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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

The simplest analyses of halo bias assume that halo mass alone determines halo clustering. However, if the large scale environment is fixed, then halo clustering is almost entirely determined by environment, and is almost completely…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Jingjing Shi , Ravi K. Sheth

We investigate the halo bias in the case where the primordial curvature fluctuations, $\Phi$, are sourced from both a Gaussian random field and a Gaussian-squared field, as $\Phi({\bf x}) = \phi({\bf x}) + \psi({\bf x})^2 - <\psi({\bf…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Shuichiro Yokoyama

We estimate the halo mass function (HMF) by applying the excursion set approach to the non-linear cosmic density field. Thereby, we account for the non-Gaussianity of today's density distribution and constrain the HMF independent of the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-25 Laila Linke , Johannes Schwinn , Matthias Bartelmann

The excursion set approach provides a framework for predicting how the abundance of dark matter halos depends on the initial conditions. A key ingredient of this formalism comes from the physics of halo formation: the specification of a…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-12 I. Achitouv , Y. Rasera , R. K. Sheth , P. S. Corasaniti

We investigate the gravitational effect of large-scale radiation perturbations on small-scale structure formation. In addition to making the growth of matter perturbations scale dependent, the free-streaming of radiation also affects the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 Charuhas Shiveshwarkar , Drew Jamieson , Marilena Loverde

With the advent of large scale galaxy surveys, constraints on primordial non-Gaussianity (PNG) are expected to reach ${\cal O}(f_\text{NL}) \sim 1$. In order to fully exploit the potential of these future surveys, a deep theoretical…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-16 Matteo Biagetti , Vincent Desjacques

Different properties of dark matter haloes, including growth rate, concentration, interaction history, and spin, correlate with environment in unique, scale-dependent ways. While these halo properties are not directly observable, galaxies…

Astrophysics of Galaxies · Physics 2022-01-24 Peter Behroozi , Andrew Hearin , Benjamin P. Moster

Excursion set theory is a powerful and widely used tool for describing the distribution of dark matter haloes, but it is normally applied with simplifying approximations. We use numerical sampling methods to study the mass functions…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-29 M. Sten Delos

Models of galaxy and halo clustering commonly assume that the tracers can be treated as a continuous field locally biased with respect to the underlying mass distribution. In the peak model pioneered by BBKS, one considers instead density…

Cosmology and Nongalactic Astrophysics · Physics 2010-12-23 Vincent Desjacques , Martin Crocce , Roman Scoccimarro , Ravi K. Sheth

The two-point clustering of dark matter halos is influenced by halo properties besides mass, a phenomenon referred to as halo assembly bias. Using the depth of the gravitational potential well, $V_{\rm max}$, as our secondary halo property,…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Tomomi Sunayama , Andrew P. Hearin , Nikhil Padmanabhan , Alexie Leauthaud

Primordial non-Gaussianity, in particular the coupling of modes with widely different wavelengths, can have a strong impact on the large-scale clustering of tracers through a scale-dependent bias with respect to matter. We demonstrate that…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-26 Fabian Schmidt

We consider whether the non-Gaussian scale-dependent halo bias can be used not only to constrain the local form of non-Gaussianity but also to distinguish among different shapes. In particular, we ask whether it can constrain the behavior…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Jorge Noreña , Licia Verde , Gabriela Barenboim , Cristian Bosch

We present a new method that simultaneously solves for cosmology and galaxy bias on non-linear scales. The method uses the halo model to analytically describe the (non-linear) matter distribution, and the conditional luminosity function…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Frank van den Bosch , Surhud More , Marcello Cacciato , Houjun Mo , Xiaohu Yang

We present several methods to accurately estimate Lagrangian bias parameters and substantiate them using simulations. In particular, we focus on the quadratic terms, both the local and the non local ones, and show the first clear evidence…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-01 Chirag Modi , Emanuele Castorina , Uros Seljak

The halo model provides a powerful framework for interpreting galaxy clustering by linking the spatial distribution of dark matter haloes to the underlying matter distribution. A key assumption within the halo bias approximation of the halo…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Emy Mons , Vipul Prasad Maranchery , M. S. Suryan Sivadas , Charles Jose

Recent results of N-body simulations have shown that current theoretical models are not able to correctly predict the amplitude of the scale-dependent halo bias induced by primordial non-Gaussianity, for models going beyond the simplest,…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Vincent Desjacques , Donghui Jeong , Fabian Schmidt

We show how correlated steps introduces significant contributions to the modification of the halo mass function in modified gravity models, taking the chameleon models as an example, in the framework of the excursion set approach. This…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-24 Tsz Yan Lam , Baojiu Li

Halo bias is the main link between the matter distribution and dark matter halos. In its simplest form, halo bias is determined by halo mass, but there are known additional dependencies on other halo properties which are of consequence for…

Astrophysics of Galaxies · Physics 2019-05-29 Gabriela Sato-Polito , Antonio D. Montero-Dorta , L. Raul Abramo , Francisco Prada , Anatoly Klypin

Marked statistics allow sensitive tests of how galaxy properties correlate with environment, as well as of how correlations between galaxy properties are affected by environment. A halo-model description of marked correlations is developed,…

Astrophysics · Physics 2009-11-16 Ravi K. Sheth