Issue |
A&A
Volume 442, Number 1, October IV 2005
|
|
---|---|---|
Page(s) | 69 - 83 | |
Section | Cosmology (including clusters of galaxies) | |
DOI | https://doi.org/10.1051/0004-6361:20053531 | |
Published online | 30 September 2005 |
Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear
Institut f. Astrophysik u. Extraterrestrische Forschung, Universität Bonn, Auf dem Hügel 71, 53121 Bonn, Germany e-mail: kilbinge@astro.uni-bonn.de
Received:
29
May
2005
Accepted:
4
July
2005
We present predictions for cosmological parameter constraints from
combined measurements of second- and third-order statistics of
cosmic shear. We define the generalized third-order aperture mass
statistics and show that it contains
much more information about the bispectrum of the projected matter
density than the skewness of the aperture mass. From theoretical
models as well as from ΛCDM ray-tracing simulations, we
calculate
and
and their dependence on cosmological parameters. The
covariances including shot noise and cosmic variance of
,
and their cross-correlation are calculated
using ray-tracing simulations. We perform an extensive Fisher matrix
analysis, and for various combinations of cosmological parameters,
we predict 1-σ-errors corresponding to measurements from a
deep 29 square degree cosmic shear survey. Although the parameter
degeneracies can not be lifted completely, the (linear) combination
of second- and third-order aperture mass statistics reduces the
errors significantly. The strong degeneracy between
and
, present for all second-order cosmic shear measures, is
diminished substantially, whereas less improvement is found for the
near-degenerate pair consisting of the shape parameter Γ and
the spectral index ns. Uncertainties in the source galaxy
redshift z0 increase the errors of all other parameters.
Key words: cosmology: large-scale structure of Universe / gravitational lensing / cosmology: cosmological parameters
© ESO, 2005
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