A

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

  1. 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

  2. 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

  3. 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

  4. 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

  5. RWTH Aachen University

    Affiliation as printed

    Institute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen University

  6. 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

  7. 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

  8. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Helsinki Institute of Physics

  9. Consejo Superior de Investigaciones Científicas · Instituto de Física Teórica

    Affiliation as printed

    Instituto de Física Teórica UAM-CSIC, Campus de Cantoblanco

  10. 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

  11. 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

  12. Consejo Superior de Investigaciones Científicas · Instituto de Física Teórica

    Affiliation as printed

    Instituto de Física Teórica UAM-CSIC, Campus de Cantoblanco

  13. 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

  14. University of Chile

    Affiliation as printed

    Departamento de Física, FCFM, Universidad de Chile

  15. 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

  16. Leiden University · University of the Basque Country

    Affiliation as printed

    Departamento de Física, Universidad del País Vasco UPV-EHU

    Institute Lorentz, Leiden University

  17. 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

  18. 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

  19. 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

  20. Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale

  21. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo

  22. University of Surrey

    Affiliation as printed

    School of Mathematics and Physics, University of Surrey

  23. Heidelberg University

    Affiliation as printed

    Institut für Theoretische Physik, University of Heidelberg

  24. Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  25. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  26. 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

  27. Centre National d'Études Spatiales

    Affiliation as printed

    Centre National d’Etudes Spatiales – Centre spatial de Toulouse

  28. 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

  29. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  30. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  31. 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

  32. 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

  33. 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

  34. 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

  35. Osservatorio Astrofisico di Torino · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astrofisico di Torino

  36. National Institute for Astrophysics

    Affiliation as printed

    INAF-IASF Milano

  37. 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

  38. Astronomical Observatory of Rome · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

  39. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  40. 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

  41. University of Hawaiʻi at Mānoa · University of Hawaii System

    Affiliation as printed

    Institute for Astronomy, University of Hawaii

  42. University of Bologna

    Affiliation as printed

    Dipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di Bologna

  43. Instituto de Astrofísica de Canarias

    Affiliation as printed

    Instituto de Astrofísica de Canarias, Vía Láctea

  44. Royal Observatory · University of Edinburgh

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  45. University of Manchester

    Affiliation as printed

    Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of Manchester

  46. European Space Agency · European Space Astronomy Centre · European Space Research Institute

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo

    European Space Agency/ESRIN

  47. 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

  48. 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)

  49. 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

  50. University College London

    Affiliation as printed

    Mullard Space Science Laboratory, University College London

  51. 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

  52. University of Geneva

    Affiliation as printed

    Department of Astronomy, University of Geneva

  53. Centre National de la Recherche Scientifique · Aix-Marseille Université

    Affiliation as printed

    Aix-Marseille Université, CNRS, CNES, LAM

  54. Trieste Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

  55. Institute for Space Astrophysics and Planetology · National Institute for Astrophysics

    Affiliation as printed

    INAF-Istituto di Astrofisica e Planetologia Spaziali

  56. Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale

  57. Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut d'Astrophysique Spatiale

    Affiliation as printed

    Université Paris-Saclay, CNRS, Institut d’astrophysique spatiale

  58. University of Geneva

    Affiliation as printed

    Department of Astronomy, University of Geneva

  59. 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

  60. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo

  61. Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Padova

    Affiliation as printed

    INFN-Padova

  62. 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

  63. Institute for Space Astrophysics and Planetology · National Institute for Astrophysics

    Affiliation as printed

    INAF-Istituto di Astrofisica e Planetologia Spaziali

  64. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  65. 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

  66. 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

  67. 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

  68. Trieste Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

  69. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  70. National Institute for Astrophysics

    Affiliation as printed

    INAF-IASF Milano

  71. Trieste Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

  72. Ludwig-Maximilians-Universität München

    Affiliation as printed

    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München

  73. Royal Observatory · University of Edinburgh

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  74. 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

  75. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics

  76. Osservatorio Astronomico di Padova · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Padova

  77. 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

  78. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo

  79. Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology

  80. Lancaster University

    Affiliation as printed

    Department of Physics, Lancaster University

  81. Affiliation as printed

    Felix Hormuth Engineering

  82. Technical University of Denmark

    Affiliation as printed

    Cosmic Dawn Center (DAWN)

    Technical University of Denmark

  83. Max Planck Institute for Astronomy

    Affiliation as printed

    Max-Planck-Institut für Astronomie

  84. Goddard Space Flight Center

    Affiliation as printed

    NASA Goddard Space Flight Center

  85. University College London

    Affiliation as printed

    Department of Physics and Astronomy, University College London

  86. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Helsinki Institute of Physics

  87. 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

  88. Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology

  89. 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

  90. Ludwig-Maximilians-Universität München

    Affiliation as printed

    Universitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität München

  91. University of Geneva

    Affiliation as printed

    Université de Genève, Département de Physique Théorique and Centre for Astroparticle Physics

  92. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Helsinki Institute of Physics

  93. 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

  94. Osservatorio Astrofisico di Torino · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astrofisico di Torino

  95. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo

  96. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Helsinki Institute of Physics

  97. SKA Observatory

    Affiliation as printed

    SKA Observatory, Jodrell Bank, Lower Withington

  98. 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

  99. 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

  100. 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).

References 234