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<i>Euclid</i> preparation

J. BelAix-Marseille Université, Université de Toulon, CNRS, CPTS. Gouyou BeauchampsInstitut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPCPasquale BarattaAix Marseille Univ, INSERM, MMGL. BlotCenter for Data-Driven Discovery, Kavli IPMU (WPI), UTIAS, The University of TokyoC. CarboneINAF-IASF MilanoPier-Stefano CorasanitiInstitut d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne UniversitéE SefusattiIFPU, Institute for Fundamental Physics of the UniverseS. EscoffierAix-Marseille Université, CNRS/IN2P3, CPPMW GillardAix-Marseille Université, CNRS/IN2P3, CPPMA AmaraSchool of Mathematics and Physics, University of SurreyS AndreonINAF-Osservatorio Astronomico di BreraN AuricchioINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaC. BaccigalupiIFPU, Institute for Fundamental Physics of the UniverseM BaldiDipartimento di Fisica e Astronomia, Università di BolognaS BardelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaP. BattagliaINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaA. BivianoIFPU, Institute for Fundamental Physics of the UniverseE. BranchiniDipartimento di Fisica, Università di GenovaM BresciaDepartment of Physics “E. Pancini”, University Federico IIJ BrinchmannEuropean Southern ObservatoryS. CameraDipartimento di Fisica, Università degli Studi di TorinoG Cañas-HerreraEuropean Space Agency/ESTECV. CapobiancoINAF-Osservatorio Astrofisico di TorinoV.F CardoneINAF-Osservatorio Astronomico di RomaJ. CarreteroCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)Santiago CasasInstitute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen UniversityM CastellanoINAF-Osservatorio Astronomico di RomaG CastignaniINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaS CavuotiINAF-Osservatorio Astronomico di CapodimonteK. C. ChambersInstitute for Astronomy, University of HawaiiA. CimattiDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC Colodro-CondeInstituto de Astrofísica de CanariasG. CongedoInstitute for Astronomy, University of Edinburgh, Royal ObservatoryC.J. ConseliceJodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of ManchesterL ConversiESAC/ESAY. CopinUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822A. CostilleAix-Marseille Université, CNRS, CNES, LAMF. CourbinInstitució Catalana de Recerca i Estudis Avançats (ICREA)H.M CourtoisUCB Lyon 1, CNRS/IN2P3, IUF, IP2I LyonA da SilvaDepartamento de Física, Faculdade de Ciências, Universidade de LisboaH. DegaudenziDepartment of Astronomy, University of GenevaChris CarboneAix-Marseille Université, CNRS, CNES, LAMG de LuciaINAF-Osservatorio Astronomico di TriesteF DubathDepartment of Astronomy, University of GenevaC.A.J DuncanUniversity of EdinburghX. DupacESAC/ESAM. FarinaINAF-Istituto di Astrofisica e Planetologia SpazialiR FarinelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaF. FaustiniINAF-Osservatorio Astronomico di RomaS FerriolUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822F FinelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaN. FourmanoitAix-Marseille Université, CNRS/IN2P3, CPPMM. FrailisINAF-Osservatorio Astronomico di TriesteE. FranceschiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaM. FumanaINAF-IASF MilanoS. GaleottaINAF-Osservatorio Astronomico di TriesteKoshy GeorgeUniversitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität MünchenB. GillisInstitute for Astronomy, University of Edinburgh, Royal ObservatoryC. GiocoliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaJ. Gracia-CarpioMax Planck Institute for Extraterrestrial PhysicsA. GrazianINAF-Osservatorio Astronomico di PadovaF. GruppMax Planck Institute for Extraterrestrial PhysicsL. GuzzoDipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di MilanoS. V. H. HauganInstitute of Theoretical Astrophysics, University of OsloW. HolmesJet Propulsion Laboratory, California Institute of TechnologyF. HormuthFelix Hormuth EngineeringA. HornstrupCosmic Dawn Center (DAWN)K JahnkeMax-Planck-Institut für AstronomieM. JhabvalaNASA Goddard Space Flight CenterB. JoachimiDepartment of Physics and Astronomy, University College LondonE. KeihänenS. KermicheAix-Marseille Université, CNRS/IN2P3, CPPMB. KubikUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822M. KunzUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsH. Kurki‐SuonioDepartment of PhysicsA. M. C. Le BrunLaboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRSS LigoriINAF-Osservatorio Astrofisico di TorinoP. B. LiljeInstitute of Theoretical Astrophysics, University of OsloV. LindholmDepartment of PhysicsI. LloroSKA Observatory, Jodrell BankG. MainettiCentre de Calcul de l’IN2P3/CNRSD. MainoDipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di MilanoE. MaioranoINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaO. MansuttiINAF-Osservatorio Astronomico di TriesteO MarggrafUniversität Bonn, Argelander-Institut für AstronomieK. MarkovičJet Propulsion Laboratory, California Institute of TechnologyM. MartinelliINAF-Osservatorio Astronomico di RomaN. MartinetAix-Marseille Université, CNRS, CNES, LAMF. MarulliDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaR MasseyE. MedinaceliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaY MellierInstitut d’Astrophysique de ParisM. MeneghettiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaE. MerlinINAF-Osservatorio Astronomico di RomaG. MeylanInstitute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de SauvernyA. MoraTelespazio UK S.L. for European Space Agency (ESA)M. MorescoDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaL. MoscardiniDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC. NeissnerInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UABS.-M NiemiEuropean Space Agency/ESTEC
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Annotatsiya

We investigate the non-Gaussian features in the distribution of the matter power spectrum multipoles. Using the COVMOS method, we generated 100 000 mock realisations of dark matter density fields in both real and redshift space across multiple redshifts and cosmological models. We derived an analytical framework linking the non-Gaussianity of the power spectrum distribution to higher-order statistics of the density field, including the trispectrum and pentaspectrum. We explored the effect of redshift-space distortions, the geometry of the survey, the Fourier binning, the integral constraint, and the shot noise on the skewness of the distribution of the power spectrum measurements. Our results demonstrate that the likelihood of the estimated matter power spectrum significantly deviates from a Gaussian assumption on non-linear scales, particularly at low redshift. This departure is primarily driven by the pentaspectrum contribution, which dominates over the trispectrum at intermediate scales. We also examined the impact of the finiteness of the survey geometry in the context of the Euclid mission, and we find that both the shape of the survey and the integral constraint amplify the skewness.

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