Euclid preparation
Astronomy and Astrophysics, vol. 712, pp. A166
Abstract
Context. The Euclid mission of the European Space Agency will deliver galaxy and cosmic shear surveys, which will be used to constrain initial conditions and statistics of primordial fluctuations. Aims. We present highlights for the Euclid scientific capability to test initial conditions beyond Λ cold dark matter with the three-dimensional galaxy clustering from the spectroscopic survey, the tomographic approach to 3 × 2pt statistics from photometric galaxy survey, and their combination. We then present how these Euclid results can be enhanced when combined with current and future measurements of the cosmic microwave background (CMB) anisotropies. Methods. We provide Fisher forecasts from the combination of Euclid spectroscopic and photometric surveys for spatial curvature, running of the spectral index of the power spectrum of curvature perturbations, isocurvature perturbations, and primordial features. For the parameters of these models, we also provide the combination of Euclid forecasts (pessimistic and optimistic) with three different CMB specifications, i.e. Planck , the Simons Observatory (SO), and CMB-S4. We provide Fisher forecasts for how the power spectrum and bispectrum from the Euclid spectroscopic survey will constrain the local, equilateral, and orthogonal shapes of primordial non-Gaussianity. We also review how Bayesian field-level inference of primordial non-Gaussianity can constrain local primordial non-Gaussianity. Results. We find that the combination of the Euclid main probes will provide an uncertainty of σ (Ω K ) = 0.0044 (0.003) at a 68% confidence level (CL) in pessimistic (optimistic) settings, assuming flat spatial sections as fiducial cosmology. We also find that the combination of the Euclid main probes can detect the running of the scalar spectral index for the fiducial value α s = −0.01 with approximately 2 σ (4 σ ) uncertainty and provide the uncertainty of σ ( α s ) = 0.004 (0.0015) for the fiducial value α s = −0.001 at a 68% CL, always with pessimistic (optimistic) settings. We show how Euclid will have the capability to provide constraints on isocurvature perturbations with a blue spectral index that are one order of magnitude tighter than current bounds. For primordial non-Gaussianity, the combined power spectrum and bispectrum Fisher forecast for the Euclid spectroscopic survey leads to σ ( f NL local ) = 2.2, σ ( f NL equil ) = 108, and σ ( f NL ortho ) = 33 by assuming k max = 0.15 h Mpc −1 and universality for the halo mass function. We show how Bayesian field-level inference can reach the combined power spectrum and bispectrum Fisher forecast uncertainty on f NL local at these large scales, although it is more conservative as it is based on more realistic three-dimensional mock data and masks. For the Euclid main probes, we find relative errors on the amplitude of primordial oscillations (with a fiducial value of 0.01), of 21% (18%) for linear frequency and of 22% (18%) for logarithmic frequency at a 68% CL in the pessimistic (optimistic) case. These uncertainties can be further improved by adding the information from the bispectrum and the non-linear reconstruction. Conclusions. We show how Euclid , with its unique combination of three-dimensional galaxy clustering from the spectroscopic survey and 3 × 2pt statistics from the photometric survey, will provide the tightest constraints on low redshift to date. By targeting a markedly different range in redshift and scale, Euclid ’s expected uncertainties are complementary to those obtained by CMB primary anisotropy, returning the tightest combined constraints on the physics of the early Universe.
