Bispectrum-window convolution via Hankel transform

Abstract

We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function. We extend a widely applied method for the power spectrum convolution to the bispectrum, taking advantage of a 2D-FFTlog algorithm. As a preliminary test of its accuracy, we consider the toy model of a spherical window function in real space. This setup provides an analytical evaluation of the 3-point function of the window, and therefore it allows to isolate and quantify possible systematic errors of the method. We find that our implementation of the convolution in terms of a mixing matrix shows differences at the percent level in comparison to the measurements from a very large set of mock halo catalogs. It is also able to recover unbiased constraints on halo bias parameters in a likelihood analysis of a set of numerical simulations with a total volume of $100h^{-3}{\mathrm{Gpc}}^3$. For the level of accuracy required by these tests, the multiplication with the mixing matrix is performed in the time of one second or less.

19+13 pages, 11 figures, 2 tables. v2: minor modifications to match published version

References in corpus (77)

• emcee: The MCMC Hammer
• Efficient Computation of CMB anisotropies in closed FRW models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Anisotropic galaxy clustering in Fourier-space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• Uncorrelated Modes of the Nonlinear Power Spectrum
• Non-Linear Evolution of the Bispectrum of Cosmological Perturbations
• Gravity and Large-Scale Non-local Bias
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• Cosmology and the Bispectrum
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• PINOCCHIO: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field
• Accurate Estimators of Correlation Functions in Fourier Space
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Measuring the galaxy power spectrum with future redshift surveys
• Fast Estimators for Redshift-Space Clustering
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• A Measurement of the Quadrupole Power Spectrum in the Clustering of the 2dF QSO Survey
• Large-scale bias in the Universe: bispectrum method
• The Bispectrum: From Theory to Observations
• The Bispectrum of IRAS Galaxies
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• Measuring line-of-sight dependent Fourier-space clustering using FFTs
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• An accurate tool for the fast generation of dark matter halo catalogs
• Cosmological information in the redshift-space bispectrum
• Redshift-weighted constraints on primordial non-Gaussianity from the clustering of the eBOSS DR14 quasars in Fourier space
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Constraints on Single-Field Inflation from the BOSS Galaxy Survey
• Beyond the plane-parallel approximation for redshift surveys
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• 2D-FFTLog: Efficient computation of real space covariance matrices for galaxy clustering and weak lensing
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Rapid modelling of the redshift-space power spectrum multipoles for a masked density field
• Precision analysis of the redshift-space galaxy bispectrum
• Interpreting measurements of the anisotropic galaxy power spectrum
• Unified galaxy power spectrum measurements from 6dFGS, BOSS, and eBOSS
• Galaxy Bispectrum from Massive Spinning Particles
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies II: cosmological interpretation
• Improving fast generation of halo catalogs with higher-order Lagrangian perturbation theory
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• The observed galaxy power spectrum in General Relativity
• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Toward a robust inference method for the galaxy bispectrum: likelihood function and model selection
• Information Content of the Angular Multipoles of Redshift-Space Galaxy Bispectrum
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Cosmology Without Window Functions: Cubic Estimators for the Galaxy Bispectrum
• A Practical Computational Method for the Anisotropic Redshift-Space 3-Point Correlation Function
• The Halo Bispectrum in N-body Simulations with non-Gaussian Initial Conditions
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Precision cosmology with redshift-space bispectrum: a perturbation theory based model at one-loop order
• Information content in the redshift-space galaxy power spectrum and bispectrum
• Three-Point Statistics from a New Perspective
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• The dipole of the galaxy bispectrum
• Gravitational Clustering from Chi^2 Initial Conditions
• Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
• The Zeldovich approximation and wide-angle redshift-space distortions
• Detecting the relativistic galaxy bispectrum
• Non-local bias in the halo bispectrum with primordial non-Gaussianity
• Primordial non-Gaussianity in the bispectra of large-scale structure
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• The clustering of galaxies in the completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Primordial non-Gaussianity in Fourier Space
• Multipoles of the relativistic galaxy bispectrum
• Optimal computation of anisotropic galaxy three point correlation function multipoles using 2DFFTLOG formalism
• Including relativistic and primordial Non-Gaussianity contributions in cosmological simulations by modifying the initial condition

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• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Modal compression of the redshift-space galaxy bispectrum
• Modelling the next-to-leading order matter three-point correlation function using FFTLog
• Wide-angle effects in the galaxy bispectrum
• Improving precision and accuracy in cosmology with model-independent spectrum and bispectrum
• Window function convolution with deep neural network models
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis
• The halo 3-point correlation function: a methodological analysis
• Window convolution of the galaxy clustering bispectrum
• Catalog-level blinding on the bispectrum for DESI-like galaxy surveys
• The imprints of massive neutrinos on the three-point correlation function of large-scale structures
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
• Multipoles of the galaxy bispectrum on a light cone: wide-separation and relativistic corrections