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.

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

References in corpus (24)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• Measuring primordial non-gaussianity without cosmic variance
• Gravity and Large-Scale Non-local Bias
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• 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
• 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
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• How to suppress the shot noise in galaxy surveys
• Constraints on primordial non-Gaussianity from 800,000 photometric quasars
• Non-local Lagrangian bias
• Near optimal bispectrum estimators for large-scale structure
• Primordial Non-Gaussianity and the NRAO VLA Sky Survey
• Constraining Primordial Non-Gaussianity with High-Redshift Probes
• Exploiting the full potential of photometric quasar surveys: Optimal power spectra through blind mitigation of systematics
• Constraining primordial non-Gaussianity via a multitracer technique with surveys by Euclid and Square Kilometre Array
• Probing primordial non-Gaussianity via iSW measurements with SKA continuum surveys
• Reducing sample variance: halo biasing, non-linearity and stochasticity
• Einstein's signature in cosmological large-scale structure
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field

Cited by in corpus (13)

• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• Detecting the relativistic bispectrum in 21cm intensity maps
• Bispectrum-window convolution via Hankel transform
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• Wide-angle effects in the galaxy bispectrum
• Consistency Relations in Effective Field Theory
• Decoupling Local Primordial non-Gaussianity from Relativistic Effects in the Galaxy Bispectrum
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• Precision calculation of the EFT likelihood with primordial non-Gaussianities