scholarly journals Matter power spectrum covariance matrix from the DEUS-PUR ΛCDM simulations: mass resolution and non-Gaussian errors

2014 ◽  
Vol 446 (2) ◽  
pp. 1756-1764 ◽  
Author(s):  
L. Blot ◽  
P. S. Corasaniti ◽  
J.-M. Alimi ◽  
V. Reverdy ◽  
Y. Rasera
Keyword(s):  
Power Spectrum ◽  
Covariance Matrix ◽  
Mass Resolution ◽  
Matter Power Spectrum ◽  
Non Gaussian

scholarly journals Cosmological model parameter dependence of the matter power spectrum covariance from the DEUS-PUR Cosmo simulations

2020 ◽  
Vol 500 (2) ◽  
pp. 2532-2542
Author(s):  
Linda Blot ◽  
Pier-Stefano Corasaniti ◽  
Yann Rasera ◽  
Shankar Agarwal
Keyword(s):  
Dark Energy ◽  
Power Spectrum ◽  
Cold Dark Matter ◽  
Matter Density ◽  
Density Fluctuations ◽  
Matrix Analysis ◽  
Model Parameter ◽  
Matter Power Spectrum ◽  
Non Gaussian ◽  
The Impact

ABSTRACT Future galaxy surveys will provide accurate measurements of the matter power spectrum across an unprecedented range of scales and redshifts. The analysis of these data will require one to accurately model the imprint of non-linearities of the matter density field. In particular, these induce a non-Gaussian contribution to the data covariance that needs to be properly taken into account to realize unbiased cosmological parameter inference analyses. Here, we study the cosmological dependence of the matter power spectrum covariance using a dedicated suite of N-body simulations, the Dark Energy Universe Simulation–Parallel Universe Runs (DEUS-PUR) Cosmo. These consist of 512 realizations for 10 different cosmologies where we vary the matter density Ωm, the amplitude of density fluctuations σ8, the reduced Hubble parameter h, and a constant dark energy equation of state w by approximately $10{{\ \rm per\ cent}}$. We use these data to evaluate the first and second derivatives of the power spectrum covariance with respect to a fiducial Λ-cold dark matter cosmology. We find that the variations can be as large as $150{{\ \rm per\ cent}}$ depending on the scale, redshift, and model parameter considered. By performing a Fisher matrix analysis we explore the impact of different choices in modelling the cosmological dependence of the covariance. Our results suggest that fixing the covariance to a fiducial cosmology can significantly affect the recovered parameter errors and that modelling the cosmological dependence of the variance while keeping the correlation coefficient fixed can alleviate the impact of this effect.

scholarly journals Perturbative approach to covariance matrix of the matter power spectrum

2016 ◽  
Vol 466 (1) ◽  
pp. 780-797 ◽  
Author(s):  
Irshad Mohammed ◽  
Uroš Seljak ◽  
Zvonimir Vlah
Keyword(s):  
Power Spectrum ◽  
Covariance Matrix ◽  
Perturbative Approach ◽  
Matter Power Spectrum

scholarly journals NON-GAUSSIAN ERROR CONTRIBUTION TO LIKELIHOOD ANALYSIS OF THE MATTER POWER SPECTRUM

2010 ◽  
Vol 726 (1) ◽  
pp. 7 ◽  
Author(s):  
Ryuichi Takahashi ◽  
Naoki Yoshida ◽  
Masahiro Takada ◽  
Takahiko Matsubara ◽  
Naoshi Sugiyama ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Matter Power Spectrum ◽  
Likelihood Analysis ◽  
Non Gaussian

scholarly journals Bayesian forward modelling of cosmic shear data

2021 ◽  
Vol 502 (2) ◽  
pp. 3035-3044
Author(s):  
Natalia Porqueres ◽  
Alan Heavens ◽  
Daniel Mortlock ◽  
Guilhem Lavaux
Keyword(s):  
Power Spectrum ◽  
Power Spectra ◽  
Density Field ◽  
Matter Distribution ◽  
Bayesian Hierarchical ◽  
Matter Power Spectrum ◽  
Field Samples ◽  
Dark Matter Distribution ◽  
Cosmic Shear ◽  
Non Gaussian

