Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum

Abstract

We explore the effect of massive neutrinos on the weak lensing shear bispectrum using the Cosmological Massive Neutrino Simulations. We find that the primary effect of massive neutrinos is to suppress the amplitude of the bispectrum with limited effect on the bispectrum shape. The suppression of the bispectrum amplitude is a factor of two greater than the suppression of the small scale power-spectrum. For an LSST-like weak lensing survey that observes half of the sky with five tomographic redshift bins, we explore the constraining power of the bispectrum on three cosmological parameters: the sum of the neutrino mass $\sum m_{\nu }$, the matter density ${\Omega }_m$ and the amplitude of primordial fluctuations $A_s$. Bispectrum measurements alone provide similar constraints to the power spectrum measurements and combining the two probes leads to significant improvements than using the latter alone. We find that the joint constraints tighten the power spectrum $95\%$ constraints by $\sim 32\%$ for $\sum m_{\nu }$, $13\%$ for ${\Omega }_m$ and $57\%$ for $A_s$ .

arXiv commentTo be submitted to JCAP

References in corpus (72)

• emcee: The MCMC Hammer
• The cosmological simulation code GADGET-2
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Massive neutrinos and cosmology
• 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
• Weak Lensing of the CMB: A Harmonic Approach
• Extended Limber Approximation
• Power Spectrum Tomography with Weak Lensing
• Systematic Errors in Future Weak Lensing Surveys: Requirements and Prospects for Self-Calibration
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• Reconstruction of lensing from the cosmic microwave background polarization
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• The Skewness of the Aperture Mass Statistic
• Quantifying the effect of baryon physics on weak lensing tomography
• Spin induced galaxy alignments and their implications for weak lensing measurements
• Power Spectrum Super-Sample Covariance
• DESI and other dark energy experiments in the era of neutrino mass measurements
• Cosmology and the Bispectrum
• The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• Origins of weak lensing systematics, and requirements on future instrumentation (or knowledge of instrumentation)
• Simulations of Wide-Field Weak Lensing Surveys I: Basic Statistics and Non-Gaussian Effects
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• An efficient implementation of massive neutrinos in non-linear structure formation simulations
• Massive optimal data compression and density estimation for scalable, likelihood-free inference in cosmology
• Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• Precision photometric redshift calibration for galaxy-galaxy weak lensing
• Neutrino mass in cosmology: status and prospects
• The Microwave Background Bispectrum, Paper I: Basic Formalism
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• MassiveNuS: Cosmological Massive Neutrino Simulations
• Catastrophic photometric redshift errors: weak lensing survey requirements
• Information content of weak lensing power spectrum and bispectrum: including the non-Gaussian error covariance matrix
• Impact of post-Born lensing on the CMB
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics-I: Inference from Analytical Prediction of High Signal-to-Noise Ratio Convergence Peaks
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• Cosmological Constraints From Weak Lensing Peak Statistics With CFHT Stripe 82 Survey
• Assessment of the Information Content of the Power Spectrum and Bispectrum
• On the assumption of Gaussianity for cosmological two-point statistics and parameter dependent covariance matrices
• Weak lensing from space: first cosmological constraints from three-point shear statistics
• An improved fitting formula for the dark matter bispectrum
• Detection of non-Gaussian Signatures in the VIRMOS-DESCART Lensing Survey
• Measuring neutrino masses with a future galaxy survey
• Looking through the same lens: shear calibration for LSST, Euclid & WFIRST with stage 4 CMB lensing
• A General Study of the Influence of Catastrophic Photometric Redshift Errors on Cosmology with Cosmic Shear Tomography
• Accurate cosmic shear errors: do we need ensembles of simulations?
• An Efficient and Accurate Hybrid Method for Simulating Non-Linear Neutrino Structure
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Non-Gaussian structure of the lensed CMB power spectra covariance matrix
• Statistical and Systematic Errors in Measurement of Weak-Lensing Minkowski Functionals: Application to Canada-France-Hawaii Lensing Survey
• Neutrino masses and beyond-$\Lambda$CDM cosmology with LSST and future CMB experiments
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• Source-lens clustering effects on the skewness of the lensing convergence
• Mocking the Weak Lensing universe: the LensTools python computing package
• The Weak Lensing Bispectrum
• Detecting Bispectral Acoustic Oscillations from Inflation Using a New Flexible Estimator
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Sample variance in weak lensing: how many simulations are required?
• Joint likelihood function of cluster counts and $n$-point correlation functions: Improving their power through including halo sample variance
• CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure
• The covariance of cosmic shear correlation functions and cosmological parameter estimates using redshift information
• KiDS-450: Enhancing cosmic shear with clipping transformations
• Enhancing the Cosmic Shear Power Spectrum

