3D Photometric Cosmic Shear

Here we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift probability distributions for individual galaxies can be directly...

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Main Authors: Kitching, T, Heavens, A, Miller, L
Format: Journal article
Published: 2010
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author Kitching, T
Heavens, A
Miller, L
author_facet Kitching, T
Heavens, A
Miller, L
author_sort Kitching, T
collection OXFORD
description Here we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift probability distributions for individual galaxies can be directly included in this statistic with no averaging. We also include the Limber approximation, considerably simplifying full 3D cosmic shear analysis, and we investigate its range of applicability. Finally we show the relationship between weak lensing tomography and the 3D cosmic shear field itself; the steps connecting them being the Limber approximation, a harmonic-space transform and a discretisation in wavenumber. Each method has its advantages: 3D cosmic shear analysis allows straightforward inclusion of all relevant modes, thus ensuring minimum error bars, and direct control of the range of physical wavenumbers probed, to avoid the uncertain highly nonlinear regime. On the other hand, tomography is more convenient for checking systematics through direct investigation of the redshift dependence of the signal. Finally, for tomography, we suggest that the angular modes probed should be redshift-dependent, to recover some of the 3D advantages.
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spelling oxford-uuid:f5c11429-7cae-4c9a-a215-0bcaf40674622022-03-27T12:29:38Z3D Photometric Cosmic ShearJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f5c11429-7cae-4c9a-a215-0bcaf4067462Symplectic Elements at Oxford2010Kitching, THeavens, AMiller, LHere we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift probability distributions for individual galaxies can be directly included in this statistic with no averaging. We also include the Limber approximation, considerably simplifying full 3D cosmic shear analysis, and we investigate its range of applicability. Finally we show the relationship between weak lensing tomography and the 3D cosmic shear field itself; the steps connecting them being the Limber approximation, a harmonic-space transform and a discretisation in wavenumber. Each method has its advantages: 3D cosmic shear analysis allows straightforward inclusion of all relevant modes, thus ensuring minimum error bars, and direct control of the range of physical wavenumbers probed, to avoid the uncertain highly nonlinear regime. On the other hand, tomography is more convenient for checking systematics through direct investigation of the redshift dependence of the signal. Finally, for tomography, we suggest that the angular modes probed should be redshift-dependent, to recover some of the 3D advantages.
spellingShingle Kitching, T
Heavens, A
Miller, L
3D Photometric Cosmic Shear
title 3D Photometric Cosmic Shear
title_full 3D Photometric Cosmic Shear
title_fullStr 3D Photometric Cosmic Shear
title_full_unstemmed 3D Photometric Cosmic Shear
title_short 3D Photometric Cosmic Shear
title_sort 3d photometric cosmic shear
work_keys_str_mv AT kitchingt 3dphotometriccosmicshear
AT heavensa 3dphotometriccosmicshear
AT millerl 3dphotometriccosmicshear