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The likelihood function is a crucial element of parameter estimation. In analyses of galaxy overdensities and weak lensing shear, one often approximates the likelihood of the power spectrum with a Gaussian distribution. The posterior…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 L. Sun , Q. Wang , H. Zhan

The angular correlation is a method for measuring the distribution of structure in the Universe, through the statistical properties of the angular distribution of galaxies on the sky. We measure the angular correlation of galaxies from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-20 Brandon Venville , David Parkinson , Natasha Hurley-Walker , Tim Galvin , Kathryn Ross

The process of density field reconstruction enhances the statistical power of distance scale measurements using baryon acoustic oscillations (BAO). During this process a fiducial cosmology is assumed in order to convert sky coordinates and…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-27 Blake D. Sherwin , Martin White

We computed the power spectrum of weak cosmic shear in models with non-Gaussian primordial density fluctuations. Cosmological initial conditions deviating from Gaussianity have recently attracted much attention in the literature, especially…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 C. Fedeli , L. Moscardini

We apply nonlinear reconstruction to the dark matter density field in redshift space and solve for the nonlinear mapping from the initial Lagrangian position to the final redshift space position. The reconstructed anisotropic field inferred…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-13 Hong-Ming Zhu , Yu Yu , Ue-Li Pen

When performing cosmological inference, standard analyses of the Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions only consider the information carried by the distinct peak produced by baryon acoustic oscillations (BAO).…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Francesca Gerardi , Andrei Cuceu , Andreu Font-Ribera , Benjamin Joachimi , Pablo Lemos

We present a public code to generate random fields with an arbitrary probability distribution function (PDF) and an arbitrary correlation function. The algorithm is cosmology-independent, applicable to any stationary stochastic process over…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-16 Federico Tosone , Mark C. Neyrinck , Benjamin R. Granett , Luigi Guzzo , Nicola Vittorio

We extend previous analyses of wide-angle correlations in the galaxy power spectrum in redshift space to include all general relativistic effects. These general relativistic corrections to the standard approach become important on large…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-17 Daniele Bertacca , Roy Maartens , Alvise Raccanelli , Chris Clarkson

We investigate to which accuracy it is possible to recover the real-space two-point correlation function of galaxy clusters from cluster catalogues based on photometric redshifts, and test our ability to measure the redshift and mass…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-29 Srivatsan Sridhar , Sophie Maurogordato , Christophe Benoist , Alberto Cappi , Federico Marulli

We discuss the behaviour of the redshift- and real-space correlation functions from the ESO Slice Project (ESP) galaxy redshift survey. xi(s) for the whole survey is positive out to ~80/h Mpc, with a smooth break from a shallow power law.…

Astrophysics · Physics 2007-05-23 L. Guzzo , J. G. Bartlett , A. Cappi

We present the three-dimensional power spectrum of galaxy clustering using measurements of the angular correlation function from the second incremental release of the Two-Micron All Sky Survey (2MASS). The angular positions of galaxies out…

Astrophysics · Physics 2019-08-17 B. Allgood , G. Blumenthal , J. R. Primack

We present a detailed analysis of the two-point correlation function, from the 2dF Galaxy Redshift Survey (2dFGRS). We estimate the redshift-space correlation function, xi(s), from which we measure the redshift-space clustering length,…

It was recently shown that applying a Gaussianizing transform, such as a logarithm, to the nonlinear matter density field extends the range of useful applicability of the power spectrum by a factor of a few smaller. Such a transform…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-15 Mark C. Neyrinck

In this paper, we study the effects of general relativistic corrections on the observed galaxy power spectrum in thawing class of cubic Galileon model with linear potential that preserves the shift symmetry. In this scenario, the observed…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-30 Bikash R. Dinda , Md. Wali Hossain , Anjan A Sen

The baryon acoustic oscillation (BAO) reconstruction plays a crucial role in cosmological analysis for spectroscopic galaxy surveys because it can make the density field effectively more linear and more Gaussian. The combination of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 Ruiyang Zhao , Kazuya Koyama , Yuting Wang , Gong-Bo Zhao

We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale…

Astrophysics · Physics 2015-06-24 A. F. Heavens , A. N. Taylor

The field of cosmology is entering an epoch of unparalleled wealth of observational data thanks to galaxy surveys such as DESI, Euclid, and Roman. Therefore, it is essential to have a firm theoretical basis that allows the effective…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 William Ortolá Leonard , Zachary Slepian , Jiamin Hou

We re-examine a genuine power of weak lensing bispectrum tomography for constraining cosmological parameters, when combined with the power spectrum tomography, based on the Fisher information matrix formalism. To account for the full…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-21 Issha Kayo , Masahiro Takada

We derive an analytic expression for the two-point correlation function in redshift space which (i) is nonlinear; (ii) is valid on the full sky, i.e. the distant-observer limit is not assumed; (iii) can account for the effect of…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Lawrence Dam , Camille Bonvin

The 2dF Galaxy Redshift Survey has now measured in excess of 160000 galaxy redshifts. This paper presents the power spectrum of the galaxy distribution, calculated using a direct FFT-based technique. We argue that, within the k-space region…