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The angular power spectrum is a powerful statistic for analysing cosmological signals imprinted in the clustering of matter. However, current galaxy and quasar surveys cover limited portions of the sky, and are contaminated by systematics…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-29 Boris Leistedt , Hiranya V. Peiris , Daniel J. Mortlock , Aurélien Benoit-Lévy , Andrew Pontzen

The statistical analysis of the lensing effects coupled with the statistical analysis of the number counts is a tool to probe directly the relation between the mass and the light. In particular, some properties of the bias parameter can be…

Astrophysics · Physics 2007-05-23 Ludovic Van Waerbeke

We examine the signature of dynamic (redshift-space) distortions and geometric distortions (including the Alcock-Paczynski effect) in the context of the galaxy power spectrum measured in upcoming galaxy redshift surveys. Information comes…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-03 Jonathan Blazek , Uroš Seljak , Zvonimir Vlah , Teppei Okumura

Baryon acoustic oscillations (BAOs) imprinted in the galaxy power spectrum can be used as a standard ruler to determine angular diameter distance and Hubble parameter at high redshift galaxies. Combining redshift distortion effect which…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-07 Atsushi Taruya , Shun Saito , Takahiro Nishimichi

Redshift evolution and peculiar velocities break the isotropy of cosmological surveys with respect to the directions parallel and transverse to the line of sight, limiting the accuracy of the Fourier representation to small areas and…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-21 L. Raul Abramo , João Ferri , Ian Tashiro , Arthur Loureiro

The primary science driver for 3D galaxy surveys is their potential to constrain cosmological parameters. Forecasts of these surveys' effectiveness typically assume Gaussian statistics for the underlying matter density, despite the fact…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-27 Andrew Repp , István Szapudi , Julien Carron , Melody Wolk

Spectroscopic redshift errors, including redshift uncertainty and catastrophic failures, can bias cosmological measurements from galaxy redshift surveys at sub-percent level. In this work, we investigate their impact on the full-shape…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Shengyu He , Jiaxi Yu , Antoine Rocher , Daniel Forero-Sánchez , Jean-Paul Kneib , Cheng Zhao , Etienne Burtin , Jiamin Hou

We develop a method for estimating the shear power spectra from weak lensing observations and test it on simulated data. Our method describes the shear field in terms of angular power spectra and cross correlation of the two shear modes…

Astrophysics · Physics 2008-11-26 Wayne Hu , Martin White

Weak lensing convergence can be used directly to map and probe the dark mass distribution in the universe. Building on earlier studies, we recall how the statistics of the convergence field are related to the statistics of the underlying…

Astrophysics · Physics 2009-11-07 Andrew J. Barber , Dipak Munshi , Patrick Valageas

We present a set of predictions for weak lensing correlation functions in the context of modified gravity models, including a prescription for the impact of the nonlinear power spectrum regime in these models. We consider the DGP and f(R)…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Emma Beynon , David J. Bacon , Kazuya Koyama

We show that in a certain, angle-averaged squeezed limit, the $N$-point function of matter is related to the response of the matter power spectrum to a long-wavelength density perturbation,…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-09 Christian Wagner , Fabian Schmidt , Chi-Ting Chiang , Eiichiro Komatsu

Modern datasets have the precision necessary to uncover new information by including higher-order, non-Gaussian information into cosmological inference. The marked power spectrum offers access to such information while preserving the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-05 Haruki Ebina , Martin White , Edmond Chaussidon

We introduce a methodology to extend the Fisher matrix forecasts to mildly non-linear scales without the need of selecting a cosmological model. We make use of standard non-linear perturbation theory for biased tracers complemented by…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-17 Luca Amendola , Massimo Pietroni , Miguel Quartin

Owing to their more extensive sky coverage and tighter control on systematic errors, future deep weak lensing surveys should provide a better statistical picture of the dark matter clustering beyond the level of the power spectrum. In this…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Dipak Munshi , Joseph Smidt , Alan Heavens , Peter Coles , Asantha Cooray

Advances in upcoming weak lensing surveys pose new challenges for an accurate modeling of the lensing observables. The wide sky coverage of Euclid makes angular scales down to $l_\mathrm{min}=10$ accessible. At such large angular scales,…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-02 Nastassia Grimm , Jaiyul Yoo

We present the first cosmological measurement derived from a galaxy density field subject to a `clipping' transformation. By enforcing an upper bound on the galaxy number density field in the Galaxy and Mass Assembly survey (GAMA),…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 Fergus Simpson , Chris Blake , John A. Peacock , Ivan Baldry , Joss Bland-Hawthorn , Alan Heavens , Catherine Heymans , Jon Loveday , Peder Norberg

We forecast the future constraints on scale-dependent parametrizations of galaxy bias and their impact on the estimate of cosmological parameters from the power spectrum of galaxies measured in a spectroscopic redshift survey. For the…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 L. Amendola , E. Menegoni , C. Di Porto , M. Corsi , E. Branchini

It is well known that magnification bias, the modulation of galaxy or quasar source counts by gravitational lensing, can change the observed angular correlation function. We investigate magnification-induced changes to the shape of the…

Astrophysics · Physics 2008-12-18 Marilena LoVerde , Lam Hui , Enrique Gaztanaga

Current and upcoming large-scale structure surveys are pushing toward increasingly wide angular coverage, where wide-angle effects (arising from the varying line of sight across the curved sky) become critical for accurate modeling of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Robin Y. Wen , Henry S. Grasshorn Gebhardt , Chen Heinrich , Olivier Doré

It is well known gravitational lensing, mainly via magnification bias, modifies the observed galaxy/quasar clustering. Such discussions have largely focused on the 2D angular correlation. Here and in a companion paper (Paper II) we explore…

Astrophysics · Physics 2008-11-26 Lam Hui , Enrique Gaztanaga , Marilena LoVerde
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