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
Cited by in corpus (8)
- Quadratic shape biases in three-dimensional halo intrinsic alignments
- Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
- Integrated perturbation theory for cosmological tensor fields. II. Loop corrections
- Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation
- Extracting parity-violating gravitational waves from projected tidal force tensor in three dimensions
- Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations
- Cosmic Strings-induced CMB anisotropies in light of Weighted Morphology
- Degrees of Freedom of New General Relativity I: Type 2, Type 3, Type 5, and Type 8