ABSTRACT We present a Bayesian hierarchical modelling approach to infer the cosmic matter density field, and the lensing and the matter power spectra, from cosmic shear data. This method uses a physical model of cosmic structure formation to infer physically plausible cosmic structures, which accounts for the non-Gaussian features of the gravitationally evolved matter distribution and light-cone effects. We test and validate our framework with realistic simulated shear data, demonstrating that the method recovers the unbiased matter distribution and the correct lensing and matter power spectrum. While the cosmology is fixed in this test, and the method employs a prior power spectrum, we demonstrate that the lensing results are sensitive to the true power spectrum when this differs from the prior. In this case, the density field samples are generated with a power spectrum that deviates from the prior, and the method recovers the true lensing power spectrum. The method also recovers the matter power spectrum across the sky, but as currently implemented, it cannot determine the radial power since isotropy is not imposed. In summary, our method provides physically plausible inference of the dark matter distribution from cosmic shear data, allowing us to extract information beyond the two-point statistics and exploiting the full information content of the cosmological fields.

scholarly journals SIMULATIONS OF BARYON ACOUSTIC OSCILLATIONS. II. COVARIANCE MATRIX OF THE MATTER POWER SPECTRUM

2009 ◽  
Vol 700 (1) ◽  
pp. 479-490 ◽  
Author(s):  
Ryuichi Takahashi ◽  
Naoki Yoshida ◽  
Masahiro Takada ◽  
Takahiko Matsubara ◽  
Naoshi Sugiyama ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Covariance Matrix ◽  
Acoustic Oscillations ◽  
Matter Power Spectrum ◽  
Baryon Acoustic Oscillations

scholarly journals One-Point Statistics Matter in Extended Cosmologies

2021 ◽  
Author(s):  
Alex Gough ◽  
Cora Uhlemann
Keyword(s):  
Power Spectrum ◽  
Large Deviation ◽  
Matter Field ◽  
Gaussian Fields ◽  
Fundamental Physics ◽  
Matter Power Spectrum ◽  
Gaussian Statistic ◽  
Linear Information ◽  
Point Correlation ◽  
Non Gaussian

The late universe contains a wealth of information about fundamental physics and gravity, wrapped up in non-Gaussian fields. To make use of as much information as possible it is necessary to go beyond two-point statistics. Rather than going to higher order N-point correlation functions, we demonstrate that the probability distribution function (PDF) of spheres in the matter field (a one-point function) already contains a significant amount of this non-Gaussian information. The matter PDF dissects different density environments which are lumped together in two-point statistics, making it particularly useful for probing modifications of gravity or expansion history. Our approach in Cataneo et. al. 2021 extends the success of Large Deviation Theory for predicting the matter PDF in ΛCDM in these “extended” cosmologies. A Fisher forecast demonstrates the information content in the matter PDF via constraints for a Euclid-like survey volume combining the 3D matter PDF with the 3D matter power spectrum. Adding the matter PDF halves the uncertainties on parameters in an evolving dark energy model, relative to the power spectrum alone. Additionally, the matter PDF contains enough non-linear information to substantially increase the detection significance of departures from General Relativity, with improvements up to six times the power spectrum alone. This analysis demonstrates that the matter PDF is a promising non-Gaussian statistic for extracting cosmological information, particularly for beyond ΛCDM models.

scholarly journals Non-Gaussian covariance of the matter power spectrum in the effective field theory of large scale structure

2016 ◽  
Vol 93 (12) ◽  
Author(s):  
Daniele Bertolini ◽  
Katelin Schutz ◽  
Mikhail P. Solon ◽  
Jonathan R. Walsh ◽  
Kathryn M. Zurek
Keyword(s):  
Field Theory ◽  
Power Spectrum ◽  
Effective Field Theory ◽  
Large Scale ◽  
Large Scale Structure ◽  
Effective Field ◽  
Scale Structure ◽  
Matter Power Spectrum ◽  
Non Gaussian
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