A

Euclid preparation

Astronomy and Astrophysics, vol. 713, pp. A214

Abstract

Context. The Euclid mission has the potential to determine the fundamental physical nature of late-time cosmic acceleration and, as such, of deviations from the standard cosmological model, Λ cold dark matter. In this paper we focus on model-independent methods for modifying the evolution of scalar perturbations on linear scales. We considered two powerful and convenient approaches: The first is based on the two phenomenological modified gravity (PMG) parameters, μ mg and Σ mg , which are phenomenologically connected to the clustering of matter and weak lensing (WL), respectively. The second is the effective field theory (EFT) of dark energy and modified gravity, which we used to parameterise the braiding function, α B , which defines the mixing between the metric and the dark energy field typical of Galileon theories. Aims. We estimate cosmological parameters based on spectroscopic and photometric primary probes by Euclid for a given set of additional parameters using the PMG and EFT models. Methods. We used the Fisher matrix method applied to spectroscopic galaxy clustering, WL, photometric galaxy clustering (GC ph ), and the cross-correlation between GC ph and WL. To model photometric predictions on nonlinear scales, we used the halo model reaction approach to cover two limiting cases for the screening mechanism: the unscreened (US) case, for which the screening mechanism is not present; and the super-screened (SS) case, which assumes strong screening. We also assumed scale cuts to account for our uncertainties when modelling nonlinear perturbation evolution. We chose a time-dependent form for { μ mg , Σ mg }, with two fiducial sets of values for the corresponding model parameters at the present time, { μ ