A revisited Correction to the Halo Mass Function for local-type Primordial non-Gaussianity

Abstract

We investigate the effect of primordial non-Gaussianities on halo number counts using N-body simulations with different values of $f_{\mathrm{NL}}^{\mathrm{loc}}$. We show how current theoretical models fail to adequately describe the non-Gaussian mass function of halos identified with different overdensity thresholds, ${\Delta }_{\mathrm{b}}$. We explain how these discrepancies are related to a variation in the density profile of dark matter halos, finding that the internal steepness (i.e. the compactness) of halos depends on the value of $f_{\mathrm{NL}}^{\mathrm{loc}}$. We then parametrize these deviations in halo number counts with a factor $\kappa ({\Delta }_{\mathrm{b}})$ that modifies the linear density threshold for collapse according to the halo identification threshold used, defined with respect to the Universe background density. We rely on a second-degree polynomial to describe $\kappa$ and employ a Bayesian analysis to determine the coefficients of this polynomial. In addition, we verify the independence of the latter on the sign and absolute value of $f_{\mathrm{NL}}^{\mathrm{loc}}$. Finally, we show how this re-parametrization prevents the extraction of biased constraints on $f_{\mathrm{NL}}^{\mathrm{loc}}$, correcting for large systematic errors especially in the case of halos identified with high density thresholds. This improvement is crucial in the perspective of deriving cosmological constraints with the non-Gaussian mass function from real data, as different mass definitions can be employed depending on the properties of the survey.

29 pages, 9 figures

References in corpus (73)

• Array Programming with NumPy
• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The cosmological simulation code GADGET-2
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Large scale bias and the peak background split
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Toward a halo mass function for precision cosmology: the limits of universality
• Mass function of dark matter halos
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Non-Gaussianity from Inflation: Theory and Observations
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Cosmology and Fundamental Physics with the Euclid Satellite
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Second-Order Cosmological Perturbations from Inflation
• Transients from Initial Conditions in Cosmological Simulations
• Single field consistency relation for the 3-point function
• Precision Determination of the Mass Function of Dark Matter Halos
• Euclid. I. Overview of the Euclid mission
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Constraints on local primordial non-Gaussianity from large scale structure
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Primordial non-gaussianities in single field inflation
• 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
• The Quijote simulations
• Primordial non-gaussianities from multiple-field inflation
• The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
• The halo mass function through the cosmic ages
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Halo mass function and scale-dependent bias from N-body simulations with non-Gaussian initial conditions
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space
• The Halo Mass Function from Excursion Set Theory. II. The Diffusing Barrier
• Tests for primordial non-Gaussianity
• The Halo Mass Function from Excursion Set Theory. III. Non-Gaussian Fluctuations
• Detecting Neutrino Mass by Combining Matter Clustering, Halos, and Voids
• Arguments against using $h^{-1}\mathrm{Mpc}$ units in observational cosmology
• Evolution of Massive Haloes in non-Gaussian Scenarios
• N-body simulations with generic non-Gaussian initial conditions I: Power Spectrum and halo mass function
• Inflation: Theory and Observations
• CosmoBolognaLib: C++ libraries for cosmological calculations
• The GIGANTES dataset: precision cosmology from voids in the machine learning era
• High-Resolution Simulations of Cosmic Microwave Background non-Gaussian Maps in Spherical Coordinates
• N-body simulations with generic non-Gaussian initial conditions II: Halo bias
• Galaxy bias and primordial non-Gaussianity: insights from galaxy formation simulations with IllustrisTNG
• Designing an Inflation Galaxy Survey: how to measure $\sigma (f_{\mathrm{NL}})\sim 1$ using scale-dependent galaxy bias
• Euclid: Cosmological forecasts from the void size function
• Nonlinear clustering in models with primordial non-Gaussianity: the halo model approach
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Limits on primordial non-Gaussianities from BOSS galaxy-clustering data
• Quijote-PNG: Simulations of primordial non-Gaussianity and the information content of the matter field power spectrum and bispectrum
• An Improved Calculation of the Non-Gaussian Halo Mass Function
• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
• Constraining primordial non-Gaussianity from DESI quasar targets and Planck CMB lensing
• The next non-Gaussianity frontier: what can a measurement with $\sigma (f_{\mathrm{NL}})\lesssim 1$ tell us about multifield inflation?
• Exploring the cosmological synergy between galaxy cluster and cosmic void number counts
• PNG-UNITsims: Halo clustering response to primordial non-Gaussianities as a function of mass
• Taming assembly bias for primordial non-Gaussianity
• Scale dependent bias from primordial non-Gaussianity with trispectrum
• Quijote-PNG: The Information Content of the Halo Mass Function
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• Modification of the halo mass function by kurtosis associated with primordial non-Gaussianity