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Gravity-induced non-Gaussianity in the large-scale structure of the Universe, characterised by higher-order statistics such as the bispectrum (three-point cumulant), is expected to contain rich cosmological information. A measurement of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-24 Benjamin Bose , Atsushi Taruya

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

I discuss the evolution of the redshift-space bispectrum via perturbation theory (PT) and large high-resolution numerical simulations. At large scales, we give the multipole expansion of the bispectrum in PT, which provides a natural way to…

Astrophysics · Physics 2007-05-23 Roman Scoccimarro

Using a full implementation of resummed perturbation theory (PT) from a multi-point propagator expansion, we put forward new theoretical predictions for the two-point statistics of matter fluctuations in redshift space. The predictions…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-10 Atsushi Taruya , Takahiro Nishimichi , Francis Bernardeau

Two-parameter perturbation theory is a scheme tailor-made to consistently include nonlinear density contrasts on small scales ($<100\; \mathrm{Mpc}$), whilst retaining a traditional approach to cosmological perturbations in the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Christopher Gallagher , Timothy Clifton , Chris Clarkson

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

We study the cosmological information content of the redshift-space galaxy bispectrum monopole at one-loop order in perturbation theory. We incorporate all effects necessary for comparison to data: fourth-order galaxy bias, infrared…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-07 Oliver H. E. Philcox , Mikhail M. Ivanov , Giovanni Cabass , Marko Simonović , Matias Zaldarriaga , Takahiro Nishimichi

We develop a code to produce the power spectrum in redshift space based on standard perturbation theory (SPT) at 1-loop order. The code can be applied to a wide range of modified gravity and dark energy models using a recently proposed…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Benjamin Bose , Kazuya Koyama

This is part two in a series of papers in which we investigate an approach based on Lagrangian perturbation theory (LPT) to study the non-linear evolution of the large-scale structure distribution in the universe. Firstly, we compute the…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-15 Cornelius Rampf , Yvonne Y. Y. Wong

We study the information content of the angle-averaged (monopole) redshift space galaxy bispectrum. The main novelty of our approach is the use of a systematic tree-level perturbation theory model that includes galaxy bias, IR resummation,…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-23 Mikhail M. Ivanov , Oliver H. E. Philcox , Takahiro Nishimichi , Marko Simonović , Masahiro Takada , Matias Zaldarriaga

Accurate modeling of nonlinearities in the galaxy bispectrum, the Fourier transform of the galaxy three-point correlation function, is essential to fully exploit it as a cosmological probe. In this paper, we present numerical and…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-02 Nuala McCullagh , Donghui Jeong , Alexander S. Szalay

Redshift-space distortions (RSD) offer an attractive method to measure the growth of cosmic structure on large scales, and combining with the measurement of the cosmic expansion history, it can be used as cosmological tests of gravity. With…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-22 Atsushi Taruya , Kazuya Koyama , Takashi Hiramatsu , Akira Oka

Perturbation theory (PT) has been used to interpret the observed nonlinear large-scale structure statistics at the quasi-linear regime. To facilitate the PT-based analysis, we have presented the GridSPT algorithm, a grid-based method to…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-18 Atsushi Taruya , Takahiro Nishimichi , Donghui Jeong

We present the one-loop perturbation theory for the power spectrum of the marked density field of matter and biased tracers in real- and redshift-space. The statistic has been shown to yield impressive constraints on cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Oliver H. E. Philcox , Alejandro Aviles , Elena Massara

We present measurements of the dark matter bispectrum in N-body simulations with non-Gaussian initial conditions of the local kind for a large variety of triangular configurations and compare them with predictions from Eulerian Perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Emiliano Sefusatti , Martin Crocce , Vincent Desjacques

We calculate the non-linear galaxy power spectrum in real space, including non-linear distortion of the Baryon Acoustic Oscillations, using the standard 3rd-order perturbation theory (PT). The calculation is based upon the assumption that…

Astrophysics · Physics 2009-10-02 Donghui Jeong , Eiichiro Komatsu

Two-parameter perturbation theory (2PPT) is a framework designed to include the relativistic gravitational effects of small-scale nonlinear structures on the large-scale properties of the Universe. In this paper we use the 2PPT framework to…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Christopher S. Gallagher , Timothy Clifton , Chris Clarkson

The bispectrum, the three-point function of density fluctuations in Fourier space, is the lowest order statistic that carries information about the spatial coherence of large-scale structures. For Gaussian initial conditions, when the…

In performing cosmological N-body simulations, it is widely appreciated that the growth of structure on the largest scales within a simulation box will be inhibited by the finite size of the simulation volume. Following ideas set forth in…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-16 Chris Orban

We study the matter bispectrum of large-scale structure by comparing the predictions of different perturbative and phenomenological models with the full three-dimensional bispectrum from $N$-body simulations estimated using modal methods.…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-20 Andrei Lazanu , Tommaso Giannantonio , Marcel Schmittfull , E. P. S. Shellard
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