Relativistic cosmological large scale structures at one-loop

Abstract

The large scale structure bispectrum in the squeezed limit couples large with small scales. Since relativity is important at large scales and non-linear loop corrections are important at small scales, the proper calculation of the observed bispectrum in this limit requires a non-linear relativistic calculation. We compute the matter bispectrum in general relativity in the weak field approximation. The calculation is as involved as existing second-order results. We find several differences with the Newtonian calculation such as the non-cancellation of IR divergences, the need to renormalize the background, and the fact that initial conditions must be set at second order in perturbation theory. For the bispectrum, we find relativistic corrections to be as large as the newtonian result in the squeezed limit. In that limit relativistic one-loop contributions, which we compute for the first time, can be as large as tree level results and have the same $1/k^2$ dependence as a primordial local non-Gaussianity signal where $k$ is the momentum approaching zero. Moreover, we find the time dependence of the relavistic corrections to the bispectrum to be the same as that of a primordial non-Gaussianity signal.

arXiv commentVersion 2, 44 pages, 5 figures. Accepted for publication

References in corpus (86)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cuba - a library for multidimensional numerical integration
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Single field consistency relation for the 3-point function
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• The linear power spectrum of observed source number counts
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Constraints on local primordial non-Gaussianity from large scale structure
• What galaxy surveys really measure
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• The effect of primordial non-Gaussianity on halo bias
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Adiabatic Modes in Cosmology
• Power Spectrum Super-Sample Covariance
• Large-scale clustering of galaxies in general relativity
• General Relativistic Description of the Observed Galaxy Power Spectrum: Do We Understand What We Measure?
• The IR-resummed Effective Field Theory of Large Scale Structures
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Loop Corrections in Non-Linear Cosmological Perturbation Theory
• Single-Field Consistency Relations of Large Scale Structure
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• On the Renormalization of the Effective Field Theory of Large Scale Structures
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• gevolution: a cosmological N-body code based on General Relativity
• Going beyond the Kaiser redshift-space distortion formula: a full general relativistic account of the effects and their detectability in galaxy clustering
• Testing General Relativity on Horizon Scales and the Primordial non-Gaussianity
• The (not so) squeezed limit of the primordial 3-point function
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Effects of nonlinear inhomogeneity on the cosmic expansion with numerical relativity
• Newtonian and Relativistic Cosmologies
• Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
• The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures
• Galaxy number counts to second order and their bispectrum
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
• The Full Second-Order Radiation Transfer Function for Large-Scale CMB Anisotropies
• Isolating relativistic effects in large-scale structure
• General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
• The bispectrum of relativistic galaxy number counts
• N-body methods for relativistic cosmology
• Integration of inhomogeneous cosmological spacetimes in the BSSN formalism
• Action approach to cosmological perturbations: the 2nd order metric in matter dominance
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. I - Key results
• Large scale structure from viscous dark matter
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation
• Conformal Fermi Coordinates
• Non-linear Fields in Generalized Cosmologies
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Relativistic Interpretation of Newtonian Simulations for Cosmic Structure Formation
• A Consistency Relation for the Observed Galaxy Bispectrum and the Local non-Gaussianity from Relativistic Corrections
• Gauge-Invariance and Infrared Divergences in the Luminosity Distance
• General relativistic weak-field limit and Newtonian N-body simulations
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• Bispectrum Supersample Covariance
• The Full-Sky Angular Bispectrum in Redshift Space
• Efficient exploration of cosmology dependence in the EFT of LSS
• The relativistic dipole and gravitational redshift on LSS
• Contributions to the Dark Matter 3-Pt Function from the Radiation Era
• Primordial non-Gaussianities and zero bias tracers of the Large Scale Structure
• Lagrangian theory of structure formation in relativistic cosmology III: gravitoelectric perturbation and solution schemes at any order
• Proper-Time Hypersurface of Non-Relativistic Matter Flows: Galaxy Bias in General Relativity
• The observed galaxy bispectrum from single-field inflation in the squeezed limit
• The Intrinsic Matter Bispectrum in $\Lambda$CDM
• The next non-Gaussianity frontier: what can a measurement with $\sigma (f_{\mathrm{NL}})\lesssim 1$ tell us about multifield inflation?
• Cosmology on all scales: a two-parameter perturbation expansion
• Renormalization-group flow of the effective action of cosmological large-scale structures
• Non-linear relativistic contributions to the cosmological weak-lensing convergence
• General Relativistic Corrections to the Weak Lensing Convergence Power Spectrum
• The full CMB temperature bispectrum from single-field inflation
• Newton to Einstein - dust to dust
• Vector perturbations of galaxy number counts
• General relativistic effects in the galaxy bias at second order
• Galilean invariant resummation schemes of cosmological perturbations
• Evolution Equation for Non-linear Cosmological Perturbations
• Relativistic weak lensing from a fully non-linear cosmological density field
• Cosmological nonlinear density and velocity power spectra including nonlinear vector and tensor modes
• Lagrangian theory of structure formation in relativistic cosmology. V. Irrotational fluids
• Relativistic Euler Equations in cosmologies with non-linear structures

Cited by in corpus (20)

• Status, Challenges and Directions in Indirect Dark Matter Searches
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Large Scale Limit of the Observed Galaxy Power Spectrum
• The relativistic galaxy number counts in the weak field approximation
• General Relativistic Cosmological N-body Simulations I: time integration
• GEOMAX: beyond linear compression for 3pt galaxy clustering statistics
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Multi-Scale Perturbation Theory I: Methodology and Leading-Order Bispectrum Corrections in the Matter-Dominated Era
• General relativistic non-ideal fluid equations for dark matter from a truncated cumulant expansion
• From matter to galaxies: General relativistic bias for the one-loop bispectrum
• Contributions from primordial non-Gaussianity and General Relativity to the galaxy power spectrum
• Relativistic matter bispectrum of cosmic structures on the light cone
• Relativistic second-order initial conditions for simulations of large-scale structure
• Including relativistic and primordial Non-Gaussianity contributions in cosmological simulations by modifying the initial condition
• Relativistic and non-Gaussianity contributions to the one-loop power spectrum
• Doppler bias: impact of peculiar velocities on color selection and the large scale structure of galaxy surveys