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The anisotropy of clustering in redshift space provides a direct measure of the growth rate of large scale structure in the Universe. Future galaxy redshift surveys will make high precision measurements of these distortions, and will…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-28 Elise Jennings , Carlton M. Baugh , Silvia Pascoli

In the near future, cosmology will enter the wide and deep galaxy survey area allowing high-precision studies of the large scale structure of the universe in three dimensions. To test cosmological models and determine their parameters…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-11 J. -E. Campagne , S. Plaszczynski , J. Neveu

A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

Astrophysics · Physics 2009-10-31 Takahiko Matsubara

Density-reconstruction sharpens the baryon acoustic oscillations signal by undoing some of the smoothing incurred by nonlinear structure formation. In this paper we present an analytical model for reconstruction based on the Zeldovich…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-18 Shi-Fan Chen , Zvonimir Vlah , Martin White

Future galaxy surveys will measure baryon acoustic oscillations (BAOs) with high significance, and a complete understanding of the anisotropies of BAOs in redshift space will be important to exploit the cosmological information in BAOs.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Donghui Jeong , Liang Dai , Marc Kamionkowski , Alexander S. Szalay

Redshift space distortions of the matter density power spectrum carry information on the growth rate of cosmic structure but require accurate modeling of nonlinear and velocity effects on the density field. We test and advance the…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-19 Alberto Vallinotto , Eric V. Linder

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi

Upcoming Large Scale Structure surveys aim to achieve an unprecedented level of precision in measuring galaxy clustering. However, accurately modeling these statistics may require theoretical templates that go beyond second-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 M. Icaza-Lizaola , Yong-Seon Song , Minji Oh , Yi Zheng

Associating the formation sites of haloes with the maxima of the smoothed linear density field, we present non-perturbative predictions for the Lagrangian and evolved halo correlation functions that are valid at all separations. In…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Tobias Baldauf , Sandrine Codis , Vincent Desjacques , Christophe Pichon

We show that redshift-space distortions of galaxy correlations have a strong effect on correlation functions with distinct, localized features, like the signature of the baryon acoustic oscillations (BAO). Near the line of sight, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 H. J. Tian , Mark C. Neyrinck , Tamás Budavári , Alexander S. Szalay

We formulate the Lagrangian perturbation theory of galaxy intrinsic alignments and compute the resulting auto and cross power spectra of galaxy shapes, densities and matter to 1-loop order. Our model represents a consistent effective-theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-03 Shi-Fan Chen , Nickolas Kokron

We present a fast and accurate formulation for computing the nonlinear matter power spectrum at one-loop order based on Unified Lagrangian Perturbation Theory (ULPT). ULPT decomposes the density field into the Jacobian deviation, capturing…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-23 Naonori Sugiyama

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

The use of Eulerian 'standard perturbation theory' to describe mass assembly in the early universe has traditionally been limited to modes with k $\lesssim$ 0.1 h/Mpc at z = 0. At larger k the SPT power spectrum deviates from measurements…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-28 Lucía Fonseca de la Bella , Donough Regan , David Seery , Shaun Hotchkiss

Understanding the formation and evolution of large-scale structure is a central problem in cosmology and enables precise tests of General Relativity on cosmological scales and constraints on dark energy. An essential ingredient is an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Lile Wang , Beth Reid , Martin White

The Zeldovich approximation, 1st order Lagrangian perturbation theory, provides a good description of the clustering of matter and galaxies on large scales. The acoustic feature in the large-scale correlation function of galaxies imprinted…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Martin White

Gaussian processes are a powerful class of non-linear models, but have limited applicability for larger datasets due to their high computational complexity. In such cases, approximate methods are required, for example, the recently…

Methodology · Statistics 2026-03-24 Soham Mukherjee , Manfred Claassen , Paul-Christian Bürkner

Baryon acoustic oscillations (BAO) are a powerful probe of the expansion history of the universe, which can tell us about the nature of dark energy. In order to accurately characterize the dark energy equation of state using BAO, we must…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Nuala McCullagh , Alexander S. Szalay

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

The baryon acoustic oscillation (BAO) feature in the 2-point clustering of biased tracers in redshift space can be described in a model-agnostic manner, relying only on the assumption that nonlinear growth approximately smears this feature…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-09 Aseem Paranjape , Ravi K. Sheth