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We forecast and optimize the cosmological power of various weak-lensing aperture mass ($M_{rm ap}$) map statistics for future cosmic shear surveys, including peaks, voids, and the full distribution of pixels (1D $M_{rm ap}$). 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 $S_8 - Omega_{rm m} - w_0$ parameter space. We develop a new tomographic formalism which exploits the cross-information between redshift slices (cross-$M_{rm ap}$) in addition to the information from individual slices (auto-$M_{rm ap}$) probed in the standard approach. Our auto-$M_{rm ap}$ forecast precision is in good agreement with the recent literature on weak-lensing peak statistics, and is improved by $sim 50$% when including cross-$M_{rm ap}$. It is further boosted by the use of 1D $M_{rm ap}$ that outperforms all other estimators, including the shear two-point correlation function ($gamma$-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 $M_{rm ap}$ and the $gamma$-2PCF compared to the $gamma$-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 $gamma$-2PCF alone. This demonstrates that the complementary cosmological information explored by non-Gaussian $M_{rm ap}$ map statistics not only offers the potential to improve the constraints on the recent $sigma_8$ - $Omega_{rm m}$ tension, but also constitutes an avenue to understand the accelerated expansion of our Universe.
We explore the effect of massive neutrinos on the weak lensing shear bispectrum using the Cosmological Massive Neutrino Simulations. We find that the primary effect of massive neutrinos is to suppress the amplitude of the bispectrum with limited effe
NonGaussian cosmic shear statistics based on weak-lensing aperture mass ($M_{rm ap}$) maps can outperform the classical shear two-point correlation function ($gamma$-2PCF) in terms of cosmological constraining power. However, reaching the full potent
As weak lensing surveys become deeper, they reveal more non-Gaussian aspects of the convergence field which can only be extracted using statistics beyond the power spectrum. In Cheng et al. (2020) we showed that the scattering transform, a novel stat
We perform multi-plane ray-tracing using the GLAMER gravitational lensing code within high-resolution light-cones extracted from the CoDECS simulations: a suite of cosmological runs featuring a coupling between Dark Energy and Cold Dark Matter. We sh
Current theories of structure formation predict specific density profiles of galaxy dark matter haloes, and with weak gravitational lensing we can probe these profiles on several scales. On small scales, higher-order shape distortions known as flexio