Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical connection of peak counts to power spectrum and moments in
  weak lensing field   The number density of local maxima of weak lensing field, referred to as
weak-lensing peak counts, can be used as a cosmological probe. However, its
relevant cosmological information is still unclear. We study the relationship
between the peak counts and other statistics in weak lensing field by using
1000 ray-tracing simulations. We construct a local transformation of lensing
field $\cal K$ to a new Gaussian field $y$, named local-Gaussianized
transformation. We calibrate the transformation with numerical simulations so
that the one-point distribution and the power spectrum of $\cal K$ can be
reproduced from a single Gaussian field $y$ and monotonic relation between $y$
and $\cal K$. Therefore, the correct information of two-point clustering and
any order of moments in weak lensing field should be preserved under
local-Gaussianized transformation. We then examine if local-Gaussianized
transformation can predict weak-lensing peak counts in simulations. The
local-Gaussianized transformation is insufficient to explain weak-lensing peak
counts in the absence of shape noise. The prediction by local-Gaussianized
transformation underestimates the simulated peak counts with a level of
$\sim20-30\%$ over a wide range of peak heights. Local-Gaussianized
transformation can predict the weak-lensing peak counts with a $\sim10\%$
accuracy in the presence of shape noise. Our analyses suggest that the
cosmological information beyond power spectrum and its moments would be
necessary to predict the weak-lensing peak counts with a percent-level
accuracy, which is an expected statistical uncertainty in upcoming wide-field
galaxy surveys.

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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci