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This means that in addition to the increased precision in observations, future surveys will also access the ultralarge-scale regime, where commonly neglected effects such as lensing, redshift-space distortions, and relativistic corrections become important for calculating correlation functions of galaxy positions. At the same time, several approximations usually made in these calculations such as the Limber approximation break down at those scales. The need to abandon these approximations and simplifying assumptions at large scales creates severe issues for parameter estimation methods. On the one hand, exact calculations of theoretical angular power spectra become computationally expensive, and the need to perform them thousands of times to reconstruct posterior probability distributions for cosmological parameters makes the approach unfeasible. On the other hand, neglecting relativistic effects and relying on approximations may significantly bias the estimates of cosmological parameters. In this work, we quantify this bias and investigate how an incomplete modelling of various effects on ultralarge scales could lead to false detections of new physics beyond the standard \u039bCDM model. Furthermore, we propose a simple debiasing method that allows us to recover true cosmologies without running the full parameter estimation pipeline with exact theoretical calculations. This method can therefore provide a fast way of obtaining accurate values of cosmological parameters and estimates of exact posterior probability distributions from ultralarge-scale observations.<\/jats:p>","DOI":"10.1093\/mnras\/stab3578","type":"journal-article","created":{"date-parts":[[2021,12,10]],"date-time":"2021-12-10T12:20:38Z","timestamp":1639138838000},"page":"1964-1977","source":"Crossref","is-referenced-by-count":16,"title":["Ultralarge-scale approximations and galaxy clustering: Debiasing constraints on cosmological parameters"],"prefix":"10.1093","volume":"510","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6943-7732","authenticated-orcid":false,"given":"Matteo","family":"Martinelli","sequence":"first","affiliation":[{"name":"Instituto de F\u00edsica Te\u00f3rica, Universidad Aut\u00f3noma de Madrid , Campus de Cantoblanco, E-28049 Madrid, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7998-9899","authenticated-orcid":false,"given":"Roohi","family":"Dalal","sequence":"additional","affiliation":[{"name":"Department of Astrophysical Sciences, Princeton University , Peyton Hall, Princeton, NJ 08544, USA"}]},{"given":"Fereshteh","family":"Majidi","sequence":"additional","affiliation":[{"name":"Department of Physics and Chemistry, Alzahra University , Vanak Village Street, Tehran, 1993893973, Iran"},{"name":"Department of Physics and Astronomy, University of British Columbia , 6224 Agricultural Road, Vancouver, BC V6T 1Z1, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2407-7956","authenticated-orcid":false,"given":"Yashar","family":"Akrami","sequence":"additional","affiliation":[{"name":"Laboratoire de Physique de l\u2019\u00c9cole Normale Sup\u00e9rieure, Universite PSL, CNRS, Sorbonne Universit\u00e9 , F-75005 Paris, France"},{"name":"Observatoire de Paris, Universit\u00e9 PSL, Sorbonne Universit\u00e9 , LERMA, F-75014 Paris, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3399-3574","authenticated-orcid":false,"given":"Stefano","family":"Camera","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 degli Studi di Torino , via P. 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