Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Gravitational Lensing as a Method to Constrain Unstable Dark Matter   The nature of the dark matter remains a mystery. The possibility of an
unstable dark matter particle decaying to invisible daughter particles has been
explored many times in the past few decades. Meanwhile, weak gravitational
lensing shear has gained a lot of attention as a probe of dark energy. Weak
lensing is a useful tool for constraining the stability of the dark matter. In
the coming decade a number of large, galaxy imaging surveys will be undertaken
and will measure the statistics of cosmological weak lensing with unprecedented
precision. Weak lensing statistics are sensitive to unstable dark matter in at
least two ways. Dark matter decays alter the matter power spectrum and change
the angular diameter distance-redshift relation. We show how measurements of
weak lensing shear correlations may provide the most restrictive,
model-independent constraints on the lifetime of unstable dark matter. Our
results rely on assumptions regarding nonlinear evolution of density
fluctuations in scenarios of unstable dark matter and one of our aims is to
stimulate interest in theoretical work on nonlinear structure growth in
unstable dark matter models.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con