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Title: Cross-correlating 2D and 3D galaxy surveys

Abstract

Galaxy surveys probe both structure formation and the expansion rate, making them promising avenues for understanding the dark universe. Photometric surveys accurately map the 2D distribution of galaxy positions and shapes in a given redshift range, while spectroscopic surveys provide sparser 3D maps of the galaxy distribution. We present a way to analyse overlapping 2D and 3D maps jointly and without loss of information. We represent 3D maps using spherical Fourier-Bessel (sFB) modes, which preserve radial coverage while accounting for the spherical sky geometry, and we decompose 2D maps in a spherical harmonic basis. In these bases, a simple expression exists for the cross-correlation of the two fields. One very powerful application is the ability to simultaneously constrain the redshift distribution of the photometric sample, the sample biases, and cosmological parameters. We use our framework to show that combined analysis of DESI and LSST can improve cosmological constraints by factors of $${\sim}1.2$$ to $${\sim}1.8$$ on the region where they overlap relative to identically sized disjoint regions. We also show that in the overlap of DES and SDSS-III in Stripe 82, cross-correlating improves photo-$z$ parameter constraints by factors of $${\sim}2$$ to $${\sim}12$$ over internal photo-$z$ reconstructions.

Authors:
 [1];  [1]; ORCiD logo [2]
  1. Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1346357
Alternate Identifier(s):
OSTI ID: 1372568
Report Number(s):
FERMILAB-PUB-17-060-A; arXiv:1702.03004
Journal ID: ISSN 2470-0010; PRVDAQ; 1512901
Grant/Contract Number:
AC02-07CH11359; FG02-95ER40896
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Passaglia, Samuel, Manzotti, Alessandro, and Dodelson, Scott. Cross-correlating 2D and 3D galaxy surveys. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.123508.
Passaglia, Samuel, Manzotti, Alessandro, & Dodelson, Scott. Cross-correlating 2D and 3D galaxy surveys. United States. doi:10.1103/PhysRevD.95.123508.
Passaglia, Samuel, Manzotti, Alessandro, and Dodelson, Scott. Thu . "Cross-correlating 2D and 3D galaxy surveys". United States. doi:10.1103/PhysRevD.95.123508. https://www.osti.gov/servlets/purl/1346357.
@article{osti_1346357,
title = {Cross-correlating 2D and 3D galaxy surveys},
author = {Passaglia, Samuel and Manzotti, Alessandro and Dodelson, Scott},
abstractNote = {Galaxy surveys probe both structure formation and the expansion rate, making them promising avenues for understanding the dark universe. Photometric surveys accurately map the 2D distribution of galaxy positions and shapes in a given redshift range, while spectroscopic surveys provide sparser 3D maps of the galaxy distribution. We present a way to analyse overlapping 2D and 3D maps jointly and without loss of information. We represent 3D maps using spherical Fourier-Bessel (sFB) modes, which preserve radial coverage while accounting for the spherical sky geometry, and we decompose 2D maps in a spherical harmonic basis. In these bases, a simple expression exists for the cross-correlation of the two fields. One very powerful application is the ability to simultaneously constrain the redshift distribution of the photometric sample, the sample biases, and cosmological parameters. We use our framework to show that combined analysis of DESI and LSST can improve cosmological constraints by factors of ${\sim}1.2$ to ${\sim}1.8$ on the region where they overlap relative to identically sized disjoint regions. We also show that in the overlap of DES and SDSS-III in Stripe 82, cross-correlating improves photo-$z$ parameter constraints by factors of ${\sim}2$ to ${\sim}12$ over internal photo-$z$ reconstructions.},
doi = {10.1103/PhysRevD.95.123508},
journal = {Physical Review D},
number = 12,
volume = 95,
place = {United States},
year = {Thu Jun 08 00:00:00 EDT 2017},
month = {Thu Jun 08 00:00:00 EDT 2017}
}

Journal Article:
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Cited by: 1 work
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