Primordial non-Gaussianities with weak lensing: Information on non-linear scales in the Ulagam full-sky simulations

Abstract: Primordial non-Gaussianities (PNGs) are signatures in the density field that encode particle physics processes from the inflationary epoch. Such signatures have been extensively studied using the Cosmic Microwave Background, through constraining the amplitudes, $f^{X}_{\rm NL}$, with future improvements expected from large-scale structure surveys; specifically, the galaxy correlation functions. We show that weak lensing fields can be used to achieve competitive and complementary constraints. This is shown via the new Ulagam suite of N-body simulations, a subset of which evolves primordial fields with four types of PNGs. We create full-sky lensing maps and estimate the Fisher information from three summary statistics measured on the maps: the moments, the cumulative distribution function, and the 3-point correlation function. We find that the year 10 sample from the Rubin Observatory Legacy Survey of Space and Time (LSST) can constrain PNGs to $\sigma(f^{\rm\,eq}_{\rm NL}) \approx 110$, $\sigma(f^{\rm\,or,lss}_{\rm NL}) \approx 120$, $\sigma(f^{\rm\,loc}_{\rm NL}) \approx 40$. For the former two, this is better than or comparable to expected galaxy clustering-based constraints from the Dark Energy Spectroscopic Instrument (DESI). The PNG information in lensing fields is on non-linear scales and at low redshifts ($z \lesssim 1.25$), with a clear origin in the evolution history of massive halos. The constraining power degrades by $\sim!!60\%$ under scale cuts of $\gtrsim 20{\,\rm Mpc}$, showing there is still significant information on scales mostly insensitive to small-scale systematic effects (e.g. baryons). We publicly release the Ulagam suite to enable more survey-focused analyses.