Multi-tracer power spectra and bispectra: Formalism

Abstract

The power spectrum and bispectrum of dark matter tracers are key and complementary probes of the Universe. Next-generation surveys will deliver good measurements of the bispectrum, opening the door to improved cosmological constraints and the breaking of parameter degeneracies, from the combination of the power spectrum and bispectrum. Multi-tracer power spectra have been used to suppress cosmic variance and mitigate the effects of nuisance parameters and systematics. We present a bispectrum multi-tracer formalism that can be applied to next-generation survey data. Then we perform a simple Fisher analysis to illustrate qualitatively the improved precision on primordial non-Gaussianity that is expected to come from the bispectrum multi-tracer. In addition, we investigate the parametric dependence of conditional errors from multi-tracer power spectra and multi-tracer bispectra, on the differences between the biases and the number densities of two tracers. Our results suggest that optimal constraints arise from maximising the ratio of number densities, the difference between the linear biases, the difference between the quadratic biases, and the difference between the products $b_1{b}_{\Phi }$ for each tracer, where $b_{\Phi }$ is the bias for the primordial potential.

arXiv comment30 pages, 7 figures, JCAP version

References in corpus (74)

• Efficient Computation of CMB anisotropies in closed FRW models
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Large-Scale Galaxy Bias
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Reconstructing the linear power spectrum of cosmological mass fluctuations
• Constraints on local primordial non-Gaussianity from large scale structure
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• The effect of primordial non-Gaussianity on halo bias
• Measuring the cosmological constant with redshift surveys
• Stochastic Nonlinear Galaxy Biasing
• Measuring primordial non-gaussianity without cosmic variance
• Cosmology and the Bispectrum
• Evidence for Quadratic Tidal Tensor Bias from the Halo Bispectrum
• How to measure redshift-space distortions without sample variance
• Bias in the Effective Field Theory of Large Scale Structures
• Renormalized Halo Bias
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Biased Tracers and Time Evolution
• Large-scale Bias and Efficient Generation of Initial Conditions for Non-Local Primordial Non-Gaussianity
• Constraining primordial non-Gaussianity with future galaxy surveys
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Constraining ultra large-scale cosmology with multiple tracers in optical and radio surveys
• Detectability of the effect of Inflationary non-Gaussianity on halo bias
• Cosmological information in the redshift-space bispectrum
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Hunting down horizon-scale effects with multi-wavelength surveys
• Halo Clustering with Non-Local Non-Gaussianity
• Galaxy Bias and Primordial Non-Gaussianity
• Optimal Constraints on Local Primordial Non-Gaussianity from the Two-Point Statistics of Large-Scale Structure
• Peak-Background Split, Renormalization, and Galaxy Clustering
• Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
• Why multi-tracer surveys beat cosmic variance
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Radio Galaxy populations and the multi-tracer technique: pushing the limits on primordial non-Gaussianity
• Precision analysis of the redshift-space galaxy bispectrum
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Towards a self-consistent halo model for the nonlinear large-scale structure
• Accurate Predictions for the Scale-Dependent Galaxy Bias from Primordial Non-Gaussianity
• Primordial non-Gaussianity in the large scale structure of the Universe
• Constraining primordial non-Gaussianity via a multitracer technique with surveys by Euclid and Square Kilometre Array
• Constraining primordial non-Gaussianity using two galaxy surveys and CMB lensing
• Forecasts on Primordial non-Gaussianity from 21 cm Intensity Mapping experiments
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Stochastic Biasing and Galaxy-Mass Density Relation in the Weakly Non-linear Regime
• Quantifying the Redshift Space Distortion of the Bispectrum I: Primordial Non-Gaussianity
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• The dipole of the galaxy bispectrum
• Biasing and the search for primordial non-Gaussianity beyond the local type
• The Full-Sky Angular Bispectrum in Redshift Space
• The Covariance of Squeezed Bispectrum Configurations
• Probing the primordial Universe with MeerKAT and DES
• Multitracer technique for galaxy bispectrum - An application to constraints on non-local primordial non-Gaussianities -
• Non-Gaussianity as a Probe of the Physics of the Primordial Universe and the Astrophysics of the Low Redshift Universe
• Detecting the relativistic galaxy bispectrum
• Detecting the relativistic bispectrum in 21cm intensity maps
• Learning to Concentrate: Multi-tracer Forecasts on Local Primordial Non-Gaussianity with Machine-Learned Bias
• Non-Gaussianity Constraints using Future Radio Continuum Surveys and the Multi-Tracer Technique
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• The Effective Field Theory of Large-Scale Structure and Multi-tracer
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• Cosmological constraints from the power spectrum and bispectrum of 21cm intensity maps
• Probing primordial non-Gaussianity with the power spectrum and bispectrum of future 21cm intensity maps
• Constraining primordial non-Gaussianity by combining next-generation galaxy and 21 cm intensity mapping surveys
• Wide-angle effects in the galaxy bispectrum
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

Cited by in corpus (11)

• Light Fields during Inflation from BOSS and Future Galaxy Surveys
• Taming assembly bias for primordial non-Gaussianity
• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
• Radio-optical synergies at high redshift to constrain primordial non-Gaussianity
• Constraining primordial non-Gaussianity by combining photometric galaxy and 21cm intensity mapping surveys
• Multi-tracing the primordial Universe with future surveys
• Detecting Relativistic Doppler by Multi-Tracing a Single Galaxy Population
• Multipoles of the galaxy bispectrum on a light cone: wide-separation and relativistic corrections
• Cosmic magnification in beyond-Horndeski gravity
• Probing the large-scale structure with 21cm-galaxy cross-bispectrum: Estimates from simulations and forecasts for upcoming cosmological surveys
• Sound Mode and Scale-Dependent Growth in Two-Fluid Dynamical Dark Energy