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.

30 pages, 7 figures, JCAP version

References in corpus (18)

• 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
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• Measuring primordial non-gaussianity without cosmic variance
• Cosmology and the Bispectrum
• Primordial non-gaussianity, statistics of collapsed objects, and the Integrated Sachs-Wolfe effect
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• 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
• Quantifying the Redshift Space Distortion of the Bispectrum I: Primordial Non-Gaussianity
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
• Probing the primordial Universe with MeerKAT and DES
• Non-Gaussianity as a Probe of the Physics of the Primordial Universe and the Astrophysics of the Low Redshift Universe
• Learning to Concentrate: Multi-tracer Forecasts on Local Primordial Non-Gaussianity with Machine-Learned Bias
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Local primordial non-Gaussianity in the relativistic galaxy bispectrum
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales

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• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
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• 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