Non-local bias in the halo bispectrum with primordial non-Gaussianity

Abstract

Primordial non-Gaussianity can lead to a scale-dependent bias in the density of collapsed halos relative to the underlying matter density. The galaxy power spectrum already provides constraints on local-type primordial non-Gaussianity complementary those from the cosmic microwave background (CMB), while the bispectrum contains additional shape information and has the potential to outperform CMB constraints in future. We develop the bias model for the halo density contrast in the presence of local-type primordial non-Gaussianity, deriving a bivariate expansion up to second order in terms of the local linear matter density contrast and the local gravitational potential in Lagrangian coordinates. Non-linear evolution of the matter density introduces a non-local tidal term in the halo model. Furthermore, the presence of local-type non-Gaussianity in the Lagrangian frame leads to a novel non-local convective term in the Eulerian frame, that is proportional to the displacement field when going beyond the spherical collapse approximation. We use an extended Press-Schechter approach to evaluate the halo mass function and thus the halo bispectrum. We show that including these non-local terms in the halo bispectra can lead to corrections of up to $25\%$ for some configurations, on large scales or at high redshift.

arXiv comment31 pages, 10 figures. v2: minor revision, references added, version to appear in JCAP

References in corpus (93)

• Large scale bias and the peak background split
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• An analytic model for the spatial clustering of dark matter haloes
• Non-Gaussianity from Inflation: Theory and Observations
• Using the Evolution of Clusters to Constrain Omega
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Constraints on local primordial non-Gaussianity from large scale structure
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Biasing and Hierarchical Statistics in Large-scale Structure
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The effect of primordial non-Gaussianity on halo bias
• Large-scale structure, the cosmic microwave background, and primordial non-gaussianity
• Measuring primordial non-gaussianity without cosmic variance
• Gravity and Large-Scale Non-local Bias
• Semi-analytic predictions for statistical properties of X-ray clusters of galaxies in cold dark matter universes
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• Non-Gaussianity in the modulated reheating scenario
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• The Bispectrum of IRAS Galaxies
• Minimizing the stochasticity of halos in large-scale structure surveys
• The bias field of dark matter haloes
• Constraining primordial non-Gaussianity with future galaxy surveys
• The Clustering of Galaxies in SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Constraints on Primordial Non-Gaussianity
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• A Fitting Formula for the Non-Linear Evolution of the Bispectrum
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• How to suppress the shot noise in galaxy surveys
• Improved Primordial Non-Gaussianity Constraints from Measurements of Galaxy Clustering and the Integrated Sachs-Wolfe Effect
• Local non-Gaussianity from inflation
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• Non-local Lagrangian bias
• An improved fitting formula for the dark matter bispectrum
• Statistical Analysis of Galaxy Surveys-II. The 3-point galaxy correlation function measured from the 2dFGRS
• The WiggleZ Dark Energy Survey: constraining galaxy bias and cosmic growth with 3-point correlation functions
• Radio Galaxy populations and the multi-tracer technique: pushing the limits on primordial non-Gaussianity
• Non-Gaussian Halo Bias Re-examined: Mass-dependent Amplitude from the Peak-Background Split and Thresholding
• The Three-point Correlation Function of Galaxies Determined from the Las Campanas Redshift Survey
• Near optimal bispectrum estimators for large-scale structure
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies II: cosmological interpretation
• The Three-point Correlation Function of Galaxies Determined from the 2dF Galaxy Redshift Survey
• Non-Gaussianity of quantum fields during inflation
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Stochastic Bias from Non-Gaussian Initial Conditions
• Primordial Non-Gaussianity and the NRAO VLA Sky Survey
• Constraining Primordial Non-Gaussianity with High-Redshift Probes
• Accurate Predictions for the Scale-Dependent Galaxy Bias from Primordial Non-Gaussianity
• Calibration errors unleashed: effects on cosmological parameters and requirements for large-scale structure surveys
• Three-Point Correlation Functions of SDSS Galaxies: Constraining Galaxy-Mass Bias
• Sloan Digital Sky Survey III Photometric Quasar Clustering: Probing the Initial Conditions of the Universe using the Largest Volume
• Designing an Inflation Galaxy Survey: how to measure $\sigma (f_{\mathrm{NL}})\sim 1$ using scale-dependent galaxy bias
• The Large-Scale 3-point correlation function of SDSS Luminous Red Galaxies
• Exploiting the full potential of photometric quasar surveys: Optimal power spectra through blind mitigation of systematics
• Using correlations between CMB lensing and large-scale structure to measure primordial non-Gaussianity
• Two Ways of Biasing Galaxy Formation
• Constraining primordial non-Gaussianity via a multitracer technique with surveys by Euclid and Square Kilometre Array
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Non-Gaussian initial conditions in $\Lambda$CDM: Newtonian, relativistic and primordial contributions
• Systematic effects in large-scale angular power spectra of photometric quasars and implications for constraining primordial nongaussianity
• Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity
• Halo clustering and g_{NL}-type primordial non-Gaussianity
• Probing primordial non-Gaussianity via iSW measurements with SKA continuum surveys
• Testing standard perturbation theory and the Eulerian local biasing scheme against N-body simulations
• Reducing sample variance: halo biasing, non-linearity and stochasticity
• Einstein's signature in cosmological large-scale structure
• The Matter Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Search for primordial non-Gaussianity in the quasars of SDSS-III BOSS DR9
• A new method to measure galaxy bias
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Scale dependent bias from primordial non-Gaussianity with trispectrum
• Characterizing unknown systematics in large scale structure surveys
• Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)
• Can we really measure fnl from the galaxy power spectrum?
• Testing Multi-Field Inflation with Galaxy Bias
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field

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