TY - JOUR
T1 - Validation of semi-analytical, semi-empirical covariance matrices for two-point correlation function for Early DESI data
AU - Rashkovetskyi, Michael
AU - Eisenstein, Daniel J.
AU - Aguilar, Jessica Nicole
AU - Brooks, David
AU - Claybaugh, Todd
AU - Cole, Shaun
AU - Dawson, Kyle
AU - Macorra, Axel de la
AU - Doel, Peter
AU - Fanning, Kevin
AU - Font-Ribera, Andreu
AU - Forero-Romero, Jaime E.
AU - Gontcho, Satya Gontcho A
AU - Hahn, ChangHoon
AU - Honscheid, Klaus
AU - Kehoe, Robert
AU - Kisner, Theodore
AU - Landriau, Martin
AU - Levi, Michael
AU - Manera, Marc
AU - Miquel, Ramon
AU - Moon, Jeongin
AU - Nadathur, Seshadri
AU - Nie, Jundan
AU - Poppett, Claire
AU - Ross, Ashley J.
AU - Rossi, Graziano
AU - Sanchez, Eusebio
AU - Saulder, Christoph
AU - Schubnell, Michael
AU - Seo, Hee-Jong
AU - Tarle, Gregory
AU - Valcin, David
AU - Weaver, Benjamin Alan
AU - Zhao, Cheng
AU - Zhou, Zhimin
AU - Zou, Hu
N1 - 19 pages, 1 figure. Published in MNRAS. Code available at https://github.com/oliverphilcox/RascalC, table and figure data available at https://dx.doi.org/10.5281/zenodo.7750637; Monthly Notices of the Royal Astronomical Society, Volume 524, Issue 3, September 2023, Pages 3894-3911; doi:10.1093/mnras/stad2078
PY - 2023/9/1
Y1 - 2023/9/1
N2 - We present an extended validation of semi-analytical, semi-empirical covariance matrices for the two-point correlation function (2PCF) on simulated catalogs representative of luminous red galaxies (LRGs) data collected during the initial 2 months of operations of the Stage-IV ground-based Dark Energy Spectroscopic Instrument (DESI). We run the pipeline on multiple effective Zel’dovich (EZ) mock galaxy catalogs with the corresponding cuts applied and compare the results with the mock sample covariance to assess the accuracy and its fluctuations. We propose an extension of the previously developed formalism for catalogs processed with standard reconstruction algorithms. We consider methods for comparing covariance matrices in detail, highlighting their interpretation and statistical properties caused by sample variance, in particular, non-trivial expectation values of certain metrics even when the external covariance estimate is perfect. With improved mocks and validation techniques, we confirm a good agreement between our predictions and sample covariance. This allows one to generate covariance matrices for comparable data sets without the need to create numerous mock galaxy catalogs with matching clustering, only requiring 2PCF measurements from the data itself. The code used in this paper is publicly available at https://github.com/oliverphilcox/RascalC.
AB - We present an extended validation of semi-analytical, semi-empirical covariance matrices for the two-point correlation function (2PCF) on simulated catalogs representative of luminous red galaxies (LRGs) data collected during the initial 2 months of operations of the Stage-IV ground-based Dark Energy Spectroscopic Instrument (DESI). We run the pipeline on multiple effective Zel’dovich (EZ) mock galaxy catalogs with the corresponding cuts applied and compare the results with the mock sample covariance to assess the accuracy and its fluctuations. We propose an extension of the previously developed formalism for catalogs processed with standard reconstruction algorithms. We consider methods for comparing covariance matrices in detail, highlighting their interpretation and statistical properties caused by sample variance, in particular, non-trivial expectation values of certain metrics even when the external covariance estimate is perfect. With improved mocks and validation techniques, we confirm a good agreement between our predictions and sample covariance. This allows one to generate covariance matrices for comparable data sets without the need to create numerous mock galaxy catalogs with matching clustering, only requiring 2PCF measurements from the data itself. The code used in this paper is publicly available at https://github.com/oliverphilcox/RascalC.
KW - astro-ph.CO
KW - math.ST
KW - physics.data-an
KW - stat.TH
KW - methods: statistical
KW - surveys
KW - software: data analysis
KW - galaxies: statistics
KW - Large-scale structure of universe
KW - cosmology: theory
U2 - 10.1093/mnras/stad2078
DO - 10.1093/mnras/stad2078
M3 - Article
SN - 0035-8711
VL - 524
SP - 3894
EP - 3911
JO - Monthly Notices of the Royal Astronomical Society
JF - Monthly Notices of the Royal Astronomical Society
IS - 3
ER -