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Density split statistics: Joint model of counts and lensing in cells
Authors
FB Abdalla
S Allam
+73 more
J Annis
K Bechtol
A Benoit-Levy
GM Bernstein
E Bertin
J Blazek
D Brooks
A Carnero Rosell
J Carretero
C Chang
DES Collaboration
CE Cunha
CB D Andrea
LN da Costa
C Davis
J DeRose
S Desai
HT Diehl
JP Dietrich
A Drlica-Wagner
TF Eifler
P Fosalba
O Friedrich
J Frieman
J Garcia-Bellido
E Gaztanaga
DW Gerdes
T Giannantonio
D Gruen
RA Gruendl
J Gschwend
G Gutierrez
S Hilbert
K Honscheid
B Jain
DJ James
M Jarvis
M Carrasco Kind
D Kirk
A Kovacs
E Krause
K Kuehn
N Kuropatkin
O Lahav
M Lima
M March
JL Marshall
T McClintock
Peter M Melchior
F Menanteau
R Miquel
JJ Mohr
B Nord
AA Plazas
ES Rykoff
E Sanchez
V Scarpine
R Schindler
M Schubnell
S Seitz
I Sevilla-Noarbe
E Sheldon
M Smith
M Soares-Santos
F Sobreira
E Suchyta
MEC Swanson
G Tarle
D Thomas
MA Troxel
V Vikram
RH Wechsler
J Weller
Publication date
1 January 2018
Publisher
Physical Review D
Doi
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on
arXiv
Abstract
© 2018 American Physical Society. We present density split statistics, a framework that studies lensing and counts-in-cells as a function of foreground galaxy density, thereby providing a large-scale measurement of both 2-point and 3-point statistics. Our method extends our earlier work on trough lensing and is summarized as follows: given a foreground (low redshift) population of galaxies, we divide the sky into subareas of equal size but distinct galaxy density. We then measure lensing around uniformly spaced points separately in each of these subareas, as well as counts-in-cells statistics (CiC). The lensing signals trace the matter density contrast around regions of fixed galaxy density. Through the CiC measurements this can be related to the density profile around regions of fixed matter density. Together, these measurements constitute a powerful probe of cosmology, the skewness of the density field and the connection of galaxies and matter. In this paper we show how to model both the density split lensing signal and CiC from basic ingredients: a non-linear power spectrum, clustering hierarchy coefficients from perturbation theory and a parametric model for galaxy bias and shot-noise. Using N-body simulations, we demonstrate that this model is sufficiently accurate for a cosmological analysis on year 1 data from the Dark Energy Survey
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