Constraining cosmology with thermal Sunyaev-Zel'dovich maps: Minkowski functionals, peaks, minima, and moments

Abstract

The thermal Sunyaev-Zel'dovich effect (tSZ) is a sensitive probe of cosmology, as it traces the abundance of galaxy clusters and groups in the late-time Universe. Upcoming cosmic microwave background experiments such as the Simons Observatory (SO) and CMB-S4 will provide low-noise and high-resolution component-separated tSZ maps covering a large sky fraction. The tSZ signal is highly non-Gaussian; therefore, higher-order statistics are needed to optimally extract information from these maps. In this work, we study the cosmological constraining power of several tSZ statistics -- Minkowski functionals (MFs), peaks, minima, and moments -- that have yielded promising results in capturing non-Gaussian information from other cosmological data. Using a large suite of halo-model-based tSZ simulations with varying ${\Omega }_c$ and ${\sigma }_8$ (154 cosmologies and over $800,000$ maps, each $10.5\times 10.5$ deg${}^2$), we show that by combining these observables, we can achieve $\approx 29\times$ tighter constraints compared to using the tSZ power spectrum alone in an idealized noiseless case, with the MFs dominating the constraints. We show that much of the MF constraining power arises from halos below the detection threshold of cluster surveys, suggesting promising synergies with cluster-count analyses. Finally, we demonstrate that these statistics have the potential to deliver tight constraints even in the presence of noise. For example, using post-component-separation tSZ noise expected for SO, we obtain $\approx 1.6\times$ and $\approx 1.8\times$ tighter constraints than the power spectrum with MFs and all statistics combined, respectively. We show that the constraints from MFs approach the noiseless case for white-noise levels $\lesssim 1\mu$K-arcmin.

32 pages, 23 figures, updated to match PRD version

References in corpus (63)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The Simons Observatory: Science goals and forecasts
• Cosmological Parameters from Observations of Galaxy Clusters
• The Large Scale Bias of Dark Matter Halos: Numerical Calibration and Model Tests
• Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Planck 2013 results. XX. Cosmology from Sunyaev-Zeldovich cluster counts
• Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys
• The Atacama Cosmology Telescope: Sunyaev-Zel'dovich Selected Galaxy Clusters at 148 GHz from Three Seasons of Data
• The Sunyaev-Zel'dovich angular power spectrum as a probe of cosmological parameters
• A unified pseudo-$C_{\ell }$ framework
• The Atacama Cosmology Telescope: A Catalog of > 4000 Sunyaev-Zel'dovich Galaxy Clusters
• Sunyaev - Zel'dovich fluctuations from spatial correlations between clusters of galaxies
• On the Cluster Physics of Sunyaev-Zel'dovich Surveys II: Deconstructing the Thermal SZ Power Spectrum
• Rejuvenating the matter power spectrum: restoring information with a logarithmic density mapping
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• Probing Cosmology with Weak Lensing Peak Counts
• Non-Gaussian information from weak lensing data via deep learning
• Constraints from thermal Sunyaev-Zeldovich cluster counts and power spectrum combined with CMB
• Probing Cosmology with Weak Lensing Minkowski Functionals
• Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• Minkowski Functionals of SDSS galaxies I : Analysis of Excursion Sets
• Dark Energy from the Thermal Sunyaev Zeldovich Power Spectrum
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• Cosmological constraints from Planck galaxy clusters with CMB lensing mass bias calibration
• Analytic Minkowski Functionals of the Cosmic Microwave Background: Second-order Non-Gaussianity with Bispectrum and Trispectrum
• Cosmology with Minkowski functionals and moments of the weak lensing convergence field
• Cosmology from the Thermal Sunyaev-Zel'dovich Power Spectrum: Primordial non-Gaussianity and Massive Neutrinos
• A new model to predict weak-lensing peak counts II. Parameter constraint strategies
• From Weak Lensing to non-Gaussianity via Minkowski Functionals
• Cosmological Forecast for non-Gaussian Statistics in large-scale weak Lensing Surveys
• Constraining neutrino mass with weak lensing Minkowski Functionals
• Cosmological constraints from thermal Sunyaev Zeldovich power spectrum revisited
• Mocking the Weak Lensing universe: the LensTools python computing package
• Sharpening the Precision of the Sunyaev-Zel'dovich Power Spectrum
• Bispectrum of the Sunyaev-Zel'dovich Effect
• Weak Lensing Minima and Peaks: Cosmological Constraints and the Impact of Baryons
• The effect on cosmological parameter estimation of a parameter dependent covariance matrix
• Sensitivity of the Prime-Cam Instrument on the CCAT-prime Telescope
• Combined analysis of galaxy cluster number count, thermal Sunyaev-Zel'dovich power spectrum, and bispectrum
• The Atacama Cosmology Telescope: A Measurement of the Thermal Sunyaev-Zel'dovich Effect Using the Skewness of the CMB Temperature Distribution
• Accurate Analytic Model for the Weak Lensing Convergence One-Point Probability Distribution Function and its Auto-Covariance
• Optimal non-linear transformations for large scale structure statistics
• Cosmology from weak lensing peaks and minima with Subaru Hyper Suprime-Cam survey first-year data
• Do dark matter halos explain lensing peaks?
• Projected-Field Kinetic Sunyaev-Zel'dovich Cross-Correlations: Halo Model and Forecasts
• Cosmological Constraints from Moments of the Thermal Sunyaev-Zel'dovich Effect
• Including massive neutrinos in thermal Sunyaev Zeldovich power spectrum and cluster counts analyses
• Removing the giants and learning from the crowd: a new SZ power spectrum method and revised Compton $y$-map analysis
• Cosmological Studies from HSC-SSP Tomographic Weak Lensing Peak Abundances
• An Accurate Analytic Model for the Thermal Sunyaev-Zel'dovich One-Point PDF
• Flow-Based Likelihoods for Non-Gaussian Inference
• Super-sample covariance of the thermal Sunyaev-Zel'dovich effect
• Cosmological constraints using Minkowski functionals from the first year data of the Hyper Suprime-Cam
• The Morphology of the Thermal Sunyaev-Zel'dovich Sky
• Forecasting the power of Higher Order Weak Lensing Statistics with automatically differentiable simulations
• Cosmological Constraints from Weak Lensing Peaks: Can Halo Models Accurately Predict Peak Counts?
• papaya2: 2D Irreducible Minkowski Tensor computation

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