Authors 100
-
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
-
Consejo Superior de Investigaciones Científicas · Instituto de Física Teórica · Case Western Reserve University
Affiliation as printed
CERCA/ISO, Department of Physics, Case Western Reserve University
Instituto de Física Teórica UAM-CSIC, Campus de Cantoblanco
-
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
-
University of Ferrara · Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica e Scienze della Terra, Università degli Studi di Ferrara
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara
-
Affiliation as printed
Institute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen University
-
University of Ferrara · Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara · University of the Western Cape
Affiliation as printed
Department of Physics and Astronomy, University of the Western Cape, Bellville
Dipartimento di Fisica e Scienze della Terra, Università degli Studi di Ferrara
Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara
-
Centre National de la Recherche Scientifique · Université Toulouse III - Paul Sabatier · Saint Joseph University · Heidelberg University · Institut de Recherche en Astrophysique et Planétologie · Université de Toulouse
Affiliation as printed
Institut de Recherche en Astrophysique et Planétologie (IRAP), Université de Toulouse, CNRS, UPS, CNES
Institut für Theoretische Physik, University of Heidelberg
Université St Joseph; Faculty of Sciences
-
Affiliation as printed
Department of Physics
Helsinki Institute of Physics
-
Consejo Superior de Investigaciones Científicas · Instituto de Física Teórica
Affiliation as printed
Instituto de Física Teórica UAM-CSIC, Campus de Cantoblanco
-
University of Padua · Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Padova · Osservatorio Astronomico di Padova · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica e Astronomia “G. Galilei”, Università di Padova
INAF-Osservatorio Astronomico di Padova
INFN-Padova
-
Universidad de La Laguna · Instituto de Astrofísica de Canarias
Affiliation as printed
Instituto de Astrofísica de Canarias, Vía Láctea
Universidad de La Laguna, Departamento de Astrofísica
-
Consejo Superior de Investigaciones Científicas · Instituto de Física Teórica
Affiliation as printed
Instituto de Física Teórica UAM-CSIC, Campus de Cantoblanco
-
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Bologna
-
Affiliation as printed
Departamento de Física, FCFM, Universidad de Chile
-
Centre National de la Recherche Scientifique · Université Toulouse III - Paul Sabatier · Institut de Recherche en Astrophysique et Planétologie · Université de Toulouse
Affiliation as printed
Institut de Recherche en Astrophysique et Planétologie (IRAP), Université de Toulouse, CNRS, UPS, CNES
-
Leiden University · University of the Basque Country
Affiliation as printed
Departamento de Física, Universidad del País Vasco UPV-EHU
Institute Lorentz, Leiden University
-
Leiden University · European Space Agency · Leiden Observatory · European Space Research and Technology Centre
Affiliation as printed
European Space Agency/ESTEC
Institute Lorentz, Leiden University
Leiden Observatory, Leiden University
-
Stockholm University · Institut d'Astrophysique de Paris
Affiliation as printed
Institut d’Astrophysique de Paris
Oskar Klein Centre for Cosmoparticle Physics, Department of Physics, Stockholm University
-
Centre National de la Recherche Scientifique · Institut d'Astrophysique de Paris · Sorbonne Université
Affiliation as printed
Institut d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne Université
-
Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
-
European Space Astronomy Centre
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo
-
Affiliation as printed
School of Mathematics and Physics, University of Surrey
-
Affiliation as printed
Institut für Theoretische Physik, University of Heidelberg
-
Brera Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Brera
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
Scuola Internazionale Superiore di Studi Avanzati · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
INFN, Sezione di Trieste
SISSA, International School for Advanced Studies
-
Centre National d'Études Spatiales
Affiliation as printed
Centre National d’Etudes Spatiales – Centre spatial de Toulouse
-
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · University of Bologna
Affiliation as printed
Dipartimento di Fisica e Astronomia, Università di Bologna
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe · National Institute for Astrophysics
Affiliation as printed
IFPU, Institute for Fundamental Physics of the Universe
INAF-Osservatorio Astronomico di Trieste
-
Brera Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università di Genova
INAF-Osservatorio Astronomico di Brera
INFN-Sezione di Genova
-
Astronomical Observatory of Capodimonte · University of Naples Federico II · National Institute for Astrophysics
Affiliation as printed
Department of Physics “E. Pancini”, University Federico II
INAF-Osservatorio Astronomico di Capodimonte
-
Istituto Nazionale di Fisica Nucleare, Sezione di Torino · Osservatorio Astrofisico di Torino · University of Turin · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica, Università degli Studi di Torino
INAF-Osservatorio Astrofisico di Torino
INFN-Sezione di Torino
-
Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
-
National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
-
Universitat Autònoma de Barcelona · Port d'Informació Científica · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
Affiliation as printed
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)
Port d’Informació Científica, Campus UAB
-
Astronomical Observatory of Rome · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
Istituto Nazionale di Fisica Nucleare · Astronomical Observatory of Capodimonte · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Capodimonte
INFN section of Naples
-
University of Hawaiʻi at Mānoa · University of Hawaii System
Affiliation as printed
Institute for Astronomy, University of Hawaii
-
Affiliation as printed
Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna
-
Instituto de Astrofísica de Canarias
Affiliation as printed
Instituto de Astrofísica de Canarias, Vía Láctea
-
Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
