Probing Primordial Non-Gaussianity with Weak Lensing Minkowski Functionals

Abstract

We study the cosmological information contained in the Minkowski Functionals (MFs) of weak gravitational lensing convergence maps. We show that the MFs provide strong constraints on the local type primordial non-Gaussianity parameter f_NL. We run a set of cosmological N-body simulations and perform ray-tracing simulations of weak lensing, to generate 100 independent convergence maps of 25 deg^2 field-of-view for f_NL = -100, 0 and 100. We perform a Fisher analysis to study the degeneracy among other cosmological parameters such as the dark energy equation of state parameter w and the fluctuation amplitude sigma_8. We use fully nonlinear covariance matrices evaluated from 1000 ray-tracing simulations. For the upcoming wide-field observations such as Subaru Hyper Suprime-Cam survey with the proposed survey area of 1500 deg^2, the primordial non-Gaussianity can be constrained with a level of f_NL ~ 80 and w ~ 0.036 by weak lensing MFs. If simply scaled by the effective survey area, a 20000 deg^2 lensing survey using Large Synoptic Survey Telescope will give constraints of f_NL ~ 25 and w ~ 0.013. We show that these constraints can be further improved by a tomographic method using source galaxies in multiple redshift bins.

12 pages, 3 figures, To appear in ApJ

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• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• First Constraints on Small-Scale Non-Gaussianity from UV Galaxy Luminosity Functions
• Large-scale clustering as a probe of the origin and the host environment of fast radio bursts
• Weak lensing mass reconstruction using sparsity and a Gaussian random field
• Probing the statistical properties of CMB $B$-mode polarization through Minkowski Functionals
• Effect of Mask Regions on Weak Lensing Statistics
• Cosmological constraints using Minkowski functionals from the first year data of the Hyper Suprime-Cam
• The impact of spurious shear on cosmological parameter estimates from weak lensing observables
• Testing primordial non-Gaussianities on galactic scales at high redshift