The cosmology dependence of weak lensing cluster counts
Laura Marian, Robert E. Smith, Gary M. Bernstein

TL;DR
This study shows that weak lensing cluster counts, derived from two-dimensional data, scale with cosmology similarly to three-dimensional mass functions, enabling their use in cosmological constraints.
Contribution
It demonstrates that weak lensing cluster counts can reliably constrain cosmology due to their close scaling with three-dimensional mass functions.
Findings
Projected-peak and 3D mass functions scale similarly with cosmology
Weak lensing cluster abundance can be used for cosmological constraints
Two-dimensional weak lensing data effectively probes cosmological parameters
Abstract
We present the main results of a numerical study of weak lensing cluster counting. We examine the scaling with cosmology of the projected-density-peak mass function. Our main conclusion is that the projected-peak and the three-dimensional mass functions scale with cosmology in an astonishingly close way. This means that, despite being derived from a two-dimensional field, the weak lensing cluster abundance can be used to constrain cosmology in the same way as the three-dimensional mass function probed by other types of surveys.
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