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This review presents a comprehensive overview of galaxy bias, that is, the statistical relation between the distribution of galaxies and matter. We focus on large scales where cosmic density fields are quasi-linear. On these scales, the…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-15 Vincent Desjacques , Donghui Jeong , Fabian Schmidt

We investigate the expected cosmological constraints from a combination of weak lensing and large-scale galaxy clustering using realistic redshift distributions. Introducing a systematic bias in the weak lensing redshift distributions (of…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 S Samuroff , MA Troxel , SL Bridle , J Zuntz , N MacCrann , E Krause , T Eifler , D Kirk

The greatest challenge in the interpretation of galaxy clustering data from any surveys is galaxy bias. Using a simple Fisher matrix analysis, we show that the bispectrum provides an excellent determination of linear and non-linear bias…

Astrophysics · Physics 2008-11-26 Emiliano Sefusatti , Eiichiro Komatsu

We compute the bispectrum of the 2dF Galaxy Redshift Survey (2dFGRS) and use it to measure the bias parameter of the galaxies. This parameter quantifies the strength of clustering of the galaxies relative to the mass in the Universe. By…

We quantify the degree of nonlinearity and stochasticity of the clustering of biased objects, using cosmological N-body simulations. Adopting the peaks and the halos as representative biasing models, we focus on the two-point correlation of…

Astrophysics · Physics 2015-06-24 A. Taruya , H. Magira , Y. P. Jing , Y. Suto

We study the linear and non-linear bias parameters which determine the mapping between the distributions of galaxies and the full matter density fields, comparing different measurements and predictions. Associating galaxies with dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Kai Hoffmann , Julien Bel , Enrique Gaztanaga

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

We forecast the benefits induced by adding the bispectrum anisotropic signal to the standard, two- and three-point, clustering statistics analysis. In particular, we forecast cosmological parameter constraints including the bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-22 Davide Gualdi , Licia Verde

The redshift dependence of the abundance of galaxy clusters is very sensitive to the statistical properties of primordial density perturbations. It can thus be used to probe small deviations from Gaussian initial conditions. Such deviations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 A. M. M. Trindade , P. P. Avelino , P. T. P. Viana

We use the Fisher-matrix formalism to investigate whether the galaxy bispectrum in redshift space, $B$, contains additional cosmological information with respect to the power spectrum, $P$. We focus on a $Euclid$-like survey and consider…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-10 Victoria Yankelevich , Cristiano Porciani

In this paper, we motivate the use of galaxy clustering measurements using photometric redshift information, including a contribution from flux magnification, as a probe of cosmology. We present cosmological forecasts when clustering data…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Christopher Duncan , Benjamin Joachimi , Alan Heavens , Catherine Heymans , Hendrik Hildebrandt

We use N-body simulations to test the predictions of the redshift distortion in the power spectrum given by the halo model in which the clustering of dark matter particles is considered as a result both of the clustering of dark halos in…

Astrophysics · Physics 2009-11-07 Xi. Kang , Y. P. Jing , H. J. Mo , G. Borner

It was recently shown that the power spectrum in redshift space can be written as a sum of cross-power spectra between number weighted velocity moments. We investigate the properties of these power spectra for simulated galaxies and dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Teppei Okumura , Uros Seljak , Vincent Desjacques

We present a theoretical and exact analysis of the bispectrum of projected galaxy catalogues. The result can be generalized to evaluate the projection in spherical harmonics of any 3D bispectrum and therefore has applications to cosmic…

Astrophysics · Physics 2015-06-24 Licia Verde , Alan F. Heavens , Sabino Matarrese

We present a simple method for evaluating the nonlinear biasing function of galaxies from a redshift survey. The nonlinear biasing is characterized by the conditional mean of the galaxy density fluctuation given the underlying mass density…

Astrophysics · Physics 2009-10-31 Yair Sigad , Enzo Branchini , Avishai Dekel

Redshift-space distortions (RSD), caused by the peculiar velocities of galaxies, are a key modelling challenge in galaxy clustering analyses, limiting the scales from which cosmological information can be reliably extracted. Unlike…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-31 Alexander Eggemeier , Nanoom Lee , Román Scoccimarro , Benjamin Camacho-Quevedo , Andrea Pezzotta , Martin Crocce , Ariel G. Sánchez

We present an improved prescription for matter power spectrum in redshift space taking a proper account of both the non-linear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Atsushi Taruya , Takahiro Nishimichi , Shun Saito

I describe a general formalism for galaxy biasing (Dekel & Lahav 1998) and its application to measurements of beta (=Omega^0.6/b), e.g. via direct comparisons of light and mass and via redshift distortions. The linear and deterministic…

Astrophysics · Physics 2007-05-23 Avishai Dekel

We study the power spectrum of galaxies in redshift space, with third order perturbation theory to include corrections that are absent in linear theory. We assume a local bias for the galaxies: i.e. the galaxy density is sampled from some…

Astrophysics · Physics 2009-10-30 A. F. Heavens , S. Matarrese , L. Verde

Future galaxy clustering surveys will probe small scales where non-linearities become important. Since the number of modes accessible on intermediate to small scales is very high, having a precise model at these scales is important…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Mona Jalilvand , Basundhara Ghosh , Elisabetta Majerotto , Benjamin Bose , Ruth Durrer , Martin Kunz