Implication of Omega_m through the Morphological Analysis of Weak Lensing Fields

Abstract

We apply the morphological descriptions of two-dimensional contour map, the so-called Minkowski functionals (the area fraction, circumference, and Euler characteristics), to the convergence field $\kappa (\mathbf{\theta })$ of the large-scale structure reconstructed from the shear map produced by the ray-tracing simulations. The perturbation theory of structure formation has suggested that the non-Gaussian features on the Minkowski functionals with respect to the threshold in the weakly nonlinear regime are induced by the three skewness parameters of $\kappa$ that are sensitive to the density parameter of matter, ${\Omega }_{\mathrm{m}}$. We show that, in the absence of noise due to the intrinsic ellipticities of source galaxies with which the perturbation theory results can be recovered, the accuracy of ${\Omega }_{\mathrm{m}}$ determination is improved by $\sim 20$ using the Minkowski functionals compared to the conventional method of using the direct measure of skewness.

4 pages, 3 figures, to appear in ApJ Letter

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