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We study the mean number counts and two-point correlation functions, along with their covariance matrices, of cosmological surveys such as for clusters. In particular, we consider correlation functions averaged over finite redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Patrick Valageas , Nicolas Clerc , Florian Pacaud , Marguerite Pierre

A new fully non-linear reconstruction algorithm for the accurate recovery of the Baryonic Acoustic Oscillations (BAO) scale in two-point correlation functions is proposed, based on the least-action principle and extending the Fast Action…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-30 E. Sarpa , C. Schimd , E. Branchini , S. Matarrese

We make use of recent developments in the analysis of galaxy redshift surveys to present an easy to use matrix-based analysis framework for the galaxy power spectrum multipoles, including wide-angle effects and the survey window function.…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-24 Florian Beutler , Patrick McDonald

We measure the two point correlation function (CF) of 1357 galaxy clusters with a mass of $\log_{10}{M_{200}}\geq 13.6$~\hm~and at a redshift of $z \leq 0.125$. This work differs from previous analyses in that it utilizes a spectroscopic…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-21 Mohamed H. Abdullah , Anatoly Klypin , Francisco Prada , Gillian Wilson , Tomoaki Ishiyama , Julia Ereza

We conducted a review of the fundamental aspects of describing and detecting the Baryon Acoustic Oscillation (BAO) feature in galaxy surveys, emphasizing the optimal tools for constraining this probe based on the type of observation.…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-06 Paula S. Ferreira , Ribamar R. R. Reis

Standard analysis pipelines for measurements of Baryon Acoustic Oscillations (BAO) in galaxy surveys make use of a fiducial cosmological model to guide the data compression required to transform from observed redshifts and angles to the…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Paul Carter , Florian Beutler , Will J. Percival , Joseph DeRose , Risa H. Wechsler , Cheng Zhao

Baryon acoustic oscillation (BAO) is a powerful probe on the expansion of the universe, shedding light on elusive dark energy and gravity at cosmological scales. BAO measurements through biased tracers of the underlying matter density…

Astrophysics · Physics 2008-02-19 Pengjie Zhang

We study the lensing convergence power spectrum and its covariance for a standard LCDM cosmology. We run 400 cosmological N-body simulations and use the outputs to perform a total of 1000 independent ray-tracing simulations. We compare the…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-12 Masanori Sato , Takashi Hamana , Ryuichi Takahashi , Masahiro Takada , Naoki Yoshida , Takahiko Matsubara , Naoshi Sugiyama

We develop methods for investigating baryon acoustic oscillation (BAO) features in cosmological models with non-trivial (but slowly varying) averaged spatial curvature: models that are not necessarily flat, close to flat, nor with constant…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-06 Asta Heinesen , Chris Blake , Yong-Zhuang Li , David L. Wiltshire

We present a new class of estimators for computing small-scale power spectra and bispectra in configuration-space via weighted pair- and triple-counts, with no explicit use of Fourier transforms. Particle counts are truncated at $R_0\sim…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-30 Oliver H. E. Philcox , Daniel J. Eisenstein

A suggested solution to the dark energy problem is the void model, where accelerated expansion is replaced by Hubble-scale inhomogeneity. In these models, density perturbations grow on a radially inhomogeneous background. This large scale…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-22 Sean February , Chris Clarkson , Roy Maartens

The reconstruction method has been widely employed to improve the Baryon Acoustic Oscillations (BAO) measurement in spectroscopic survey data analysis. In this study, we explore the reconstruction of the BAO signals in the realm of…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-14 Kwan Chuen Chan , Guoyuan Lu , Xin Wang

Photometric data can be analyzed using the three-dimensional correlation function $\xi_{\rm p}$ to extract cosmological information via e.g., measurement of the Baryon Acoustic Oscillations (BAO). Previous studies modeled $\xi_{\rm p} $…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-16 Kwan Chuen Chan , Ismael Ferrero , Santiago Avila , Ashley J. Ross , Martin Crocce , Enrique Gaztanaga

We present results from the 2D anisotropic Baryon Acoustic Oscillation (BAO) signal present in the final dataset from the WiggleZ Dark Energy Survey. We analyse the WiggleZ data in two ways: firstly using the full shape of the 2D…

Modern galaxy surveys focus on the galaxy power spectrum or 2-point correlation function to test and constrain cosmological models. Additional information comes from higher-order N-point functions, but their analysis is challenging. A…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Marcel Schmittfull , Azadeh Moradinezhad Dizgah

In this paper we present a new method to extract cosmological parameters using the radial scale of the Baryon Acoustic Oscillations as a standard ruler in deep galaxy surveys. The method consists in an empirical parametrization of the…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-30 E. Sanchez , D. Alonso , F. J. Sanchez , J. Garcia-Bellido , I. Sevilla

Baryon acoustic oscillations (BAO) represent one of the cleanest probes of dark energy, allowing for tests of the cosmological model through the measurement of distance and expansion rate from a 3D galaxy distribution. The signal appears at…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-02 Rossana Ruggeri , Chris Blake

We introduce methods which allow observed galaxy clustering to be used together with observed luminosity or stellar mass functions to constrain the physics of galaxy formation. We show how the projected two-point correlation function of…

Astrophysics of Galaxies · Physics 2016-03-02 Marcel P. van Daalen , Bruno M. B. Henriques , Raul E. Angulo , Simon D. M. White

In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

In galaxy survey analysis, the observed clustering statistics do not directly match theoretical predictions but rather have been processed by a window function that arises from the survey geometry including the sky footprint,…

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