Cited by in corpus (56)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Euclid preparation: IX. EuclidEmulator2 -- Power spectrum emulation with massive neutrinos and self-consistent dark energy perturbations
• Constraining $M_{\nu }$ with the Bispectrum I: Breaking Parameter Degeneracies
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Constraining $M_{\nu }$ with the Bispectrum II: The Total Information Content of the Galaxy Bispectrum
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure
• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• Constraining neutrino mass with weak lensing Minkowski Functionals
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Weak lensing scattering transform: dark energy and neutrino mass sensitivity
• Cosmic Shear Covariance Matrix in $w$CDM: Cosmology Matters
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• Fitting the nonlinear matter bispectrum by the Halofit approach
• Baryonic effects on the matter bispectrum
• Weak Lensing Minima and Peaks: Cosmological Constraints and the Impact of Baryons
• Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
• Cosmology with one galaxy?
• Noise reduction for weak lensing mass mapping: An application of generative adversarial networks to Subaru Hyper Suprime-Cam first-year data
• Denoising Weak Lensing Mass Maps with Deep Learning
• Beware of Fake $\nu$s: The Effect of Massive Neutrinos on the Nonlinear Evolution of Cosmic Structure
• Impacts of dark energy on weighing neutrinos after DESI BAO
• Machine Learning for Observational Cosmology
• On the road to percent accuracy III: non-linear reaction of the matter power spectrum to massive neutrinos
• Self-calibration of weak lensing systematic effects using combined two- and three-point statistics
• Weighing neutrinos with the halo environment
• The Weak Lensing Bispectrum Induced By Gravity
• Starlet l1-norm for weak lensing cosmology
• CSST Cosmological Emulator I: Matter Power Spectrum Emulation with one percent accuracy to k = 10 h/Mpc
• Joint velocity and density reconstruction of the Universe with nonlinear differentiable forward modeling
• Neutrino effects on the morphology of cosmic large-scale structure
• Integrated trispectrum detection from BOSS DR12 NGC CMASS
• Super-sample covariance of the power spectrum, bispectrum, halos, voids, and their cross covariances
• The self similarity of weak lensing peaks
• Quantification of high dimensional non-Gaussianities and its implication to Fisher analysis in cosmology
• Optimal void finders in weak lensing maps
• Comparing weak lensing peak counts in baryonic correction models to hydrodynamical simulations
• UNIONS: The impact of systematic errors on weak-lensing peak counts
• Sensitivity tests of cosmic velocity fields to massive neutrinos
• GEOMAX: beyond linear compression for 3pt galaxy clustering statistics
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Impact of baryonic feedback on HSC Y1 weak lensing non-Gaussian statistics
• Skewing the CMB$\times$LSS: a Fast Method for Bispectrum Analysis
• Improved Modeling of the Kinematic Sunyaev-Zel'dovich Projected-Fields signal and its Cosmological Dependence
• Improving initialization and evolution accuracy of cosmological neutrino simulations
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• The Weak Lensing Peak Statistics in the Mocks by the inverse-Gaussianization Method
• CSST Cosmological Emulator II: Generalized Accurate Halo Mass Function Emulation
• Psi-GAN: A power-spectrum-informed generative adversarial network for the emulation of large-scale structure maps across cosmologies and redshifts
• Starlet higher order statistics for galaxy clustering and weak lensing
• Massive $\nu$s through the CNN lens: interpreting the field-level neutrino mass information in weak lensing
• Higher-Order Spectra of Weak Lensing Convergence Maps in Parameterized Theories of Modified Gravity
• Signature of Massive Neutrinos from the Clustering of Critical Points. I. Density-threshold-based Analysis in Configuration Space
• Numerical investigation of non-Gaussianities in the phase and modulus of density Fourier modes
• A Novel Bispectrum Estimator of the Kinematic Sunyaev-Zel'dovich Effect using Projected Fields
• Skew-spectra: a generalization to spin-$s$