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Validation of semi-analytical, semi-empirical covariance matrices for two-point correlation function for early DESI data

M. RashkovetskyiCenter for Astrophysics| Harvard & Smithsonian , 60 Garden St, Cambridge, MA 02138 , USADaniel J. EisensteinCenter for Astrophysics| Harvard & Smithsonian , 60 Garden St, Cambridge, MA 02138 , USAJ. AguilarLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USADavid BrooksDepartment of Physics & Astronomy, University College London , Gower Street, London WC1E 6BT , UKT. ClaybaughLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAShaun ColeInstitute for Computational Cosmology, Department of Physics, Durham University , South Road, Durham DH1 3LE , UKKyle DawsonDepartment of Physics and Astronomy, The University of Utah , 115 South 1400 East, Salt Lake City, UT 84112 , USAAxel de la MacorraInstituto de Física, Universidad Nacional Autónoma de México , Cd. de México C.P. 04510 , MéxicoP. DoelDepartment of Physics & Astronomy, University College London , Gower Street, London WC1E 6BT , UKKevin FanningCenter for Cosmology and AstroParticle Physics, The Ohio State University , 191 West Woodruff Avenue, Columbus, OH 43210 , USAAndreu Font-RiberaInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology , Campus UAB, E-08193 Bellaterra Barcelona , SpainJ. E. Forero-RomeroDepartamento de Física & Observatorio Astronómico, Universidad de los Andes , Cra. 1 No. 18A-10, Edificio Ip, CP 111711, Bogotá , ColombiaSatya Gontcho A GontchoLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAChang Hoon HahnDepartment of Astrophysical Sciences, Princeton University , Princeton NJ 08544 , USAK. HonscheidCenter for Cosmology and AstroParticle Physics, The Ohio State University , 191 West Woodruff Avenue, Columbus, OH 43210 , USAR. KehoeDepartment of Physics, Southern Methodist University , 3215 Daniel Avenue, Dallas, TX 75275 , USATheodore KisnerLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAMartin LandriauLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAM. E. LeviLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAMarc ManeraInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology , Campus UAB, E-08193 Bellaterra Barcelona , SpainR. MiquelInstitució Catalana de Recerca i Estudis Avançats , Passeig de Lluís Companys, 23, E-08010 Barcelona , SpainJeongin MoonDepartment of Physics and Astronomy, Sejong University , Seoul 143-747 , KoreaS. NadathurInstitute of Cosmology & Gravitation, University of Portsmouth , Dennis Sciama Building, Portsmouth PO1 3FX , UKJundan NieNational Astronomical Observatories, Chinese Academy of Sciences , A20 Datun Rd., Chaoyang District, Beijing, 100012 , PR ChinaClaire PoppettLawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720 , USAA.J. RossCenter for Cosmology and AstroParticle Physics, The Ohio State University , 191 West Woodruff Avenue, Columbus, OH 43210 , USAGraziano RossiDepartment of Physics and Astronomy, Sejong University , Seoul 143-747 , KoreaE. SánchezCIEMAT , Avenida Complutense 40, E-28040 Madrid , SpainChristoph SaulderKorea Astronomy and Space Science Institute , 776, Daedeokdae-ro, Yuseong-gu, Daejeon 34055 , Republic of KoreaM. SchubnellDepartment of Physics, University of Michigan , Ann Arbor, MI 48109 , USAHee‐Jong SeoDepartment of Physics & Astronomy, Ohio University , Athens, OH 45701 , USAG. TarléDepartment of Physics, University of Michigan , Ann Arbor, MI 48109 , USAD. ValcinDepartment of Physics & Astronomy, Ohio University , Athens, OH 45701 , USABenjamin A. WeaverNSF’s NOIRLab , 950 N. Cherry Ave., Tucson, AZ 85719 , USACheng ZhaoDepartment of Astronomy, Tsinghua University , 30 Shuangqing Road, Haidian District, Beijing, 100190 , ChinaZhimin ZhouNational Astronomical ObservatoriesH. ZouNational Astronomical Observatories, Chinese Academy of Sciences , A20 Datun Rd., Chaoyang District, Beijing, 100012 , PR China
2023en
ABI

Abstract

ABSTRACT 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.

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