The Halo Bispectrum Multipoles in Redshift Space

Abstract

We present the analysis of the halo bispectrum in redshift-space in terms of its multipoles, monopole, quadrupole and hexadecapole, measured from a large set of simulations. We fit such measurements with a tree-level model in perturbation theory that depends on linear and nonlinear bias parameters as well as on the growth rate $f$ of density fluctuations. The likelihood analysis takes advantage of a very large set of mock catalogs, enabling a robust estimation of the covariance properties for all multipoles. We compare the numerical estimate of the covariance matrix to its Gaussian prediction finding discrepancies of 10% or less for all configurations with the sole exception of the squeezed triangles in the monopole case. We find the range of validity of the tree-level model, for the total simulation volume of about 1000 $h^{-3}{\mathrm{Gpc}}^3$, reaches a maximum wavenumber of $0.08h{\mathrm{Mpc}}^{-1}$ for the monopole, while it is limited to $0.06$ and $0.045h{\mathrm{Mpc}}^{-1}$ respectively for quadrupole and hexadecapole. Despite this, the addition of the quadrupole to the analysis allows for significant improvements on the determination of the model parameters and specifically on $f$, similarly to the power spectrum case. Finally, we compare our numerical estimate for the full covariance with its theoretical prediction in the Gaussian approximation and find the latter to work remarkably well in the context of simulation boxes with periodic boundary condition.

arXiv comment30 pages, 10 figures, comments welcome

References in corpus (71)

• Efficient Computation of CMB anisotropies in closed FRW models
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• GADGET: A code for collisionless and gasdynamical cosmological simulations
• Large-Scale Galaxy Bias
• Nonlinear Evolution of Baryon Acoustic Oscillations
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Biasing and Hierarchical Statistics in Large-scale Structure
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The DESI Experiment, a whitepaper for Snowmass 2013
• 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
• Gravity and Large-Scale Non-local Bias
• The Bispectrum as a Signature of Gravitational Instability in Redshift-Space
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• The IR-resummed Effective Field Theory of Large Scale Structures
• Parameter inference with estimated covariance matrices
• 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
• Equivalence Principle and the Baryon Acoustic Peak
• Fast Estimators for Redshift-Space Clustering
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Large-scale bias in the Universe: bispectrum method
• The Bispectrum: From Theory to Observations
• Blinded challenge for precision cosmology with large-scale structure: results from effective field theory for the redshift-space galaxy power spectrum
• Precision measurement of the local bias of dark matter halos
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• Infrared Resummation for Biased Tracers in Redshift Space
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• An accurate tool for the fast generation of dark matter halo catalogs
• Detection of Baryon Acoustic Oscillation Features in the Large-Scale 3-Point Correlation Function of SDSS BOSS DR12 CMASS Galaxies
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
• Cosmological information in the redshift-space bispectrum
• Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
• 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
• Non-local Lagrangian bias
• The Galaxy Power Spectrum and Bispectrum in Redshift Space
• Precision analysis of the redshift-space galaxy bispectrum
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Large-scale bias in the Universe II: redshift space bispectrum
• Beyond LIMD bias: a measurement of the complete set of third-order halo bias parameters
• Comparing approximate methods for mock catalogues and covariance matrices III: Bispectrum
• A Detection of the Baryon Acoustic Oscillation Features in the SDSS BOSS DR12 Galaxy 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
• Towards a self-consistent halo model for the nonlinear large-scale structure
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• 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
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• A Practical Computational Method for the Anisotropic Redshift-Space 3-Point Correlation Function
• The non-Gaussianity of the cosmic shear likelihood - or: How odd is the Chandra Deep Field South?
• Dark matter and halo bispectrum in redshift space: theory and applications
• 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
• Testing one-loop galaxy bias: Power spectrum
• Shot noise and biased tracers: a new look at the halo model
• Cosmology with anisotropic galaxy clustering from the combination of power spectrum and bispectrum
• The Covariance of Squeezed Bispectrum Configurations
• Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
• The squeezed matter bispectrum covariance with responses
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: measuring the evolution of the growth rate using redshift space distortions between redshift 0.8 and 2.2
• Modal compression of the redshift-space galaxy bispectrum
• A joint 2- and 3-point clustering analysis of the VIPERS PDR2 catalogue at z~1: breaking the degeneracy of cosmological parameters
• GEOMAX: beyond linear compression for 3pt galaxy clustering statistics

Cited by in corpus (20)

• Cosmology with the EFTofLSS and BOSS: dark energy constraints and a note on priors
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• Modified gravity and massive neutrinos: constraints from the full shape analysis of BOSS galaxies and forecasts for Stage IV surveys
• Interacting dark energy from the joint analysis of the power spectrum and bispectrum multipoles with the EFTofLSS
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Unveiling dark forces with measurements of the Large Scale Structure of the Universe
• Cosmological constraints from the power spectrum and bispectrum of 21cm intensity maps
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• Modal compression of the redshift-space galaxy bispectrum
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Wide-angle effects in the galaxy bispectrum
• Interacting dark energy constraints from the full-shape analyses of BOSS DR12 and DES Year 3 measurements
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• The halo 3-point correlation function: a methodological analysis
• Bispectrum constraints on Primordial non-Gaussianities with the eBOSS DR16 quasars
• Brisk estimator for the angular multipoles of the redshift space bispectrum
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Mixing Bispectrum Multipoles Under Geometric Distortions
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study