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Complimenting recent work on the effective field theory of cosmological large scale structures, here we present detailed approximate analytical results and further pedagogical understanding of the method. We start from the collisionless…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-02 Mark P. Hertzberg

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…

Astrophysics · Physics 2009-07-09 Ue-Li Pen , Uros Seljak , Neil Turok

Understanding the behavior of the matter power spectrum on non-linear scales beyond the $\Lambda$CDM model is crucial for accurately predicting the large-scale structure (LSS) of the Universe in non-standard cosmologies. In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-31 Emanuelly Silva , Ubaldo Zúñiga-Bolaño , Rafael C. Nunes , Eleonora Di Valentino

Interacting dark sector (IDS) models provide a commonly explored extension of the standard $\Lambda$CDM cosmology, allowing for non-gravitational energy--momentum exchange between cold dark matter (CDM) and dark energy (DE). Although such…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-16 Matheus Wolney , Gabriel Sampaio , Humberto Borges , Iuri Baranov , Rodrigo von Marttens

We derive a non-perturbative equation for the large scale structure power spectrum of long-wavelength modes. Thereby, we use an operator product expansion together with relations between the three-point function and power spectrum in the…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-19 Mathias Garny , Thomas Konstandin , Rafael A. Porto , Laura Sagunski

A phenomenological power spectrum of primordial density perturbations has been constructed by using both COBE data to probe the large wavelength region, and a double power law, locally deduced from galaxy catalogs, which describes the…

Astrophysics · Physics 2008-02-03 S. Torres , R. Fabbri , R. Ruffini

Context. The overdensity inside a cosmological sub-volume and the tidal fields from its surroundings affect the matter distribution of the region. The resulting difference between the local and global power spectra is characterized by the…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-11 Gábor Rácz , István Szapudi , István Csabai

We analyze the dark matter power spectrum at three-loop order in standard perturbation theory of large scale structure. We observe that at late times the loop expansion does not converge even for large scales (small momenta) well within the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-18 Diego Blas , Mathias Garny , Thomas Konstandin

A new approach to cosmological perturbation theory has been recently introduced by Bartelmann et al., relying on nonequilibrium statistical theory of classical particles, and treating the gravitational interaction perturbatively. They…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Yacine Ali-Haïmoud

We show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods.…

High Energy Physics - Phenomenology · Physics 2025-12-04 Mikael Chala , Javier López Miras

We present a simple yet effective method to resolve prior-volume effects, also known as projection effects, in full-shape analyses of the power spectrum multipoles within the Effective Field Theory of Large-Scale Structure (EFTofLSS). By…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-12 Maria Tsedrik , Pedro Carrilho , Chiara Moretti

We develop a formalism to analytically describe the clustering of matter in the mildly non-linear regime in the presence of massive neutrinos. Neutrinos, whose free streaming wavenumber ($k_{\rm fs}$) is typically longer than the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-24 Leonardo Senatore , Matias Zaldarriaga

We present an efficient and accurate pipeline for the analysis of the redshift-space galaxy bispectrum multipoles at one-loop order in effective field theory (EFT). We provide a systematic theory derivation based on power counting, which…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-05 Thomas Bakx , Mikhail M. Ivanov , Oliver H. E. Philcox , Zvonimir Vlah

We initiate a systematic study of the perturbative nonlinear dynamics of cosmological fluctuations in dark sectors comprising a fraction of non-cold dark matter, for example ultra-light axions or light thermal relics. These mixed dark…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Francesco Verdiani , Emanuele Castorina , Ennio Salvioni , Emiliano Sefusatti

Former analyses of the BOSS data using the Effective Field Theory of Large-Scale Structure (EFTofLSS) have measured that the largest counterterms are the redshift-space distortion ones. This allows us to adjust the power-counting rules of…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-31 Guido D'Amico , Leonardo Senatore , Pierre Zhang , Takahiro Nishimichi

We explore the deep ultraviolet (that is, short-distance) limit of the power spectrum (PS) and of the correlation function of a cold dark matter dominated Universe. While for large scales the PS can be written as a double series expansion,…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Shi-Fan Chen , Massimo Pietroni

The large scale structure bispectrum in the squeezed limit couples large with small scales. Since relativity is important at large scales and non-linear loop corrections are important at small scales, the proper calculation of the observed…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Lina Castiblanco , Radouane Gannouji , Jorge Noreña , Clément Stahl

We present the first attempt to analytically study the nonlinear matter power spectrum for a mixed dark matter (cold dark matter plus neutrinos of total mass ~0.1eV) model based on cosmological perturbation theory. The suppression in the…

Astrophysics · Physics 2009-06-23 Shun Saito , Masahiro Takada , Atsushi Taruya

Using a diagrammatic approach to Eulerian perturbation theory, we analytically calculate the variance and skewness of the density and velocity divergence induced by gravitational evolution from Gaussian initial conditions, including…

Astrophysics · Physics 2011-09-30 Roman Scoccimarro , Joshua Frieman

We study a simple setup with dark matter halos in real space, with the amplitude of the linear density field $A$ as the only free cosmological parameter. We show that Eulerian perturbation theory is adequate for describing this system on…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-09 Francesco Spezzati , Marco Marinucci , Marko Simonović
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