Constraining neutrino mass with weak lensing Minkowski Functionals

Abstract

The presence of massive neutrinos affects structure formation, leaving imprints on large-scale structure observables such as the weak lensing field. The common lensing analyses with two-point statistics are insensitive to the large amount of non-Gaussian information in the density field. We investigate non-Gaussian tools, in particular the Minkowski Functionals (MFs)---morphological descriptors including area, perimeter, and genus---in an attempt to recover the higher-order information. We use convergence maps from the Cosmological Massive Neutrino Simulations (\texttt{MassiveNus}) and assume galaxy noise, density, and redshift distribution for an LSST-like survey. We show that MFs are sensitive to the neutrino mass sum, and the sensitivity is redshift dependent and is non-Gaussian. We find that redshift tomography significantly improves the constraints on neutrino mass for MFs, compared to the improvements for the power spectrum. We attribute this to the stronger redshift dependence of neutrino effects on small scales. We then build an emulator to model the power spectrum and MFs, and study the constraints on $[M_{\nu }$, ${\Omega }_m$, $A_s]$ from the power spectrum, MFs, and their combination. We show that MFs significantly outperform the power spectrum in constraining neutrino mass, by more than a factor of four. However, a thorough study of the impact from systematics such as baryon physics and galaxy shape and redshift biases will be important to realize the full potential of MFs.

17 pages, 6 figures

References in corpus (47)

• emcee: The MCMC Hammer
• The cosmological simulation code GADGET-2
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Weak Gravitational Lensing
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Massive neutrinos and cosmology
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days
• CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Weak Gravitational Lensing and its Cosmological Applications
• Power Spectrum Tomography with Weak Lensing
• Weak lensing for precision cosmology
• An efficient implementation of massive neutrinos in non-linear structure formation simulations
• Dark Energy and Matter Evolution from Lensing Tomography
• Primordial Non-Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large-scale Structure
• Topology Analysis of the Sloan Digital Sky Survey: I. Scale and Luminosity Dependences
• MassiveNuS: Cosmological Massive Neutrino Simulations
• Probing Cosmology with Weak Lensing Minkowski Functionals
• CMB lensing tomography with the DES Science Verification galaxies
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• Analytic Minkowski Functionals of the Cosmic Microwave Background: Second-order Non-Gaussianity with Bispectrum and Trispectrum
• Measuring neutrino masses and dark energy with weak lensing tomography
• Cosmology with Minkowski functionals and moments of the weak lensing convergence field
• Constraining neutrino mass with tomographic weak lensing one-point probability distribution function and power spectrum
• Non Gaussianity and Minkowski Functionals: forecasts for Planck
• An Efficient and Accurate Hybrid Method for Simulating Non-Linear Neutrino Structure
• On the validity of the Born approximation for beyond-Gaussian weak lensing observables
• Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum
• Neutrino masses and beyond-$\Lambda$CDM cosmology with LSST and future CMB experiments
• Constraining neutrino mass with tomographic weak lensing peak counts
• Statistical and Systematic Errors in Measurement of Weak-Lensing Minkowski Functionals: Application to Canada-France-Hawaii Lensing Survey
• Mocking the Weak Lensing universe: the LensTools python computing package
• The Effect of Primordial Non--Gaussianity on the Topology of Large-Scale Structure
• Testing (modified) gravity with 3D and tomographic cosmic shear
• Combining weak lensing tomography and spectroscopic redshift surveys
• New probe of departures from general relativity using Minkowski functionals
• Cosmology with photometric weak lensing surveys: constraints with redshift tomography of convergence peaks and moments
• Local analyses of Planck maps with Minkowski Functionals
• A Neural-Network based estimator to search for primordial non-Gaussianity in Planck CMB maps
• Searching for primordial non-Gaussianity in Planck CMB maps using a combined estimator
• Tomographic local 2D analyses of the WISExSuperCOSMOS all-sky galaxy catalogue
• Lensing-induced morphology changes in CMB temperature maps in modified gravity theories

