A new model to predict weak-lensing peak counts I. Comparison with $N$-body Simulations

Abstract

Weak-lensing peak counts has been shown to be a powerful tool for cosmology. It provides non-Gaussian information of large scale structures, complementary to second order statistics. We propose a new flexible method to predict weak lensing peak counts, which can be adapted to realistic scenarios, such as a real source distribution, intrinsic galaxy alignment, mask effects, photo-$z$ errors from surveys, etc. The new model is also suitable for applying the tomography technique and non-linear filters. A probabilistic approach to model peak counts is presented. First, we sample halos from a mass function. Second, we assign them NFW profiles. Third, we place those halos randomly on the field of view. The creation of these "fast simulations" requires much less computing time compared to $N$-body runs. Then, we perform ray-tracing through these fast simulation boxes and select peaks from weak-lensing maps to predict peak number counts. The computation is achieved by our \textsc{Camelus} algorithm, which we make available at http://www.cosmostat.org/software/camelus/ . We compare our results to $N$-body simulations to validate our model. We find that our approach is in good agreement with full $N$-body runs. We show that the lensing signal dominates shape noise and Poisson noise for peaks with SNR between 4 and 6. Also, counts from the same SNR range are sensitive to ${\Omega }_{\mathrm{m}}$ and ${\sigma }_8$. We show how our model can discriminate between various combinations of those two parameters. In summary, we offer a powerful tool to study weak lensing peaks. The potential of our forward model is its high flexibility, making the use of peak counts under realistic survey conditions feasible.

arXiv comment10 pages, 7 figures. Our code is available at http://www.cosmostat.org/software/camelus/ . Published version

References in corpus (38)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• The cosmological simulation code GADGET-2
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Profiles of dark haloes: evolution, scatter, and environment
• Mass function of dark matter halos
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• A new measure for cosmic shear
• PINOCCHIO: pinpointing orbit-crossing collapsed hierarchical objects in a linear density field
• The Three-Point Correlation Function in Cosmology
• PTHalos: A fast method for generating mock galaxy distributions
• Cosmology with the shear-peak statistics
• Searching for massive clusters in weak lensing surveys
• Probing Cosmology with Weak Lensing Peak Counts
• Noise properties of gravitational lens mass reconstruction
• Constraining dark energy from the abundance of weak gravitational lenses
• Statistics of Dark Matter Halos from Gravitational Lensing
• Approximate Bayesian Computation for Astronomical Model Analysis: A Case Study in Galaxy Demographics and Morphological Transformation at High Redshift
• Likelihood-Free Cosmological Inference with Type Ia Supernovae: Approximate Bayesian Computation for a Complete Treatment of Uncertainty
• Shear Selected Cluster Cosmology I: Tomography and Optimal Filtering
• Cosmological Information in Weak Lensing Peaks
• Noisy weak-lensing convergence peak statistics near clusters of galaxies and beyond
• An analytic approach to number counts of weak-lensing peak detections
• A new stochastic approach to cumulative weak lensing
• The Kurtosis of the Cosmic Shear Field
• Weak lensing mass map and peak statistics in Canada-France-Hawaii Telescope Stripe 82 survey
• Baryon impact on weak lensing peaks and power spectrum: low-bias statistics and self-calibration in future surveys
• Accurate Modeling of Weak Lensing with the sGL Method
• The Impact of Magnification and Size Bias on Weak Lensing Power Spectrum and Peak Statistics
• Cosmological constraints from the capture of non-Gaussianity in Weak Lensing data
• The cosmological analysis of X-ray cluster surveys: I- A new method for interpreting number counts
• The impact of correlated projections on weak lensing cluster counts
• Weak Lensing Observables in the Halo Model
• Constraining Cosmology with High Convergence Regions in Weak Lensing Surveys
• One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation
• Effect of Measurement Errors on Predicted Cosmological Constraints from Shear Peak Statistics with LSST
• Constraining the mass-concentration relation through weak lensing peak function
• A study of relative velocity statistics in Lagrangian perturbation theory with PINOCCHIO

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