A Consistency Relation for the Observed Galaxy Bispectrum and the Local non-Gaussianity from Relativistic Corrections

Abstract

We obtain a consistency relation for the observed three-point correlator of galaxies. It includes relativistic effects and it is valid in the squeezed limit. Furthermore, the consistency relation is non-perturbative and can be used at arbitrarily small scales for the short modes. Our results are also useful to compute the non-linear relativistic corrections which induce a signal in the observations that might be misinterpreted as primordial non-Gaussianity with a local shape. We estimate the effective local non-Gaussianity parameter from the relativistic corrections. The exact value depends on the redshift and the magnification bias. At redshift of $z=1$, in the absence of magnification bias, we get $f_{\mathrm{NL}}^{\mathrm{GR}}\simeq -3.7$.

18 pages, 2 figures

References in corpus (7)

• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Galaxy number counts to second order and their bispectrum
• Soft-Pion Theorems for Large Scale Structure
• CMB Anisotropies from a Gradient Mode
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit

Cited by in corpus (39)

• On Separate Universes
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• The observed galaxy power spectrum in General Relativity
• The bispectrum of relativistic galaxy number counts
• Curvature constraints from Large Scale Structure
• How Gaussian can our Universe be?
• Magnification and evolution biases in large-scale structure surveys
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Relativistic wide-angle galaxy bispectrum on the light-cone
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• The Full-Sky Angular Bispectrum in Redshift Space
• Detecting the relativistic galaxy bispectrum
• Detecting the relativistic bispectrum in 21cm intensity maps
• The observed galaxy bispectrum from single-field inflation in the squeezed limit
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• Imprints of local lightcone projection effects on the galaxy bispectrum. II
• Higher order relativistic galaxy number counts: dominating terms
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• Possible Signatures of Inflationary Particle Content: Spin-2 Fields
• Constraining primordial non-Gaussianity by combining next-generation galaxy and 21 cm intensity mapping surveys
• Relativistic cosmological large scale structures at one-loop
• A non-perturbative test of consistency relations and their violation
• Full-sky bispectrum in redshift space for 21cm intensity maps
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Imprints of local lightcone projection effects on the galaxy bispectrum IV: Second-order vector and tensor contributions
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Large-scale imprint of relativistic effects in the cosmic magnification
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• Covariant Decomposition of The Non-Linear Galaxy Number Counts and Their Monopole
• Decoupling Local Primordial non-Gaussianity from Relativistic Effects in the Galaxy Bispectrum
• From matter to galaxies: General relativistic bias for the one-loop bispectrum
• Long gradient mode and large-scale structure observables
• Relativistic second-order initial conditions for simulations of large-scale structure
• $\delta N$ formalism on the past light-cone
• A Simple, Exact Formulation of Number Counts in the Geodesic-Light-Cone Gauge
• Multi-wavelength spectroscopic probes: prospects for primordial non-Gaussianity and relativistic effects
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects