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Dark Energy Survey year 3 results: covariance modelling and its impact on parameter estimation and quality of fit

Authors: Elisabeth Krause; Carlos Solans Sanchez; Felipe Menanteau; Felipe Menanteau; O. Alves; O. Alves; W. G. Hartley; +127 Authors

Dark Energy Survey year 3 results: covariance modelling and its impact on parameter estimation and quality of fit

Abstract

ABSTRACT We describe and test the fiducial covariance matrix model for the combined two-point function analysis of the Dark Energy Survey Year 3 (DES-Y3) data set. Using a variety of new ansatzes for covariance modelling and testing, we validate the assumptions and approximations of this model. These include the assumption of Gaussian likelihood, the trispectrum contribution to the covariance, the impact of evaluating the model at a wrong set of parameters, the impact of masking and survey geometry, deviations from Poissonian shot noise, galaxy weighting schemes, and other sub-dominant effects. We find that our covariance model is robust and that its approximations have little impact on goodness of fit and parameter estimation. The largest impact on best-fitting figure-of-merit arises from the so-called fsky approximation for dealing with finite survey area, which on average increases the χ2 between maximum posterior model and measurement by $3.7{{\ \rm per\ cent}}$ (Δχ2 ≈ 18.9). Standard methods to go beyond this approximation fail for DES-Y3, but we derive an approximate scheme to deal with these features. For parameter estimation, our ignorance of the exact parameters at which to evaluate our covariance model causes the dominant effect. We find that it increases the scatter of maximum posterior values for Ωm and σ8 by about $3{{\ \rm per\ cent}}$ and for the dark energy equation-of-state parameter by about $5{{\ \rm per\ cent}}$.

Countries
Italy, Italy, France, Norway, Spain, Brazil, Brazil, Italy, United Kingdom
Keywords

cosmology: observation, Cosmology and Nongalactic Astrophysics (astro-ph.CO), 330, Large-scale structure of Universe, astronomi: 438, Cosmology: observations, FOS: Physical sciences, cosmology: observations; large-scale structure of Universe, 310, cosmology: observations, Large-scale structure of the universe, large-scale structure of Universe; cosmology: observations, VDP::Astrofysikk, large-scale structure of Universe, [PHYS.ASTR] Physics [physics]/Astrophysics [astro-ph], observations [Cosmology], Astrophysics - Cosmology and Nongalactic Astrophysics

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citations
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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