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Cosmology and the Bispectrum
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The present spatial distribution of galaxies in the Universe is non-Gaussian, with 40% skewness in 50 Mpc/h spheres, and remarkably little is known about the information encoded in it about cosmological parameters beyond the power spectrum. In this work we present an attempt to bridge this gap by studying the bispectrum, paying particular attention to a joint analysis with the power spectrum and their combination with CMB data. We address the covariance properties of the power spectrum and bispectrum including the effects of beat coupling that lead to interesting cross-correlations, and discuss how baryon acoustic oscillations break degeneracies. We show that the bispectrum has significant information on cosmological parameters well beyond its power in constraining galaxy bias, and when combined with the power spectrum is more complementary than combining power spectra of different samples of galaxies, since non-Gaussianity provides a somewhat different direction in parameter space. In the framework of flat cosmological models we show that most of the improvement of adding bispectrum information corresponds to parameters related to the amplitude and effective spectral index of perturbations, which can be improved by almost a factor of two. Moreover, we demonstrate that the expected statistical uncertainties in sigma8 of a few percent are robust to relaxing the dark energy beyond a cosmological constant.
Forward citations
Cited by 13 Pith papers
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Wedge-avoidance Fisher Forecasts for Primordial Non-Gaussianity from Dark-Ages 21-cm Power Spectrum and Bispectrum
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Sound Mode and Scale-Dependent Growth in Two-Fluid Dynamical Dark Energy
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One-Loop Galaxy Bispectrum: Consistent Theory, Efficient Analysis with COBRA, and Implications for Cosmological Parameters
Using the COBRA basis, the one-loop EFT galaxy bispectrum runs in about one second per cosmology and recovers the input cosmology of PTChallenge simulations up to k_max = 0.15 h/Mpc (monopole) and 0.12 h/Mpc (higher m...
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A joint power spectrum, bispectrum and trispectrum analysis achieves the same precision on the density amplitude as field-level inference for halos on large scales.
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Novel implementation of anisotropic 3PCF model and estimator tested on 298 halo catalogs shows degeneracy breaking between f and b1 in 3PCF-only analysis but limited added value in joint 2PCF+3PCF due to tree-level mo...
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Joint power spectrum and bispectrum analysis from future HI intensity mapping surveys improves constraints on primordial feature amplitudes by 30-40% and achieves percent-level precision on oscillation frequencies whe...
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Field-level vs summaries: convergence of information in non-Gaussian density fields
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Constraining Scale-Dependent Growth in $f(R)$ Gravity with Future 21 cm Surveys
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Cosmology with Intensity Mapping via Statistics Beyond the Power Spectrum in the SKAO Era
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