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While usually cosmological initial conditions are assumed to be Gaussian, inflationary theories can predict a certain amount of primordial non-Gaussianity which can have an impact on the statistical properties of the lensing observables. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 F. Pace , L. Moscardini , M. Bartelmann , E. Branchini , K. Dolag , M. Grossi , S. Matarrese

We investigate the dependence of the mass function of dark-matter haloes on their environment within the cosmic web of large-scale structure. A dependence of the halo mass function on large-scale mean density is a standard element of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 David Alonso , Elizabeth Eardley , John A. Peacock

Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Donghui Jeong , Fabian Schmidt , Christopher M. Hirata

We study the Likelihood function of data given f_NL for the so-called local type of non-Gaussianity. In this case the curvature perturbation is a non-linear function, local in real space, of a Gaussian random field. We compute the…

Astrophysics · Physics 2010-10-27 Paolo Creminelli , Leonardo Senatore , Matias Zaldarriaga

We present constraints on $f_{\rm NL}$, the parameter quantifying the amplitude of local Primordial Non-Gaussianities (PNG), from a combined analysis of the tree-level power spectrum and bispectrum of Data Release $16$ (DR16) of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Marina S. Cagliari , Matilde Barberi-Squarotti , Kevin Pardede , Emanuele Castorina , Guido D'Amico

We report constraints on primordial non-Gaussianity from the abundance of X-ray detected clusters. Our analytic prescription for adding non-Gaussianity to the cluster mass function takes into account moments beyond the skewness, and we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Sarah Shandera , Adam Mantz , David Rapetti , Steven W. Allen

Non-gaussianity in the initial conditions of the universe is one of the most powerful mechanisms to discriminate among the competing theories of the early universe. Measurements using bispectrum of cosmic microwave background anisotropies…

Astrophysics · Physics 2009-02-23 Uros Seljak

A modification of the Press-Schechter theory allowing for presence of a background large-scale structure (LSS) - a supercluster or a void, is proposed. The LSS is accounted as the statistical constraints in form of linear functionals of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 E. P. Kurbatov

We examine the scale dependence of dark matter, halo and galaxy clustering on very large scales (0.01<k[h/Mpc]<0.15), due to non-linear effects from dynamics and halo bias. We pursue a two line offensive: high resolution numerical…

Astrophysics · Physics 2008-11-26 Robert E. Smith , Roman Scoccimarro , Ravi K. Sheth

The scale-dependent bias in halo and galaxy power spectra is a key signature of local primordial non-Gaussianity (local PNG), with PNG sensitivity scaling as $b_\phi/b_1$ -- the ratio of their responses to long-wavelength primordial…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-23 Nhat-Minh Nguyen , Kazuyuki Akitsu , Atsushi Taruya

Halo bias links the statistical properties of the spatial distribution of dark matter halos to those of the underlying dark matter field, providing insights into clustering properties in both general relativity (GR) and modified-gravity…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-20 Jorge Enrique García-Farieta , Antonio D. Montero-Dorta , Andrés Balaguera-Antolínez

We use $N$-body simulations to study halo assembly bias (i.e., the dependence of halo clustering on properties beyond total mass) in the density and primordial non-Gaussianity (PNG) linear bias parameters $b_1$ and $b_\phi$, respectively.…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-20 Titouan Lazeyras , Alexandre Barreira , Fabian Schmidt , Vincent Desjacques

We study constraints on primordial mode-coupling from the power spectrum, squeezed-limit bispectrum and collapsed trispectrum of matter and halos. We describe these statistics in terms of long-wavelength $2$-point functions involving the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-20 Roland de Putter

We study the cosmic variance limit on constraining primordial non-Gaussianity for a variety of theory-motivated shapes. We consider general arguments for 2D and 3D surveys, with a particular emphasis on the CMB. A scale-invariant $N$-point…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-11 Alba Kalaja , P. Daniel Meerburg , Guilherme L. Pimentel , William R. Coulton

We investigate the possibility to detect primordial non-Gaussianity by analysing the bulk of the probability distribution function (PDF) of late-time cosmic density fluctuations. For this purpose we devise a new method to predict the impact…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-02 Oliver Friedrich , Cora Uhlemann , Francisco Villaescusa-Navarro , Tobias Baldauf , Marc Manera , Takahiro Nishimichi

In this note we examine the derivation of scale-dependent bias due to primordial non-Gaussianity of the local type in the context of general relativity. We justify the use of the Poisson equation in general relativistic perturbation theory…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 David Wands , Anze Slosar

Cosmic background neutrinos have a large velocity dispersion, which causes the evolution of long-wavelength density perturbations to depend on scale. This scale-dependent growth leads to the well-known suppression in the linear theory…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-27 Chi-Ting Chiang , Wayne Hu , Yin Li , Marilena LoVerde

We present N-body simulations for generic non-Gaussian initial conditions with the aim of exploring and modelling the scale-dependent halo bias. This effect is evident at very large scales requiring large simulation boxes. In addition, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Christian Wagner , Licia Verde

We study the constraining power on primordial non-Gaussianity of future surveys of the large-scale structure of the Universe for both near-term surveys (such as the Dark Energy Survey - DES) as well as longer term projects such as Euclid…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-25 Tommaso Giannantonio , Cristiano Porciani , Julien Carron , Adam Amara , Annalisa Pillepich

We introduce a non-perturbative method to constrain the amplitude of local-type primordial non-Gaussianity ($f_{\rm NL}$) using squeezed configurations of the CMB lensing convergence and cosmic shear bispectra. First, we use cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-20 Samuel Goldstein , Oliver H. E. Philcox , J. Colin Hill , Angelo Esposito , Lam Hui