Consistency Relations in Effective Field Theory

Abstract

The consistency relations in large scale structure relate the lower-order correlation functions with their higher-order counterparts. They are direct outcome of the underlying symmetries of a dynamical system and can be tested using data from future surveys such as Euclid. Using techniques from standard perturbation theory (SPT), previous studies of consistency relation have concentrated on continuity-momentum (Euler)-Poisson system of an ideal fluid. We investigate the consistency relations in effective field theory (EFT) which adjusts the SPT predictions to account for the departure from the ideal fluid description on small scales. We provide detailed results for the 3D density contrast $\delta$ as well as the {\em scaled} divergence of velocity $\bar{\theta }$. Assuming a $\Lambda$CDM background cosmology, we find the correction to SPT results becomes important at $k\gtrsim 0.05h/Mpc$ and that the suppression from EFT to SPT results that scales as square of the wave number $k$, can reach $40\%$ of the total at $k\approx 0.25h/Mpc$ at $z=0$. We have also investigated whether effective field theory corrections to models of primordial non-Gaussianity can alter the squeezed limit behaviour, finding the results to be rather insensitive to these counterterms. In addition, we present the EFT corrections to the squeezed limit of the bispectrum in redshift space which may be of interest for tests of theories of modified gravity.

23 pages + bibliography, 6 figures. Minor changes to match version accepted for publication by JCAP

References in corpus (88)

• The cosmological simulation code GADGET-2
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• Halo Models of Large Scale Structure
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Renormalized Cosmological Perturbation Theory
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• 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
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Fingers of God
• Fluid Dark Matter
• Non-Linear Evolution of the Bispectrum of Cosmological Perturbations
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• The IR-resummed Effective Field Theory of Large Scale Structures
• A critical look at cosmological perturbation theory techniques
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Single-Field Consistency Relations of Large Scale Structure
• Large-scale bias in the Universe: bispectrum method
• The Bispectrum: From Theory to Observations
• Resumming Cosmic Perturbations
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• The Effective Field Theory of Large Scale Structures at Two Loops
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• The Bispectrum of IRAS Galaxies
• On the Renormalization of the Effective Field Theory of Large Scale Structures
• A Lagrangian effective field theory
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• Dark matter clustering: a simple renormalization group approach
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• The nonlinear redshift-space power spectrum of galaxies
• On the Velocity in the Effective Field Theory of Large Scale Structures
• An improved fitting formula for the dark matter bispectrum
• The WiggleZ Dark Energy Survey: constraining galaxy bias and cosmic growth with 3-point correlation functions
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
• Coarse-Grained Cosmological Perturbation Theory
• The 3-point function in large scale structure: redshift distortions and galaxy bias
• A New Approach to Probing Primordial Non-Gaussianity
• Constructing Regularized Cosmic Propagators
• Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
• Non-Linear Approximations to Gravitational Instability: A Comparison in the Quasi-Linear Regime
• The Three-point Correlation Function of Galaxies Determined from the 2dF Galaxy Redshift Survey
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
• Towards an Optimal Reconstruction of Baryon Oscillations
• Baryonic Acoustic Oscillations via the Renormalization Group
• Redshift-space distortions with wide angular separations
• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• The Three-point Correlation Function of Galaxies: Comparing Halo Occupation Models with Observations
• The Bispectrum of f(R) Cosmologies
• Maximum Likelihood Estimates of the Two- and Three-Dimensional Power Spectra of the APM Galaxy Survey
• Rapid Separable Analysis of Higher Order Correlators in Large Scale Structure
• Third-order Perturbation Theory With Non-linear Pressure
• Ward identities and consistency relations for the large scale structure with multiple species
• Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear
• Matter bispectrum in cubic Galileon cosmologies
• Signatures of Horndeski gravity on the Dark Matter Bispectrum
• Testing standard perturbation theory and the Eulerian local biasing scheme against N-body simulations
• Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS Sample
• Kinematic consistency relations of large-scale structures
• Renormalized Newtonian Cosmic Evolution with Primordial Non-Gaussianity
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure
• Universal Non-Gaussian Initial Conditions for N-body Simulations
• Three-Point Correlations in f(R) Models of Gravity
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• Characteristic Scales of Baryon Acoustic Oscillations from Perturbation Theory: Non-linearity and Redshift-Space Distortion Effects
• Three-point phase correlations: A new measure of non-linear large-scale structure
• Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
• The Integrated Bispectrum and Beyond
• Effects of Linear Redshift Space Distortions and Perturbation Theory on BAOs: A 3D Spherical Analysis
• Lifting Primordial Non-Gaussianity Above the Noise
• The Integrated Bispectrum in Modified Gravity Theories
• Galaxy Clustering in 3D and Modified Gravity Theories
• Non-Linear Approximations to Gravitational Instability: A Comparison in Second-Order Perturbation Theory
• Cross-correlations of the Lyman-alpha forest with weak lensing convergence I: Analytical Estimates of S/N and Implications for Neutrino Mass and Dark Energy
• Consistency relations for large scale structures with primordial non-Gaussianities
• Non-zero density-velocity consistency relations for large scale structures
• Exact Third-Order Density Perturbation and One-Loop Power Spectrum in General Dark Energy Models
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics

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• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Evolution of dark matter velocity dispersion
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Weak Lensing Skew-Spectrum
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers
• A New Estimator for Phase Statistics
• Stable Clustering Ansatz, Consistency Relations and Gravity Dual of Large-Scale Structure