Unleashing cosmic shear information with the tomographic weak lensing PDF
arxiv(2024)
摘要
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_ 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_ m,S_8,w_0}, respectively.
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