2dFLenS and KiDS: determining source redshift distributions with cross-correlations

Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Date Issued
2017
Author(s)
Johnson, Andrew
•
Blake, Chris
•
Amon, Alexandra
•
Erben, Thomas
•
Glazebrook, Karl
•
Harnois-Deraps, Joachim
•
Heymans, Catherine
•
Hildebrandt, Hendrik
•
Joudaki, Shahab
•
Klaes, Dominik
•
Kuijken, Konrad
•
Lidman, Chris
•
Marin, Felipe A.
•
McFarland, John
•
Morrison, Christopher B.
•
Parkinson, David
•
Poole, Gregory B.
•
•
Wolf, Christian
DOI
10.1093/mnras/stw3033
Abstract
We develop a statistical estimator to infer the redshift probability distribution of a photometric sample of galaxies from its angular cross-correlation in redshift bins with an overlapping spectroscopic sample. This estimator is a minimum-variance weighted quadratic function of the data: a quadratic estimator. This extends and modifies the methodology presented by McQuinn & White. The derived source redshift distribution is degenerate with the source galaxy bias, which must be constrained via additional assumptions. We apply this estimator to constrain source galaxy redshift distributions in the Kilo-Degree imaging survey through cross-correlation with the spectroscopic 2-degree Field Lensing Survey, presenting results first as a binned step-wise distribution in the range z < 0.8, and then building a continuous distribution using a Gaussian process model. We demonstrate the robustness of our methodology using mock catalogues constructed from N-body simulations, and comparisons with other techniques for inferring the redshift distribution.
Volume
465
Issue
4
Start page
4118
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