Cited by in corpus (51)

• Challenges for $\Lambda$CDM: An update
• Cosmological parameter analyses using transversal BAO data
• BAO angular scale at z_eff = 0.11 with the SDSS blue galaxies
• Weak lensing scattering transform: dark energy and neutrino mass sensitivity
• Cosmic Shear Covariance Matrix in $w$CDM: Cosmology Matters
• Gravitational deflection of relativistic massive particles by wormholes
• Learning cosmology and clustering with cosmic graphs
• Persistent homology in cosmic shear: constraining parameters with topological data analysis
• Inferring $S_8(z)$ and $\gamma (z)$ with cosmic growth rate measurements using machine learning
• Interpreting deep learning models for weak lensing
• Weak Lensing Minima and Peaks: Cosmological Constraints and the Impact of Baryons
• Cosmology with one galaxy?
• Denoising Weak Lensing Mass Maps with Deep Learning
• Noise reduction for weak lensing mass mapping: An application of generative adversarial networks to Subaru Hyper Suprime-Cam first-year data
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Machine Learning for Observational Cosmology
• Cosmology from weak lensing peaks and minima with Subaru Hyper Suprime-Cam survey first-year data
• The homogeneity scale and the growth rate of cosmic structures
• Observational constraints on Starobinsky $f(R)$ cosmology from cosmic expansion and structure growth data
• Starlet l1-norm for weak lensing cosmology
• Joint velocity and density reconstruction of the Universe with nonlinear differentiable forward modeling
• Neutrino effects on the morphology of cosmic large-scale structure
• Probing massive neutrinos with the Minkowski functionals of large-scale structure
• Investigating Cosmological GAN Emulators Using Latent Space Interpolation
• Probing massive neutrinos with the Minkowski functionals of the galaxy distribution
• Higher order statistics of shear field: a machine learning approach
• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Full-sky, arcminute-scale, 3D models of Galactic microwave foreground dust emission based on filaments
• The self similarity of weak lensing peaks
• Super-sample covariance of the power spectrum, bispectrum, halos, voids, and their cross covariances
• Accelerating cosmological inference with Gaussian processes and neural networks -- an application to LSST Y1 weak lensing and galaxy clustering
• Optimizing simulation parameters for weak lensing analyses involving non-Gaussian observables
• Quantification of high dimensional non-Gaussianities and its implication to Fisher analysis in cosmology
• Comparing weak lensing peak counts in baryonic correction models to hydrodynamical simulations
• Cosmological constraints using Minkowski functionals from the first year data of the Hyper Suprime-Cam
• Optimal void finders in weak lensing maps
• Post-Born corrections to the one-point statistics of (CMB) lensing convergence obtained via large deviation theory
• Sensitivity tests of cosmic velocity fields to massive neutrinos
• Impact of baryonic feedback on HSC Y1 weak lensing non-Gaussian statistics
• Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit
• Imprint of massive neutrinos on Persistent Homology of large-scale structure
• Measuring the matter fluctuations in the Local Universe with the ALFALFA catalog
• Cosmological constraints from low redshift 21 cm intensity mapping with machine learning
• Stage IV baryonic feedback correction for non-Gaussianity inference
• Cosmology from Point Clouds with Dark Matter Halos from the Quijote Simulations
• Massive $\nu$s through the CNN lens: interpreting the field-level neutrino mass information in weak lensing
• Updated Cosmological Constraints from 2D BAO Measurements: A New Compilation and Comparison with DESI DR2
• Constraining cosmology with thermal Sunyaev-Zel'dovich maps: Minkowski functionals, peaks, minima, and moments
• Gravitational deflection of light in polar-axis plane of a moving Kerr-Newman black hole
• A Minkowski Functional Analysis of the Cosmic Microwave Background Weak Lensing Convergence
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole