Kavli Affiliate: Toshiya Namikawa
| First 5 Authors: Gabriel Jung, Toshiya Namikawa, Michele Liguori, Dipak Munshi, Alan Heavens
| Summary:
We investigate three-point statistics in weak lensing convergence, through
the integrated bispectrum. This statistic involves measuring power spectra in
patches, and is thus easy to measure, and avoids the complexity of estimating
the very large number of possible bispectrum configurations. The integrated
bispectrum principally probes the squeezed limit of the bispectrum. To be
useful as a set of summary statistics, accurate theoretical predictions of the
signal are required, and, assuming Gaussian sampling distributions, the
covariance matrix. In this paper, we investigate through simulations how
accurate are theoretical formulae for both the integrated bispectrum and its
covariance, finding that there a small inaccuracies in the theoretical signal,
and more serious deviations in the covariance matrix, which may need to be
estimated using simulations.
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