Constraining Neutrino Mass with the Tomographic Weak Lensing Bispectrum
  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 effect on the bispectrum shape. The suppression of the
bispectrum amplitude is a factor of two greater than the suppression of the
small scale power-spectrum. For an LSST-like weak lensing survey that observes
half of the sky with five tomographic redshift bins, we explore the
constraining power of the bispectrum on three cosmological parameters: the sum
of the neutrino mass $\sum m_\nu$, the matter density $\Omega_m$ and the
amplitude of primordial fluctuations $A_s$. Bispectrum measurements alone
provide similar constraints to the power spectrum measurements and combining
the two probes leads to significant improvements than using the latter alone.
We find that the joint constraints tighten the power spectrum $95\%$
constraints by $\sim 32\%$ for $\sum m_\nu$, $13\%$ for $\Omega_m$ and $57\%$
for $A_s$ .
