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We present a derivation of the cosmological distance-redshift relation up to second order in perturbation theory. In addition, we find the observed redshift and the lensing magnification to second order. We do not require that the density…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Obinna Umeh , Chris Clarkson , Roy Maartens

Recently the galaxy matter density 4-point correlation function has been looked at to investigate parity violation in large scale structure surveys. The 4-point correlation function is the lowest order statistic which is sensitive to parity…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Pritha Paul , Chris Clarkson , Roy Maartens

We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-20 Cristiano G. Sabiu , David F. Mota , Claudio Llinares , Changbom Park

We develop a model for the redshift-space correlation function, valid for both dark matter particles and halos on scales $>5\,h^{-1}$Mpc. In its simplest formulation, the model requires the knowledge of the first three moments of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-08 Davide Bianchi , Will J. Percival , Julien Bel

The observed power spectrum in redshift space appears distorted due to the peculiar motion of galaxies, known as redshift-space distortions (RSD). While all the effects in RSD are accounted for by the simple mapping formula from real to…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Yong-Seon Song , Yi Zheng , Atsushi Taruya , Minji Oh

The simplest theory describing large-scale redshift-space distortions (RSD), based on linear theory and distant galaxies, depends on the growth of cosmological structure, suggesting that strong tests of General Relativity can be constructed…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-18 Lado Samushia , Will J. Percival , Alvise Raccanelli

The distribution of galaxies provides an ideal laboratory to test for deviations from General Relativity. In particular, redshift-space distortions are commonly used to constrain modifications to the Poisson equation, which governs the…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 Sveva Castello , Nastassia Grimm , Camille Bonvin

We compute the redshift-dependent angular bispectrum of galaxy number counts at tree-level, including nonlinear clustering bias and estimating numerically for the first time the effect of redshift space distortions (RSD). We show that for…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-30 Enea Di Dio , Ruth Durrer , Roy Maartens , Francesco Montanari , Obinna Umeh

Many physical properties of galaxies correlate with one another, and these correlations are often used to constrain galaxy formation models. Such correlations include the color-magnitude relation, the luminosity-size relation, the…

Astrophysics · Physics 2009-11-13 Graziano Rossi , Ravi K. Sheth

We consider a situation where the density and peculiar velocities in real space are linear, and we calculate \xi_s the two-point correlation function in redshift space, incorporating all non-linear effects which arise as a consequence of…

Astrophysics · Physics 2009-11-06 Somnath Bharadwaj

Next generation surveys will be capable of determining cosmological parameters beyond percent level. To match this precision, theoretical descriptions should look beyond the linear perturbations to approximate the observables in large scale…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-11 Jorge L. Fuentes , Juan Carlos Hidalgo , Karim A. Malik

We provide a formula for extracting the value of the rms of the linear matter fluctuations on a scale R directly from redshift surveys data. It allows to constrain the real-space amplitude of sigma_R without requiring any modeling of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 J. Bel , C. Marinoni

Kaiser redshift-space distortion formula describes well the clustering of galaxies in redshift surveys on small scales, but there are numerous additional terms that arise on large scales. Some of these terms can be described using Newtonian…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Jaiyul Yoo , Nico Hamaus , Uros Seljak , Matias Zaldarriaga

The bispectrum of galaxy number counts is a key probe of large-scale structure, offering insights into the initial conditions of the Universe, the nature of gravity, and cosmological parameters. In this work, we present the first full-sky…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Thomas Montandon , Enea Di Dio , Cornelius Rampf , Julian Adamek

Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge…

High Energy Physics - Theory · Physics 2009-09-28 Robert de Mello Koch , Tanay K. Dey , Norman Ives , Michael Stephanou

Improving the theoretical description of galaxy clustering on small scales is an important challenge in cosmology, as it can considerably increase the scientific return of forthcoming galaxy surveys -- e.g. tightening the bounds on neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Marcos Pellejero-Ibanez , Jens Stuecker , Raul E. Angulo , Matteo Zennaro , Sergio Contreras , Giovanni Arico

Constraining cosmological parameters from large-scale structure observations requires precise and accurate tools to compute its properties. While perturbation theory (PT) approaches can serve this purpose, exploration of large parameter…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-12 Ken Osato , Takahiro Nishimichi , Atsushi Taruya , Francis Bernardeau

Advances in optical astrometry allow us to infer the non-radial kinematic structure of the Universe directly from observations. Here I use a supervised machine learning neural network method to predict 1.57 million redshifts based on…

Astrophysics of Galaxies · Physics 2025-07-03 Valeri V. Makarov

Modified gravity and massive neutrino cosmologies are two of the most interesting scenarios that have been recently explored to account for possible observational deviations from the concordance $\Lambda$-cold dark matter ($\Lambda$CDM)…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-15 Jorge Enrique García-Farieta , Federico Marulli , Alfonso Veropalumbo , Lauro Moscardini , Rigoberto Casas , Carlo Giocoli , Marco Baldi

We present a Bayesian reconstruction method which maps a galaxy distribution from redshift-space to real-space inferring the distances of the individual galaxies. The method is based on sampling density fields assuming a lognormal prior…

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