Journal Article

Constraints on the inner density profile of dark matter haloes from weak gravitational lensing

M. Viola, M. Maturi and M. Bartelmann

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 403, issue 2, pages 859-869
Published in print April 2010 | ISSN: 0035-8711
Published online March 2010 | e-ISSN: 1365-2966 | DOI:
Constraints on the inner density profile of dark matter haloes from weak gravitational lensing

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We construct two linear filtering techniques based on weak gravitational lensing to constrain the inner slope α of the density profile of dark matter haloes. Both methods combine all available information into an estimate of this single number. Under idealized assumptions, α is constrained to ∼15 per cent if the halo concentration c is known, and to ≲30 per cent if not. We argue that the inevitable degeneracy between density-profile slope and halo concentration cannot be lifted under realistic conditions, and show by means of Fisher-matrix methods which linear combination of α and c is best constrained by our filtering of lensing data. This defines a new parameter, called P1, which is then constrained to ∼15 per cent for a single massive halo. If the signals of many haloes can be stacked, their density profiles should thus be well constrained by the linear filters proposed here with the advantage, in contrast with strong lensing analysis, to be insensitive to the cluster substructures.

Keywords: gravitational lensing; methods: analytical; cosmology: theory; cosmology: dark matter

Journal Article.  6170 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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