Galaxy–galaxy lensing estimators and their covariance properties

Singh, Sukhdeep; Mandelbaum, Rachel; Seljak, Uros; Slosar, Anze; Gonzalez, Jose Vazquez

doi:10.1093/mnras/stx1828

Galaxy–galaxy lensing estimators and their covariance properties

Journal Article · Fri Jul 21 00:00:00 EDT 2017 · Monthly Notices of the Royal Astronomical Society

DOI:https://doi.org/10.1093/mnras/stx1828· OSTI ID:1408728

Singh, Sukhdeep ^[1]; ^[1]; Seljak, Uros ^[2]; Slosar, Anze ^[3]; Gonzalez, Jose Vazquez ^[3]

Carnegie Mellon Univ., Pittsburgh, PA (United States)
Univ. of California, Berkeley, CA (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Here, we study the covariance properties of real space correlation function estimators – primarily galaxy–shear correlations, or galaxy–galaxy lensing – using SDSS data for both shear catalogues and lenses (specifically the BOSS LOWZ sample). Using mock catalogues of lenses and sources, we disentangle the various contributions to the covariance matrix and compare them with a simple analytical model. We show that not subtracting the lensing measurement around random points from the measurement around the lens sample is equivalent to performing the measurement using the lens density field instead of the lens overdensity field. While the measurement using the lens density field is unbiased (in the absence of systematics), its error is significantly larger due to an additional term in the covariance. Therefore, this subtraction should be performed regardless of its beneficial effects on systematics. Comparing the error estimates from data and mocks for estimators that involve the overdensity, we find that the errors are dominated by the shape noise and lens clustering, which empirically estimated covariances (jackknife and standard deviation across mocks) that are consistent with theoretical estimates, and that both the connected parts of the four-point function and the supersample covariance can be neglected for the current levels of noise. While the trade-off between different terms in the covariance depends on the survey configuration (area, source number density), the diagnostics that we use in this work should be useful for future works to test their empirically determined covariances.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0012704

OSTI ID:: 1408728

Report Number(s):: BNL--114519-2017-JA

Journal Information:: Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 4 Vol. 471; ISSN 0035-8711

Publisher:: Royal Astronomical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Algorithm for the direct reconstruction of the dark matter correlation function from weak lensing and galaxy clustering Baldauf, T.; Smith, R. E.; Seljak, U. American Physical Society https://doi.org/10.5167/uzh-34372	text	January 2010
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Optical-to-virial velocity ratios of local disc galaxies from combined kinematics and galaxy-galaxy lensing Reyes, R.; Mandelbaum, R.; Gunn, J. E. Wiley-Blackwell https://doi.org/10.5167/uzh-70075	text	January 2012
New constraints on the evolution of the stellar-to-dark matter connection: A combined analysis of galaxy-galaxy lensing, clustering, and stellar mass functions from z=0.2 to z=1 Alexie, Leauthaud,; Jeremy, Tinker,; al, et IOP Publishing https://doi.org/10.5167/uzh-70387	text	January 2012
Cosmological parameter constraints from galaxy-galaxy lensing and galaxy clustering with the SDSS DR7 Mandelbaum, R.; Slosar, A.; Baldauf, T. Wiley-Blackwell https://doi.org/10.5167/uzh-80948	text	January 2013
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79 ASTRONOMY AND ASTROPHYSICS
cosmology: observations
galaxies: evolution
gravitational lensing: weak
large-scale structure of Universe

Galaxy–galaxy lensing estimators and their covariance properties

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