Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory

Chen, Shi-Fan; Vlah, Zvonimir; White, Martin

doi:10.1088/1475-7516/2020/07/062

Cited by 79 publications

(169 citation statements)

References 143 publications

(257 reference statements)

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“…To model the window-free power spectrum and bispectrum, we utilize the EFTofLSS, as implemented in the Boltzmann code class-pt [81] (see also [82,83]). For consistency, the power spectrum (bispectrum) model is computed up to one-loop (tree-level) order, and both include full treatment of all necessary components, including perturbative corrections, galaxy bias, ultraviolet counterterms (to consistently account for short-scale physics), infrared resummation (to treat long-wavelength displacements) and stochasticity (including shot-noise and fingers-of-God effects…”

Section: Theoretical Model and Likelihood A Theory Modelmentioning

confidence: 99%

The BOSS DR12 Full-Shape Cosmology: $Λ$CDM Constraints from the Large-Scale Galaxy Power Spectrum and Bispectrum Monopole

Philcox,

Ivanov

2021

Preprint

122

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We present a full ΛCDM analysis of the BOSS DR12 dataset, including information from the power spectrum multipoles, the real-space power spectrum, the reconstructed power spectrum and the bispectrum monopole. This is the first analysis to feature a complete treatment of the galaxy bispectrum, including a consistent theoretical model and without large-scale cuts. Unlike previous works, the statistics are measured using window-free estimators: this greatly reduces computational costs by removing the need to window-convolve the theory model. Our pipeline is tested using a suite of high-resolution mocks and shown to be robust and precise, with systematic errors far below the statistical thresholds. Inclusion of the bispectrum yields consistent parameter constraints and shrinks the σ8 posterior by 13% to reach < 5% precision; less conservative analysis choices would reduce the error-bars further. Our constraints are broadly consistent with Planck : in particular, we find H0 = 69.6 +1.1 −1.3 km s −1 Mpc −1 , σ8 = 0.692 +0.035 −0.041 and ns = 0.870 +0.067 −0.064 , including a BBN prior on the baryon density. When ns is set by Planck, we find H0 = 68.31 +0.83 −0.86 km s −1 Mpc −1 and σ8 = 0.722 +0.032 −0.036 . Our S8 posterior, 0.751 ± 0.039, is consistent with weak lensing studies, but lower than Planck. Constraints on the higher-order bias parameters are significantly strengthened from the inclusion of the bispectrum, and we find no evidence for deviation from the dark matter halo bias relations. These results represent the most complete full-shape analysis of BOSS DR12 to-date, and the corresponding spectra will enable a variety of beyond-ΛCDM analyses, probing phenomena such as the neutrino mass and primordial non-Gaussianity.

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Section: Theoretical Model and Likelihood A Theory Modelmentioning

confidence: 99%

The BOSS DR12 Full-Shape Cosmology: $Λ$CDM Constraints from the Large-Scale Galaxy Power Spectrum and Bispectrum Monopole

Philcox,

Ivanov

2021

Preprint

122

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“…Combining Eqs. (26), (28), (31) and 59there, we then obtain the following set of coupled ODE describing the evolution of the n-th order longitudinal and transverse contributions to H:…”

Section: Lagrangian Perturbation Theorymentioning

confidence: 99%

A rigorous EFT-based forward model for large-scale structure

Schmidt

Elsner

Jasche

et al. 2019

J. Cosmol. Astropart. Phys.

197

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Conventional approaches to cosmology inference from galaxy redshift surveys are based on n-point functions, which are under rigorous perturbative control on sufficiently large scales. Here, we present an alternative approach, which employs a likelihood at the level of the galaxy density field. By integrating out small-scale modes based on effective-field theory arguments, we prove that this likelihood is under perturbative control if certain specific conditions are met. We further show that the information captured by this likelihood is equivalent to the combination of the next-to-leading order galaxy power spectrum, leadingorder bispectrum, and BAO reconstruction. Combined with MCMC sampling and MAP optimization techniques, our results allow for fully Bayesian cosmology inference from largescale structure that is under perturbative control. We illustrate this via a first demonstration of unbiased cosmology inference from nonlinear large-scale structure using this likelihood. In particular, we show unbiased estimates of the power spectrum normalization σ 8 from a catalog of simulated dark matter halos, where nonlinear information is crucial in breaking the b 1 − σ 8 degeneracy.

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“…Already in the initial paper by [1], results were presented by the so called "east coast" and "west coast" teams who validated their implementations of the Effective Theory of Large Scale Structure (EFTofLSS) based on their works [10] and [13], respectively. This was followed by [14] who used the PT challenge public material for testing their implementations of MONE, REPT and LPT [15]. Finally, [16] participated in the challenge using a halo-model based emulator.…”

Section: (Blind) Pt Challenge Set-upmentioning

confidence: 99%

PT challenge: Validation of ShapeFit on large-volume, high-resolution mocks

Brieden,

Gil-Marín,

Verde

2022

Preprint

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The ShapeFit compression method has been shown to be a powerful tool to gain cosmological information from galaxy power spectra in an effective, model-independent way. Here we present its performance on the blind PT challenge mock products presented in [1]. Choosing a set-up similar to that of other participants to the blind challenge we obtained ∆ ln 10 10 A s = −0.018 ± 0.014, ∆Ω m = 0.0039 ± 0.0021 and ∆h = −0.0009 ± 0.0034, remaining below 2σ deviations for a volume of 566 h −1 Gpc 3 . This corresponds to a volume 10 times larger than the volume probed by future galaxy surveys. We also present an analysis of these mocks oriented towards an actual data analysis using the full redshift evolution, using all three redshift bins z 1 = 0.38, z 2 = 0.51, and z 3 = 0.61, and exploring different set-ups to quantify the impact of choices or assumptions on noise, bias, scale range, etc. We find consistency across reasonable changes in set-up and across redshifts and that, as expected, mapping the redshift evolution of clustering helps constraining cosmological parameters within a given model.

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Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory

Cited by 79 publications

References 143 publications

The BOSS DR12 Full-Shape Cosmology: $Λ$CDM Constraints from the Large-Scale Galaxy Power Spectrum and Bispectrum Monopole

The BOSS DR12 Full-Shape Cosmology: $Λ$CDM Constraints from the Large-Scale Galaxy Power Spectrum and Bispectrum Monopole

A rigorous EFT-based forward model for large-scale structure

PT challenge: Validation of ShapeFit on large-volume, high-resolution mocks

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