Unleashing cosmic shear information with the tomographic weak lensing PDF

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Main Authors: Castiblanco, Lina, Uhlemann, Cora, Harnois-Déraps, Joachim, Barthelemy, Alexandre
Format: Preprint
Published: 2024
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author Castiblanco, Lina
Uhlemann, Cora
Harnois-Déraps, Joachim
Barthelemy, Alexandre
author_facet Castiblanco, Lina
Uhlemann, Cora
Harnois-Déraps, Joachim
Barthelemy, Alexandre
contents In this work, we demonstrate the constraining power of the tomographic weak lensing convergence PDF for StageIV-like source galaxy redshift bins and shape noise. We focus on scales of $10$ to $20$ arcmin in the mildly nonlinear regime, where the convergence PDF and its changes with cosmological parameters can be predicted theoretically. We model the impact of reconstructing the convergence from the shear field using the well-known Kaiser-Squires formalism. We cross-validate the predicted and the measured convergence PDF derived from convergence maps reconstructed using simulated shear catalogues. Employing a Fisher forecast, we determine the constraining power for $(Ω_{m},S_{8},w_{0})$. We find that adding a 5-bin tomography improves the $κ-$PDF constraints by a factor of $\{3.8,1.3,1.6\}$ for $(Ω_{m}, S_{8},w_{0})$ respectively. Additionally, we perform a joint analysis with the shear two-point correlation functions, finding an enhancement of around a factor of $1.5$ on all parameters with respect to the two-point statistics alone. These improved constraints come from disentangling $Ω_{\rm m}$ from $w_0$ by extracting non-Gaussian information, in particular, including the PDF skewness at different redshift bins. We also study the effect of varying the number of parameters to forecast, in particular we add $h$, finding that the convergence PDF maintains its constraining power while the precision from two-point correlations degrades by a factor of $\{1.7,1.4,1.8\}$ for $\{Ω_{\rm m},S_8,w_0\}$, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2405_09651
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unleashing cosmic shear information with the tomographic weak lensing PDF
Castiblanco, Lina
Uhlemann, Cora
Harnois-Déraps, Joachim
Barthelemy, Alexandre
Cosmology and Nongalactic Astrophysics
In this work, we demonstrate the constraining power of the tomographic weak lensing convergence PDF for StageIV-like source galaxy redshift bins and shape noise. We focus on scales of $10$ to $20$ arcmin in the mildly nonlinear regime, where the convergence PDF and its changes with cosmological parameters can be predicted theoretically. We model the impact of reconstructing the convergence from the shear field using the well-known Kaiser-Squires formalism. We cross-validate the predicted and the measured convergence PDF derived from convergence maps reconstructed using simulated shear catalogues. Employing a Fisher forecast, we determine the constraining power for $(Ω_{m},S_{8},w_{0})$. We find that adding a 5-bin tomography improves the $κ-$PDF constraints by a factor of $\{3.8,1.3,1.6\}$ for $(Ω_{m}, S_{8},w_{0})$ respectively. Additionally, we perform a joint analysis with the shear two-point correlation functions, finding an enhancement of around a factor of $1.5$ on all parameters with respect to the two-point statistics alone. These improved constraints come from disentangling $Ω_{\rm m}$ from $w_0$ by extracting non-Gaussian information, in particular, including the PDF skewness at different redshift bins. We also study the effect of varying the number of parameters to forecast, in particular we add $h$, finding that the convergence PDF maintains its constraining power while the precision from two-point correlations degrades by a factor of $\{1.7,1.4,1.8\}$ for $\{Ω_{\rm m},S_8,w_0\}$, respectively.
title Unleashing cosmic shear information with the tomographic weak lensing PDF
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2405.09651