Probing dark energy with the shear-ratio geometric test

Abstract

We adapt the Jain--Taylor (2003) shear-ratio geometric lensing method to measure the dark energy equation of state, and its time derivative from dark matter haloes in cosmologies with arbitrary spatial curvature. The full shear-ratio covariance matrix is calculated for lensed sources, including the intervening large-scale structure and photometric redshift errors as additional sources of noise, and a maximum likelihood method for applying the test is presented. Combining with the expected results from the CMB we design an optimal survey for probing dark energy. A targeted survey imaging 60 of the largest clusters in a hemisphere with 5-band optical photometric redshifts to a median galaxy depth of zm=0.9 could measure w0 to a marginal 1-sigma error of $\Delta$w0=0.5. We marginalize over all other parameters including wa, where the equation of state is parameterized in terms of scale factor a as w(a)=w0+wa(1-a). For higher accuracy a large-scale photometric redshift survey is required. Such a near-future 5-band survey covering 10,000 square degrees to z_m=0.7 could measure w0 to $\Delta$w0=0.075 and $\Delta$wa=0.33. A stronger combined constraint is measured at a pivot redshift zp=0.27 of $\Delta$w(zp)=0.0298. We compare and combine the geometric test with the cosmological and dark energy parameters measured from planned Baryon Acoustic Oscillation (BAO) and supernova Type Ia experiments, and find that the geometric test results combine with a significant reduction in errors due to different degeneracies. A combination of geometric lensing, CMB and BAO experiments could achieve a pivot redshift constraint of $\Delta$w(zp)=0.020 at zp=0.62. Simple relations are presented that show how our lensing results can be scaled to other telescope classes and survey parameters.

30 pages, 29 figures. Accepted to MNRAS. Figures now grayscale. Scaling between SIS and NFW profiles is now mass, redshift and cosmology dependant. Further discussion on photometric redshifts and outliers

References in corpus (1)

• Measuring dark energy properties with 3D cosmic shear

Cited by in corpus (35)

• Measuring the dark side (with weak lensing)
• Cosmology with Weak Lensing Surveys
• COSMOS: 3D weak lensing and the growth of structure
• Bayesian Galaxy Shape Measurement for Weak Lensing Surveys -I. Methodology and a Fast Fitting Algorithm
• Constraints on intrinsic alignment contamination of weak lensing surveys using the MegaZ-LRG sample
• On model selection forecasting, Dark Energy and modified gravity
• Optimal Surveys for Weak Lensing Tomography
• Combining Lens Distortion and Depletion to Map the Mass Distribution of A1689
• Bayesian Galaxy Shape Measurement for Weak Lensing Surveys -II. Application to Simulations
• Euclid. II. The VIS Instrument
• Cosmological constraints from COMBO-17 using 3D weak lensing
• The effect of modified gravity on weak lensing
• Euclid preparation: XIX. Impact of magnification on photometric galaxy clustering
• Cosmological Systematics Beyond Nuisance Parameters : Form Filling Functions
• What it takes to solve the Hubble tension through modifications of cosmological recombination
• Beware of commonly used approximations I: errors in forecasts
• Measuring the Cosmic Shear in Fourier Space
• Beware of commonly used approximations II: estimating systematic biases in the best-fit parameters
• Biased Tracers of Two Fluids in the Lagrangian Picture
• Magnification Bias Corrections to Galaxy-Lensing Cross-Correlations
• 3D Weak Gravitational Lensing of the CMB and Galaxies
• Post-Limber Weak Lensing Bispectrum, Reduced Shear Correction, and Magnification Bias Correction
• Photometric redshifts and intrinsic alignments: degeneracies and biases in 3$\times$2pt analysis
• Fundamental Uncertainty in the BAO Scale from Isocurvature Modes
• Likelihood-free Forward Modeling for Cluster Weak Lensing and Cosmology
• The full-sky Spherical Fourier-Bessel power spectrum in general relativity
• An unbiased method of measuring the ratio of two data sets
• Impact of intrinsic alignments on clustering constraints of the growth rate
• Reconstructing the Thermal Sunyaev-Zel'dovich Effect in 3D
• Accessing the high-$\ell$ frontier under the Reduced Shear Approximation with $k$-cut Cosmic Shear
• Weak lensing reconstructions in 2D & 3D: implications for cluster studies
• Measuring dark energy with the shear triplet statistics
• Hyper Suprime-Cam Y3 results: photo-$z$ bias calibration with lensing shear ratios and cosmological constraints from cosmic shear
• Reconstructing spatially-varying multiplicative bias for Stage IV weak lensing galaxy surveys with a quadratic estimator
• Local environmental dependence on weak-lensing shear statistics