Constraining neutrino mass with tomographic weak lensing one-point
  probability distribution function and power spectrum
  We study the constraints on neutrino mass sum (M_nu) from the one-point
probability distribution function (PDF) and power spectrum of weak lensing
measurements for an LSST-like survey, using the 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 M_nu 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 M_nu. When the two statistics are combined, the
constraint is further tightened by 35%. We conclude that weak lensing PDF is
complementary to the power spectrum and has the potential to become a powerful
tool for constraining neutrino mass.
