Probing dark energy with tomographic weak-lensing aperture mass statistics

Nicolas Martinet; Joachim Harnois-Déraps; Eric Jullo; Peter Schneider

doi:10.1051/0004-6361/202039679

paper

Probing dark energy with tomographic weak-lensing aperture mass statistics

arXiv:2010.07376 · doi:10.1051/0004-6361/202039679

Abstract

We forecast and optimize the cosmological power of various weak-lensing aperture mass ( $M_{ap}$ ) map statistics for future cosmic shear surveys, including peaks, voids, and the full distribution of pixels (1D $M_{ap}$ ). These alternative methods probe the non-Gaussian regime of the matter distribution, adding complementary cosmological information to the classical two-point estimators. Based on the SLICS and cosmo-SLICS $N$ -body simulations, we build Euclid-like mocks to explore the $S_{8} - Ω_{m} - w_{0}$ parameter space. We develop a new tomographic formalism which exploits the cross-information between redshift slices (cross- $M_{ap}$ ) in addition to the information from individual slices (auto- $M_{ap}$ ) probed in the standard approach. Our auto- $M_{ap}$ forecast precision is in good agreement with the recent literature on weak-lensing peak statistics, and is improved by $\sim 50$ % when including cross- $M_{ap}$ . It is further boosted by the use of 1D $M_{ap}$ that outperforms all other estimators, including the shear two-point correlation function ( $γ$ -2PCF). When considering all tomographic terms, our uncertainty range on the structure growth parameter $S_{8}$ is enhanced by $\sim 45$ % (almost twice better) when combining 1D $M_{ap}$ and the $γ$ -2PCF compared to the $γ$ -2PCF alone. We additionally measure the first combined forecasts on the dark energy equation of state $w_{0}$ , finding a factor of three reduction of the statistical error compared to the $γ$ -2PCF alone. This demonstrates that the complementary cosmological information explored by non-Gaussian $M_{ap}$ map statistics not only offers the potential to improve the constraints on the recent $σ_{8}$ - $Ω_{m}$ tension, but also constitutes an avenue to understand the accelerated expansion of our Universe.

arXiv commentMatching version accepted by A&A, 18 pages, 12 figures

Probing dark energy with tomographic weak-lensing aperture mass statistics

Abstract

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