Constraining neutrino mass with the tomographic weak lensing one-point probability distribution function and power spectrum

We forecast the constraints on the neutrino mass sum (Σmν) from the one-point probability distribution function (PDF) and power spectrum of weak lensing measurements for an Large Synoptic Survey Telescope-like survey, using MASSIVENuS simulations. The PDF provides access to non-Gaussian information beyond the power spectrum. It is particularly sensitive to nonlinear growth on small scales, where massive neutrinos also have the largest effect. We find that tomography helps improve the constraint on Σmν by 14% and 32% for the power spectrum and the PDF, respectively, compared to a single redshift bin. The PDF alone outperforms the power spectrum in constraining Σmν. When the two statistics are combined, the constraint is further tightened by 35%, with respect to the power spectrum alone. We conclude that the weak lensing PDF is complementary to the power spectrum and has the potential to become a powerful tool for constraining neutrino mass. In this work, we do not include systematics such as baryon effects, intrinsic alignments, photo−z errors, and stress that they need to be carefully studied in future work.