Dark matter and halo bispectrum in redshift space: theory and applications

Abstract

We present a phenomenological modification of the standard perturbation theory prediction for the bispectrum in redshift space that allows us to extend the model to mildly non-linear scales over a wide range of redshifts, $z\le 1.5$. We find that we can describe the bispectrum of dark matter particles with $\sim 5$ accuracy for $k_i\lesssim 0.10h/\mathrm{Mpc}$ at $z=0$, for $k_i\lesssim 0.15h/\mathrm{Mpc}$ at $z=0.5$, for $k_i\lesssim 0.17h/\mathrm{Mpc}$ at $z=1.0$ and for $k_i\lesssim 0.20h/\mathrm{Mpc}$ at $z=1.5$. We also test that the fitting formula is able to describe with similar accuracy the bispectrum of cosmologies with different ${\Omega }_m$, in the range $0.2\lesssim {\Omega }_m\lesssim 0.4$, and consequently with different values of the logarithmic grow rate $f$ at $z=0$, $0.4\lesssim f(z=0)\lesssim 0.6$. We apply this new formula to recover the bias parameters, $f$ and ${\sigma }_8$, by combining the redshift space power spectrum monopole and quadrupole with the bispectrum monopole for both dark matter particles and haloes. We find that the combination of these three statistics can break the degeneracy between $b_1$, $f$ and ${\sigma }_8$. For dark matter particles the new model can be used to recover $f$ and ${\sigma }_8$ with $\sim 1$ accuracy. For dark matter haloes we find that $f$ and ${\sigma }_8$ present larger systematic shifts, $\sim 10$. The systematic offsets arise because of limitations in the modelling of the interplay between bias and redshift space distortions, and represent a limitation as the statistical errors of forthcoming surveys reach this level. Conveniently, we find that these residual systematics are mitigated for combinations of parameters. The improvement on the modelling of the bispectrum presented in this paper will be useful for extracting information from current and future galaxy surveys. [abridged]

arXiv comment37 pages, 17 figures, 8 tables. Published in JCAP

References in corpus (65)

• Planck 2013 results. XVI. Cosmological parameters
• The cosmological simulation code GADGET-2
• Efficient Computation of CMB anisotropies in closed FRW models
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• SDSS-III: Massive Spectroscopic Surveys of the Distant Universe, the Milky Way Galaxy, and Extra-Solar Planetary Systems
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cosmology and Fundamental Physics with the Euclid Satellite
• Euclid Definition Study Report
• Cosmology and fundamental physics with the Euclid satellite
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Renormalized Cosmological Perturbation Theory
• The WiggleZ Dark Energy Survey: Survey Design and First Data Release
• Fingers of God
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• Report of the Dark Energy Task Force
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Testing gravity with redshift-space distortions using the power spectrum multipoles
• 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
• The clustering of massive galaxies at z~0.5 from the first semester of BOSS data
• Cosmology and the Bispectrum
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• Correcting for the alias effect when measuring the power spectrum using FFT
• Second Order Power Spectrum and Nonlinear Evolution at High Redshift
• Towards an accurate model of the redshift space clustering of halos in the quasilinear regime
• Convolution Lagrangian perturbation theory for biased tracers
• The power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Large-scale bias in the Universe: bispectrum method
• The Bispectrum: From Theory to Observations
• The bias field of dark matter haloes
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• A Fitting Formula for the Non-Linear Evolution of the Bispectrum
• Redshift space distortions in f(R) gravity
• Redshift space correlations and scale-dependent stochastic biasing of density peaks
• An improved fitting formula for the dark matter bispectrum
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• Large-scale bias in the Universe II: redshift space bispectrum
• On the Distribution of Haloes, Galaxies and Mass
• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• The Local Bias Model in the Large Scale Halo Distribution
• Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
• Baryon Acoustic Oscillations in 2D II: Redshift-space halo clustering in N-body simulations
• Distribution function approach to redshift space distortions, Part III: halos and galaxies
• On the trispectrum as a gaussian test for cosmology
• Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos
• The spatial and velocity bias of linear density peaks and proto-haloes in the Lambda cold dark matter cosmology
• Redshift Distortions of Clustering: A Lagrangian Approach
• Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces
• Eulerian Perturbation Theory in Non-Flat Universes: Second-Order Approximation
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• Non-local halo bias with and without massive neutrinos
• Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum
• Anisotropies in the Gravitational-Wave Stochastic Background
• Combining perturbation theories with halo models for the matter bispectrum
• Bispectrum of cosmological density perturbations in the most general second-order scalar-tensor theory
• Statistics of Fourier Modes in Non-Gaussian Fields
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum
• Halo/Galaxy Bispectrum with Primordial non-Gaussianity from integrated Perturbation Theory (iPT)
• The bias of galaxies and the density of the universe from the 2dF galaxy redshift survey
• Perturbation Theory Trispectrum in the Time Renormalisation Approach

Cited by in corpus (43)

• 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 power spectrum and bispectrum of SDSS DR11 BOSS galaxies I: bias and gravity
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS 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
• Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
• Cosmological information in the redshift-space bispectrum
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Gravity test from the combination of redshift-space distortions and galaxy-galaxy lensing at $0.5<z<1.2$
• Line-Intensity Mapping: Theory Review
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• ShapeFit: extracting the power spectrum shape information in galaxy surveys beyond BAO and RSD
• Galaxy Bispectrum from Massive Spinning Particles
• Near optimal bispectrum estimators for large-scale structure
• A User's Guide to Extracting Cosmological Information from Line-Intensity Maps
• 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
• Modeling the large-scale redshift-space 3-point correlation function of galaxies
• Enhancing BOSS bispectrum cosmological constraints with maximal compression
• Matter trispectrum: theoretical modelling and comparison to N-body simulations
• Galaxy power-spectrum responses and redshift-space super-sample effect
• The Completed SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: N-body Mock Challenge for Galaxy Clustering Measurements
• Position-dependent correlation function from the SDSS-III Baryon Oscillation Spectroscopic Survey Data Release 10 CMASS Sample
• The Halo Bispectrum Multipoles in Redshift Space
• Geometrical compression: a new method to enhance the BOSS galaxy bispectrum monopole constraints
• Testing gravity with galaxy-galaxy lensing and redshift-space distortions using CFHT-Stripe 82, CFHTLenS and BOSS CMASS datasets
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• C${}^3$-Cluster Clustering Cosmology I. New constraints on the cosmic growth rate at z~0.3 from redshift-space clustering anisotropies
• Cosmological constraints from the power spectrum and bispectrum of 21cm intensity maps
• The HI intensity mapping bispectrum including observational effects
• Density reconstruction from biased tracers and its application to primordial non-Gaussianity
• Modelling the matter bispectrum at small scales in modified gravity
• Modelling the post-reionization neutral hydrogen ($\mathrm{HI}$) 21-cm bispectrum
• The $n$-point streaming model: how velocities shape correlation functions in redshift space
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• Probing redshift-space distortions with phase correlations
• Non-Gaussianity in DHOST inflation
• Constraining the growth rate of structure with phase correlations
• Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
• Catalog-level blinding on the bispectrum for DESI-like galaxy surveys
• Projected two- and three-point statistics: Forecasts and mitigation of non-linear RSDs
• Multipoles of the galaxy bispectrum on a light cone: wide-separation and relativistic corrections
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order