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A&A 442, 851-860 (2005)
DOI: 10.1051/0004-6361:20042600
An optimal filter for the detection of galaxy clusters through weak lensing
M. Maturi1, 2, 3, 4, M. Meneghetti1, M. Bartelmann1, K. Dolag2, 3 and L. Moscardini41 Zentrum für Astronomie, ITA, Universität Heidelberg, Albert-Überle-Str. 2, 69120 Heidelberg, Germany
2 Dipartimento di Astronomia, Università di Padova, Vicolo dell'Osservatorio 2, 35120 Padova, Italy
3 Max-Planck-Institut für Astrophysik, PO Box 1523, 85740 Garching, Germany
4 Dipartimento di Astronomia, Università di Bologna, Via Ranzani 1, 40127 Bologna, Italy
(Received 23 December 2004 / Accepted 27 July 2005 )
Abstract
We construct a linear filter optimised for detecting dark-matter
halos in weak-lensing data. The filter assumes a mean radial
profile of the halo shear pattern and modifies that shape by the
noise power spectrum. Aiming at separating dark-matter halos from
spurious peaks caused by large-scale structure lensing, we model
the noise as being composed of weak lensing by large-scale
structures and Poisson noise from random galaxy positions and
intrinsic ellipticities. Optimal filtering against the noise
requires the optimal filter scale to be smaller than typical halo
sizes. Although a perfect separation of halos from spurious
large-scale structure peaks is strictly impossible, we use
numerical simulations to demonstrate that our filter produces
substantially more sensitive, reliable and stable results than the
conventionally used aperture-mass statistic.
Key words: cosmology: theory -- galaxies: clusters: general -- gravitational lensing
© ESO 2005
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