Increasing the Lensing Figure of Merit through Higher Order Convergence Moments
arXiv:1802.02963 · doi:10.1103/PhysRevD.97.023519
Abstract
The unprecedented quality, the increased dataset, and the wide area of ongoing and near future weak lensing surveys allows to move beyond the standard two points statistics thus making worthwhile to investigate higher order probes. As an interesting step towards this direction, we expolore the use of higher order moments (HOM) of the convergence field as a way to increase the lensing Figure of Merit (FoM). To this end, we rely on simulated convergence to first show that HOM can be measured and calibrated so that it is indeed possible to predict them for a given cosmological model provided suitable nuisance parameters are introduced and then marginalized over. We then forecast the accuracy on cosmological parameters from the use of HOM alone and in combination with standard shear power spectra tomography. It turns out that HOM allow to break some common degeneracies thus significantly boosting the overall FoM. We also qualitatively discuss possible systematics and how they can be dealt with.
arXiv comment25 pages, 5 figures, This paper extends and replaces arXiv:1606.03892. It matches PRD accepted version after minor changes
References in corpus (57)
- Planck 2015 results. XIII. Cosmological parameters
- Dynamics of dark energy
- Modified Gravity and Cosmology
- Cosmological Constant - the Weight of the Vacuum
- The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
- Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
- Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
- Observational Probes of Cosmic Acceleration
- NYU-VAGC: a galaxy catalog based on new public surveys
- Beyond the Cosmological Standard Model
- The Galaxy Luminosity Function and Luminosity Density at Redshift z=0.1
- The Dark Energy Survey: more than dark energy - an overview
- Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
- Cosmology and fundamental physics with the Euclid satellite
- Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
- Galaxy Clustering in the Completed SDSS Redshift Survey: The Dependence on Color and Luminosity
- CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
- Intrinsic alignment-lensing interference as a contaminant of cosmic shear
- The Shear TEsting Programme 1: Weak lensing analysis of simulated ground-based observations
- Intrinsic and Extrinsic Galaxy Alignment
- The Shear TEsting Programme 2: Factors affecting high precision weak lensing analyses
- The properties and luminosity function of extremely low luminosity galaxies
- Cosmological parameters from lensing power spectrum and bispectrum tomography
- CFHTLenS: Combined probe cosmological model comparison using 2D weak gravitational lensing
- Ray Tracing Simulations of Weak Lensing by Large-Scale Structure
- Cosmological Model Predictions for Weak Lensing: Linear and Nonlinear Regimes
- The first and second data releases of the Kilo-Degree Survey
- Galaxy alignments: An overview
- Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
- The MICE Grand Challenge Lightcone Simulation I: Dark matter clustering
- Origins of weak lensing systematics, and requirements on future instrumentation (or knowledge of instrumentation)
- The MICE Grand Challenge Lightcone Simulation III: Galaxy lensing mocks from all-sky lensing maps
- The MICE Grand Challenge Lightcone Simulation II: Halo and Galaxy catalogues
- Galaxy alignments: Observations and impact on cosmology
- An algorithm to build mock galaxy catalogues using MICE simulations
- Searching for massive clusters in weak lensing surveys
- Galaxy alignments: Theory, modelling and simulations
- CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
- Cosmic shear results from the deep lens survey - I: Joint constraints on omega_m and sigma_8 with a two-dimensional analysis
- Intrinsic alignments of galaxies in the Horizon-AGN cosmological hydrodynamical simulation
- 3D Cosmic Shear: Cosmology from CFHTLenS
- Defining a weak lensing experiment in space
- Tomography of lensing cross power spectra
- Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
- Planck 2015 results. XVIII. Background geometry & topology
- The Statistics of Weak Lensing at Small Angular Scales: Probability Distribution Function
- FASTLens (FAst STatistics for weak Lensing) : Fast method for Weak Lensing Statistics and map making
- The BOSS-WiggleZ overlap region I: Baryon Acoustic Oscillations
- Statistics of Weak Lensing at Small Angular Scales: Analytical Predictions for Lower Order Moments
- Wide-Field Lensing Mass Maps from DES Science Verification Data
- Weak Lensing Statistics as a Probe of Omega and Power Spectrum
- MultiDarkLens Simulations: weak lensing light-cones and data base presentation
- Cosmology with photometric weak lensing surveys: constraints with redshift tomography of convergence peaks and moments
- On the estimation of gravity-induced non-Gaussianities from weak lensing surveys
- Statistical properties of the convergence due to weak gravitational lensing by non-linear structures
- The impact of spurious shear on cosmological parameter estimates from weak lensing observables
- The power spectrum of systematics in cosmic shear tomography and the bias on cosmological parameters
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- Dark Energy Survey Year 3 results: curved-sky weak lensing mass map reconstruction
- Breaking degeneracies in modified gravity with higher (than 2nd) order weak-lensing statistics
- Weak Lensing Light-Cones in Modified Gravity simulations with and without Massive Neutrinos
- Nuw CDM cosmology from the weak lensing convergence PDF
- Dark Energy Survey Year 3 results: cosmology with moments of weak lensing mass maps -- validation on simulations
- Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
- Probing dark energy with tomographic weak-lensing aperture mass statistics
- Euclid: Reconstruction of Weak Lensing mass maps for non-Gaussianity studies
- Minkowski Functionals of Convergence Maps and the Lensing Figure of Merit
- Starlet l1-norm for weak lensing cosmology
- Higher order statistics of shear field: a machine learning approach
- A comparative study of cosmological constraints from weak lensing using Convolutional Neural Networks
- Minkowski Functionals in Joint Galaxy Clustering & Weak Lensing Analyses
- A roadmap to cosmological parameter analysis with third-order shear statistics III: Efficient estimation of third-order shear correlation functions and an application to the KiDS-1000 data
- Accurate Kappa Reconstruction Algorithm for masked shear catalog (AKRA)
- AKRA 2.0: Accurate Kappa Reconstruction Algorithm for masked shear catalog
- Reconstruction of weak lensing mass maps for non-Gaussian studies in the celestial sphere