-
Affiliation as printed
Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester
-
European Space Agency · European Space Astronomy Centre · European Space Research Institute
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo
European Space Agency/ESRIN
-
Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
-
Institució Catalana de Recerca i Estudis Avançats · Institut de Ciències del Cosmos · Universitat de Barcelona
Affiliation as printed
Institució Catalana de Recerca i Estudis Avançats (ICREA)
Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (IEEC-UB)
-
Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
Affiliation as printed
UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon
-
Affiliation as printed
Mullard Space Science Laboratory, University College London
-
University of Lisbon · Institute of Astrophysics and Space Sciences
Affiliation as printed
Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande
Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande
-
Affiliation as printed
Department of Astronomy, University of Geneva
-
Centre National de la Recherche Scientifique · Aix-Marseille Université
Affiliation as printed
Aix-Marseille Université, CNRS, CNES, LAM
-
Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
-
Institute for Space Astrophysics and Planetology · National Institute for Astrophysics
Affiliation as printed
INAF-Istituto di Astrofisica e Planetologia Spaziali
-
Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
-
Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale
Affiliation as printed
Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale
-
Affiliation as printed
Department of Astronomy, University of Geneva
-
University of Manchester · Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester
-
European Space Astronomy Centre
Affiliation as printed
ESAC/ESA, Camino Bajo del Castillo
-
Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Padova
Affiliation as printed
INFN-Padova
-
Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
-
Institute for Space Astrophysics and Planetology · National Institute for Astrophysics
Affiliation as printed
INAF-Istituto di Astrofisica e Planetologia Spaziali
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
Astronomical Observatory of Rome · Agenzia Spaziale Italiana · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Roma
Space Science Data Center, Italian Space Agency
-
Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
-
Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya · Universitat Politècnica de Catalunya
Affiliation as printed
Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC
Institute of Space Sciences (ICE, CSIC), Campus UAB
-
Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
-
National Institute for Astrophysics
Affiliation as printed
INAF-IASF Milano
-
Trieste Astronomical Observatory · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Trieste
-
Ludwig-Maximilians-Universität München
Affiliation as printed
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
-
Royal Observatory · University of Edinburgh
Affiliation as printed
Institute for Astronomy, University of Edinburgh, Royal Observatory
-
Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
INFN-Sezione di Bologna
-
Max Planck Institute for Extraterrestrial Physics
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
-
Osservatorio Astronomico di Padova · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astronomico di Padova
-
Max Planck Institute for Extraterrestrial Physics · Ludwig-Maximilians-Universität München
Affiliation as printed
Max Planck Institute for Extraterrestrial Physics
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
-
Affiliation as printed
Institute of Theoretical Astrophysics, University of Oslo
-
Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
-
Affiliation as printed
Department of Physics, Lancaster University
-
Affiliation as printed
Felix Hormuth Engineering
-
Technical University of Denmark
Affiliation as printed
Cosmic Dawn Center (DAWN)
Technical University of Denmark
-
Max Planck Institute for Astronomy
Affiliation as printed
Max-Planck-Institut für Astronomie
-
Affiliation as printed
NASA Goddard Space Flight Center
-
Affiliation as printed
Department of Physics and Astronomy, University College London
-
Affiliation as printed
Department of Physics
Helsinki Institute of Physics
-
Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules
Affiliation as printed
Aix-Marseille Université, CNRS/IN2P3, CPPM
-
Affiliation as printed
Jet Propulsion Laboratory, California Institute of Technology
-
Lyon 1 Université · Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon
Affiliation as printed
Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822
-
Ludwig-Maximilians-Universität München
Affiliation as printed
Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München
-
Affiliation as printed
Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics
-
Affiliation as printed
Department of Physics
Helsinki Institute of Physics
-
Centre National de la Recherche Scientifique · Université Paris Sciences et Lettres · Observatoire de Paris · Sorbonne Université · Laboratoire d'Étude de l'Univers et des Phénomènes Extrêmes
Affiliation as printed
Laboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRS
-
Osservatorio Astrofisico di Torino · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio Astrofisico di Torino
-
Affiliation as printed
Institute of Theoretical Astrophysics, University of Oslo
-
Affiliation as printed
Department of Physics
Helsinki Institute of Physics
-
Affiliation as printed
SKA Observatory, Jodrell Bank, Lower Withington
-
Centre National de la Recherche Scientifique · Centre de Calcul de l’Institut National de Physique Nucléaire et de Physique des Particules
Affiliation as printed
Centre de Calcul de l’IN2P3/CNRS
-
University of Milan · Istituto Nazionale di Fisica Nucleare, Sezione di Milano · National Institute for Astrophysics
Affiliation as printed
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano
INAF-IASF Milano
INFN-Sezione di Milano
-
Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics
Affiliation as printed
INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna
Cited by 1 stored of 1
1 result
No patents citing this paper on Lens.org (checked 2026-10-06).