Window function convolution with deep neural network models

Alkhanishvili, Davit; Porciani, Cristiano; Sefusatti, Emiliano

doi:10.1051/0004-6361/202245156

Cited by 7 publications

(6 citation statements)

References 41 publications

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“…In view of an application to forthcoming galaxy surveys, further work is also needed to develop a suitable modeling on the survey window function on the galaxy bispectrum monopole and quadrupoles (see e.g. [93,94] for pioneering efforts in this direction).…”

Section: Discussionmentioning

confidence: 99%

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

Novell-Masot¹,

Gil-Marín²,

Verde³

2023

Preprint

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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 the geometric properties of the triangles in Fourier space, and has a broader regime of validity than state-ofthe-art theoretical models based on perturbation theory. We calibrate the free parameters of this model using high-resolution dark matter simulations and perform stringent tests to show that GEO-FPT describes the galaxy bispectrum accurately up to scales of k 0.12hMpc −1 for different cosmological models, as well as for biased tracers of the dark matter field, considering a survey volume of 100 (Gpc h −1 ) 3 . In particular, a joint analysis of the power spectrum and bispectrum anisotropic signals, taking into account their full covariance matrix, reveals that the relevant physical quantities -the BAO peak position (along and across the line-of-sight), and the growth of structure parameters times the amplitude of dark matter fluctuations, f σ 8are recovered in an unbiased way, with an accuracy better than 0.4% and 2% respectively (which is our 2σ statistical limit of the systematic error estimate). In addition, the bispectrum signal breaks the f σ 8 degeneracy without detectable bias: f and σ 8 are recovered with better than 2.7% and 3.8% accuracy respectively (which is our 2σ statistical limit of the systematic error estimate).GEO-FPT boosts the applicability of the bispectrum signal of galaxy surveys beyond the current limitation of k 0.08 h Mpc −1 and makes the bispectrum a key statistic to unlock the information content from the mildly non-linear regime in the on-going and forthcoming galaxy redshift surveys.

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Section: Discussionmentioning

confidence: 99%

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

Novell-Masot¹,

Gil-Marín²,

Verde³

2023

Preprint

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show abstract

“…In view of an application to forthcoming galaxy surveys, further work is also needed to develop a suitable modeling on the survey window function on the galaxy bispectrum monopole and quadrupoles (see e.g. [92,93] for pioneering efforts in this direction).…”

Section: Jcap11(mentioning

confidence: 99%

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

Novell-Masot,

Gualdi,

Gil-Marín

et al. 2023

J. Cosmol. Astropart. Phys.

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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 the geometric properties of the triangles in Fourier space, and has a broader regime of validity than state-of-the-art theoretical models based on perturbation theory. We calibrate the free parameters of this model using high-resolution dark matter simulations and perform stringent tests to show that GEO-FPT describes the galaxy bispectrum accurately up to scales of k ≃ 0.12hMpc-1 for different cosmological models, as well as for biased tracers of the dark matter field, considering a survey volume of 100 (Gpc h-1)3. In particular, a joint analysis of the power spectrum and bispectrum anisotropic signals, taking into account their full covariance matrix, reveals that the relevant physical quantities — the BAO peak position (along and across the line-of-sight), and the growth of structure parameters times the amplitude of dark matter fluctuations, fσ 8 — are recovered in an unbiased way, with an accuracy better than 0.4% and 2% respectively (which is our 2σ statistical limit of the systematic error estimate). In addition, the bispectrum signal breaks the fσ 8 degeneracy without detectable bias: f and σ 8 are recovered with better than 2.7% and 3.8% accuracy respectively (which is our 2σ statistical limit of the systematic error estimate). GEO-FPT boosts the applicability of the bispectrum signal of galaxy surveys beyond the current limitation of k ≲ 0.08hMpc-1 and makes the bispectrum a key statistic to unlock the information content from the mildly non-linear regime in the on-going and forthcoming galaxy redshift surveys.

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“…This allows us to avoid making simplified assumptions about the window function's action, which have led to the excision of large-scale modes in [26]; this could severely limit analyses of primordial non-Gaussianity. Whilst analytic methods for bispectrum convolution now exist (at least for the monopole, see [e.g., 52,53] for recent progress), this route still leads to a significant amplification in model complexity, which may make typical Monte Carlo Markov Chain (MCMC) analyses (with ∼ 10 6 steps [54]) infeasible. Our efforts herein are a natural extension of our previous full-shape BOSS analyses of the galaxy power spectrum [55][56][57], BAO [58], real-space power spectrum proxy [59], and bispectrum monopole [16,60,61], based on the effective field theory of large-scale structure (EFTofLSS; [62][63][64][65]).…”

Section: Introductionmentioning

confidence: 99%

Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data

Ivanov¹,

Philcox²,

Cabass³

et al. 2023

Preprint

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We present a framework for self-consistent cosmological analyses of the full-shape anisotropic bispectrum, including the quadrupole ( = 2) and hexadecapole ( = 4) moments. This features a novel window-free algorithm for extracting the latter quantities from data, derived using a maximum-likelihood prescription. Furthermore, we introduce a theoretical model for the bispectrum multipoles (which does not introduce new free parameters), and test both aspects of the pipeline on several high-fidelity mocks, including the PT Challenge suite of gigantic cumulative volume. This establishes that the systematic error is significantly below the statistical threshold, both for the measurement and modeling. As a realistic example, we extract the large-scale bispectrum multipoles from BOSS DR12 and analyze them in combination with the power spectrum data. Assuming a minimal ΛCDM model, with a BBN prior on the baryon density and a Planck prior on n s , we can extract the remaining cosmological parameters directly from the clustering data. The inclusion of the unwindowed higher-order ( > 0) large-scale bispectrum multipoles is found to moderately improve one-dimensional cosmological parameter posteriors (at the 5% − 10% level), though these multipoles are detected only in three out of four BOSS data segments at ≈ 5σ. Combining information from the power spectrum and bispectrum multipoles, the real space power spectrum, and the post-reconstructed BAO data, we find H 0 = 68.2 ± 0.8 km s −1 Mpc −1 , Ω m = 0.33 ± 0.01 and σ 8 = 0.736 ± 0.033 (the tightest yet found in perturbative full-shape analyses). Our estimate of the growth parameter S 8 = 0.77 ± 0.04 agrees with both weak lensing and CMB results. The estimators and data used in this work have been made publicly available.

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Window function convolution with deep neural network models

Cited by 7 publications

References 41 publications

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data

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