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In this article, we show that a stochastic form of scale-dependent halo bias arises in multi-source inflationary models, where multiple fields determine the initial curvature perturbation. We derive this effect for general non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-14 Daniel Baumann , Simone Ferraro , Daniel Green , Kendrick M. Smith

We compare reduced three-point correlations $Q$ of matter, haloes (as proxies for galaxies) and their cross correlations, measured in a total simulated volume of $\sim100 \ (h^{-1} \text{Gpc})^{3}$, to predictions from leading order…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-07 Kai Hoffmann , Enrique Gaztanaga , Roman Scoccimarro , Martin Crocce

We study the relation between the halo and matter density fields -- commonly termed bias -- in the LCDM framework. In particular, we examine the local model of biasing at quadratic order in the matter density. This model is characterized by…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Jennifer E. Pollack , Robert E. Smith , Cristiano Porciani

Distribution of galaxies may be a biased tracer of the dark matter distribution and the relation between the galaxies and the total mass may be stochastic, non-linear and time-dependent. Since many observations of galaxy clustering will be…

Astrophysics · Physics 2009-10-31 Atsushi Taruya

We use the halo model formalism to provide expressions for cluster abundances and bias, as well as estimates for the correlation matrix between these observables. Off-diagonal elements due to scatter in the mass tracer scaling with mass are…

Astrophysics · Physics 2011-05-12 Eduardo Rozo , Scott Dodelson , Joshua A. Frieman

The excursion set approach allows one to estimate the abundance and spatial distribution of virialized dark matter haloes efficiently and accurately. The predictions of this approach depend on how the nonlinear processes of collapse and…

Astrophysics · Physics 2009-11-06 Ravi K. Sheth , Giuseppe Tormen

The size distribution of ionized regions during the epoch of reionization -- a key ingredient in understanding the HI power spectrum observable by 21cm experiments -- can be modelled analytically using the excursion set formalism of random…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Aseem Paranjape , T. Roy Choudhury

I discuss fluctuations in the neutral hydrogen (HI) density of the z~2.3 intergalactic medium and show that their relation to cosmic overdensity is strongly scale-dependent. This behaviour arises from a linearized version of the well-known…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Andrew Pontzen

Corrections induced by primordial non-Gaussianity to the linear halo bias can be computed from a peak-background split or the widespread local bias model. However, numerical simulations clearly support the prediction of the former, in which…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Vincent Desjacques , Jinn-Ouk Gong , Antonio Riotto

We investigate the spatial clustering of dark matter halos, collapsing from $1-4 \sigma$ fluctuations, in the redshift range $0 - 5$ using N-body simulations. The halo bias of high redshift halos ($z \geq 2$) is found to be strongly…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-19 Charles Jose , Cedric G. Lacey , Carlton M. Baugh

We study the environmental dependence of the formation epoch of dark matter haloes in the Millennium Simulation: a ten billion particle N-body simulation of standard LambdaCDM cosmology. A sensitive test of this dependence - the marked…

Astrophysics · Physics 2011-09-30 Geraint Harker , Shaun Cole , John Helly , Carlos Frenk , Adrian Jenkins

The Press--Schechter, excursion set approach allows one to make predictions about the shape and evolution of the mass function of bound objects. It combines the assumption that objects collapse spherically with the assumption that the…

Astrophysics · Physics 2008-11-26 Ravi K. Sheth , H. J. Mo , Giuseppe Tormen

We analyze scale dependence of redshift space bias $b$ and $\beta \equiv \Omega_m^{0.6}/b$ in the context of the halo model. We show that linear bias is a good approximation only on large scales, for $k<0.1h$Mpc$^{-1}$. On intermediate…

Astrophysics · Physics 2009-10-31 Uros Seljak

We investigate three potential sources of bias in distance estimations made assuming that a very simple estimator of the baryon acoustic oscillation (BAO) scale provides a standard ruler. These are the effects of the non-linear evolution of…

Astrophysics · Physics 2008-11-26 Jacek Guzik , Gary Bernstein , Robert E. Smith

We study the scale-dependence of halo bias in generic (non-local) primordial non-Gaussian (PNG) initial conditions of the type motivated by inflation, parametrized by an arbitrary quadratic kernel. We first show how to generate non-local…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Roman Scoccimarro , Lam Hui , Marc Manera , K. C. Chan

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

The baryon acoustic oscillation (BAO) feature in the 2-point clustering of biased tracers in redshift space can be described in a model-agnostic manner, relying only on the assumption that nonlinear growth approximately smears this feature…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 Aseem Paranjape , Ravi K. Sheth

Using dark matter simulations we show how halo bias is determined by local density and not by halo mass. This is not totally surprising, as according to the peak-background split model, local density is the property that constraints bias at…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Arnau Pujol , Kai Hoffmann , Noelia Jiménez , Enrique Gaztañaga

We investigate the effects of halo shape and its alignment with larger scale structure on the galaxy correlation function. We base our analysis on the galaxy formation models of Guo et al., run on the Millennium Simulations. We quantify the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Marcel P. van Daalen , Raul E. Angulo , Simon D. M. White

We generalize the local model of primordial non-Gaussianity by promoting the parameter fNL to a general scale-dependent function fNL(k). We calculate the resulting bispectrum and the effect on the bias of dark matter halos, and thus the…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-18 Adam Becker , Dragan Huterer , Kenji Kadota
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