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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…

宇宙学与河外天体物理 · 物理学 2017-02-17 Xiao Fang , Jonathan A. Blazek , Joseph E. McEwen , Christopher M. Hirata

Perturbation theory of large-scale structures of the Universe at next-to-leading order and next-to-next-to-leading order provides us with predictions of cosmological statistics at sub-percent level in the mildly non-linear regime. Its use…

宇宙学与河外天体物理 · 物理学 2021-11-08 Ken Osato , Takahiro Nishimichi , Atsushi Taruya , Francis Bernardeau

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…

宇宙学与河外天体物理 · 物理学 2024-03-12 Ken Osato , Takahiro Nishimichi , Atsushi Taruya , Francis Bernardeau

Based on the multi-point propagator expansion, we present resummed perturbative calculations for cosmological power spectra and correlation functions in the context of modified gravity. In a wide class of modified gravity models that have a…

宇宙学与河外天体物理 · 物理学 2014-12-17 Atsushi Taruya , Takahiro Nishimichi , Francis Bernardeau , Takashi Hiramatsu , Kazuya Koyama

We explore the Lagrangian perturbation theory (LPT) at 1-loop order with Gaussian initial conditions. We present an expansion method to approximately compute the power spectrum in LPT. Our approximate solution has good convergence in the…

宇宙学与河外天体物理 · 物理学 2015-06-17 Naonori S. Sugiyama

Rapid progress in cosmological Large Scale Structure (LSS) surveys motivates precise theoretical predictions. The Effective Field Theory of Large-Scale Structure (EFTofLSS) is routinely applied to data, and requires fast computation of its…

宇宙学与河外天体物理 · 物理学 2026-02-26 Charalampos Anastasiou , Andrea Favorito , Matthew Lewandowski , Leonardo Senatore , Henry Zheng

We use two subsets of 2000 and 1000 Quijote simulations to build two power spectrum emulators, allowing for fast computations of the non-linear matter power spectrum. The first emulator is built in terms of seven cosmological parameters:…

宇宙学与河外天体物理 · 物理学 2025-12-09 Andrei Lazanu

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…

宇宙学与河外天体物理 · 物理学 2015-05-28 Tomohiro Okamura , Atsushi Taruya , Takahiko Matsubara

We present numerical measurements of the power spectrum response function of the gravitational growth of cosmic structures, defined as the functional derivative of the nonlinear spectrum with respect to the linear counterpart, based on…

宇宙学与河外天体物理 · 物理学 2017-12-20 Takahiro Nishimichi , Francis Bernardeau , Atsushi Taruya

We explore the properties of two-point cosmic propagators when Perturbation Theory (PT) loop corrections are consistently taken into account. We show in particular how the interpolation scheme proposed in arXiv:1112.3895 can be explicitly…

宇宙学与河外天体物理 · 物理学 2014-01-15 Francis Bernardeau , Atsushi Taruya , Takahiro Nishimichi

We compute the two-loop effective field theory (EFT) power spectrum of dark matter density fluctuations in $\Lambda$CDM using the recently proposed COBRA method (Bakx. et al, 2025). With COBRA, we are able to evaluate the two-loop matter…

宇宙学与河外天体物理 · 物理学 2026-02-11 Thomas Bakx , Henrique Rubira , Nora Elisa Chisari , Zvonimir Vlah

We present a novel algorithm, FAST-PT, for performing convolution or mode-coupling integrals that appear in nonlinear cosmological perturbation theory. The algorithm uses several properties of gravitational structure formation -- the…

宇宙学与河外天体物理 · 物理学 2017-02-21 Joseph E. McEwen , Xiao Fang , Christopher M. Hirata , Jonathan A. Blazek

To effectively exploit large-scale structure surveys, we depend on accurate and reliable predictions of non-linear cosmological structure formation. Tools for efficient and comprehensive computational modelling are therefore essential to…

宇宙学与河外天体物理 · 物理学 2020-10-07 Benjamin Bose , Matteo Cataneo , Tilman Tröster , Qianli Xia , Catherine Heymans , Lucas Lombriser

Perturbation theory (PT) is often used to model statistical observables capturing the translation and rotation-invariant information in cosmological density fields. PT produces higher-order corrections by integration over linear statistics…

宇宙学与河外天体物理 · 物理学 2018-12-07 Zachary Slepian

We make use of neural networks to accelerate the calculation of power spectra required for the analysis of galaxy clustering and weak gravitational lensing data. For modern perturbation theory codes, evaluation time for a single cosmology…

宇宙学与河外天体物理 · 物理学 2022-05-11 Joseph DeRose , Shi-Fan Chen , Martin White , Nickolas Kokron

An efficient technique for computing perturbation power spectra in field ordering theories of cosmic structure formation is introduced, enabling computations to be carried out with unprecedented precision. Large scale simulations are used…

天体物理学 · 物理学 2009-07-09 Ue-Li Pen , Uros Seljak , Neil Turok

We present $\mathcal{O}(N^2)$ estimators for the small-scale power spectrum and bispectrum in cosmological simulations. In combination with traditional methods, these allow spectra to be efficiently computed across a vast range of scales,…

宇宙学与河外天体物理 · 物理学 2021-01-21 Oliver H. E. Philcox

Modeling the large-scale structure of the universe on nonlinear scales has the potential to substantially increase the science return of upcoming surveys by increasing the number of modes available for model comparisons. One way to achieve…

宇宙学与河外天体物理 · 物理学 2016-11-30 Marcel Schmittfull , Zvonimir Vlah

We present a new scheme for the general computation of cosmic propagators that allow to interpolate between standard perturbative results at low-k and their expected large-k resummed behavior. This scheme is applicable to any multi-point…

宇宙学与河外天体物理 · 物理学 2013-05-30 Francis Bernardeau , Martin Crocce , Roman Scoccimarro

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…

宇宙学与河外天体物理 · 物理学 2025-10-23 Naonori Sugiyama
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