Numerical complexity of the joint nulled weak-lensing probability distribution function
arXiv:2106.11632 · doi:10.1103/PhysRevD.105.043537
Abstract
In the context of tomographic cosmic shear surveys, there exists a nulling transformation of weak lensing observations (also called BNT transform) that allows us to simplify the correlation structure of tomographic cosmic shear observations, as well as to build observables that depend only on a localised range of redshifts and thus independent from the low-redshift/small-scale modes. This procedure renders possible accurate, and from-first-principles, predictions of the convergence and aperture mass one-point distributions (PDF). We here explore other consequences of this transformation on the (reduced) numerical complexity of the estimation of the joint PDF between nulled bins and demonstrate how to use these results to make theoretical predictions.
arXiv comment14 pages, published by PRD, comments welcome
References in corpus (23)
- LSST: from Science Drivers to Reference Design and Anticipated Data Products
- Euclid Definition Study Report
- KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
- Cosmology with cosmic shear observations: a review
- Probing the Universe with Weak Lensing
- Detection of (dark) matter concentrations via weak gravitational lensing
- The Intrinsic Alignment of Galaxies and its Impact on Weak Gravitational Lensing in an Era of Precision Cosmology
- Non-Linear Cluster Lens Reconstruction
- Intrinsic alignment of simulated galaxies in the cosmic web: implications for weak lensing surveys
- Density split statistics: joint model of counts and lensing in cells
- Cosmic Shear Cosmology Beyond 2-Point Statistics: A Combined Peak Count and Correlation Function Analysis of DES-Y1
- Back in the saddle: Large-deviation statistics of the cosmic log-density field
- Nuw CDM cosmology from the weak lensing convergence PDF
- Cosmic shear full nulling: sorting out dynamics, geometry and systematics
- Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
- Cosmological constraints from the convergence 1-point probability distribution
- k-cut Cosmic Shear: Tunable Power Spectrum Sensitivity to Test Gravity
- Accurate Analytic Model for the Weak Lensing Convergence One-Point Probability Distribution Function and its Auto-Covariance
- A Large Deviation Principle at play in Large-Scale Structure cosmology
- Euclid: The reduced shear approximation and magnification bias for Stage IV cosmic shear experiments
- x-cut Cosmic Shear: Optimally Removing Sensitivity to Baryonic and Nonlinear Physics with an Application to the Dark Energy Survey Year 1 Shear Data
- Probability distribution function of the aperture mass field with large deviation theory
- Large deviations theory approach to cosmic shear calculations: the one-point aperture mass
Cited by in corpus (3)
- Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics
- The cumulant generating function as a novel observable to cumulate weak lensing information
- Cosmological gravity on all scales V: MCMC forecasts combining large scale structure and CMB lensing for binned phenomenological modified gravity