Estimating the Integrated Bispectrum from Weak Lensing Maps
  We use a recently introduced statistic called {\em Integrated Bispectrum}
(IB) to probe the gravity-induced non-Gaussianity at the level of the
bispectrum from weak lensing convergence or $\kappa$ maps. We generalize the
concept of the IB to spherical coordinates. This result is next connected to
the response function approach. Finally, we use the Euclid Flagship simulations
to compute the IB as a function of redshift and wave number. We also outline
how the IB can be computed using a variety of analytical approaches including
the ones based on Effective Field Theory (EFT), {\em Halo models} and models
based on the {\em Separate Universe approach} in projection or two-dimension
(2D). Comparing these results against simulations we find that the existing
theoretical models tend to over-predict the numerical value of the IB. We
emphasize the role of the finite volume effect in the numerical estimation of
the IB. We introduced the concept of squeezed and collapsed tripsectrum for 2D
$\kappa$ maps. We derive the IB for many parameterized theories of modified
gravity including the Horndeskii and beyond-Horndeskii theories specifically
for the non-degenerate scenarios that are also known as the
Gleyzes-Langlois-Piazza-Venizzi or GPLV theories. In addition, the cosmological
models with clustering quintessence and models involving massive neutrinos are
also derived.
