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We present an improved prescription for matter power spectrum in redshift space taking a proper account of both the non-linear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Atsushi Taruya , Takahiro Nishimichi , Shun Saito

We apply the integrated perturbation theory (Matsubara 2011, PRD 83, 083518) to evaluate the scale-dependent bias in the presence of primordial non-Gaussianity. The integrated perturbation theory is a general framework of nonlinear…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Takahiko Matsubara

Numerical simulations show that redshift space distortions (RSD) introduce strong scale dependence in the power spectra of halos, with ten percent deviations relative to linear theory predictions even on relatively large scales (k<0.1h/Mpc)…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Zvonimir Vlah , Uroš Seljak , Teppei Okumura , Vincent Desjacques

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

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

We use the Fisher-matrix formalism to investigate whether the galaxy bispectrum in redshift space, $B$, contains additional cosmological information with respect to the power spectrum, $P$. We focus on a $Euclid$-like survey and consider…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-10 Victoria Yankelevich , Cristiano Porciani

We study the matter bispectrum of the large-scale structure by comparing different perturbative and phenomenological models with measurements from $N$-body simulations obtained with a modal bispectrum estimator. Using shape and amplitude…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Andrei Lazanu , Tommaso Giannantonio , Marcel Schmittfull , E. P. S. Shellard

We present an improved prediction of the nonlinear perturbation theory (PT) via the Lagrangian picture, which was originally proposed by Matsubara (2008). Based on the relations between the power spectrum in standard PT and that in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Tomohiro Okamura , Atsushi Taruya , Takahiko Matsubara

We compare the non-linear matter power spectrum in real space calculated analytically from 3rd-order perturbation theory with N-body simulations at 1<z<6. We find that the perturbation theory prediction agrees with the simulations to better…

Astrophysics · Physics 2010-11-11 Donghui Jeong , Eiichiro Komatsu

We make progress towards an analytical understanding of the regime of validity of perturbation theory for large scale structures and the nature of some non-perturbative corrections. We restrict ourselves to 1D gravitational collapse, for…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-17 Enrico Pajer , Drian van der Woude

We present GEO-FPT (Geometric Fitted Perturbation Theory), a new model for the galaxy bispectrum anisotropic signal in redshift space, with functional form rooted in perturbation theory. It also models the dependence of the bispectrum with…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-20 Sergi Novell-Masot , Davide Gualdi , Héctor Gil-Marín , Licia Verde

Constraints on cosmological parameters from large-scale structure have traditionally been obtained from two-point statistics. However, non-linear structure formation renders these statistics insufficient in capturing the full information…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-22 Alex Hall , Alexander Mead

We present the application of the $n$-th order Eulerian Perturbation Theory ($n$EPT) for modeling the matter bispectrum in real space as an advancement over the Standard Perturbation Theory (SPT). The $n$EPT method, detailed in Wang et al.…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-28 Zhenyuan Wang , Donghui Jeong , Atsushi Taruya , Takahiro Nishimichi , Ken Osato

We investigate the accuracy of Eulerian perturbation theory for describing the matter and galaxy power spectra in real and redshift space in light of future observational probes for precision cosmology. Comparing the analytical results with…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-05 Héctor Gil-Marín , Christian Wagner , Licia Verde , Cristiano Porciani , Raul Jimenez

Using a fully gauge-invariant approach, we compute for the first time in the literature relativistic effects on the redshift drift up to second order in cosmological perturbation theory. This is achieved by employing a set of light-cone…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-30 Pierre Béchaz , Giuseppe Fanizza , Giovanni Marozzi , Matheus R. Medeiros Silva

The anisotropy of the redshift space bispectrum contains a wealth of cosmological information. This anisotropy depends on the orientation of three vectors ${\bf k_1,k_2,k_3}$ with respect to the line of sight. Here we have decomposed the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-12 Somnath Bharadwaj , Arindam Mazumdar , Debanjan Sarkar

Cosmological perturbation theory is a powerful tool to predict the statistics of large-scale structure in the weakly non-linear regime, but even at 1-loop order it results in computationally expensive mode-coupling integrals. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

Perturbation Theory (PT) applied to a cosmological density field with Gaussian initial fluctuations suggests a specific hierarchy for the correlation functions when the variance is small. In particular quantitative predictions have been…

Astrophysics · Physics 2009-10-30 D. Munshi , F. Bernardeau , A. L. Melott , R. Schaeffer

Large-scale structure surveys in the coming years will measure the redshift-space power spectrum to unprecedented accuracy, allowing for powerful new tests of the LambdaCDM picture as well as measurements of particle physics parameters such…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Amol Upadhye , Juliana Kwan , Adrian Pope , Katrin Heitmann , Salman Habib , Hal Finkel , Nicholas Frontiere

We compare the model power spectrum, computed based on perturbation theory (PT) with the power spectrum of luminous red galaxies (LRG) measured from the SDSSDR7 catalog, assuming a flat, CDM-dominated cosmology. The model includes the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-21 Shun Saito , Masahiro Takada , Atsushi Taruya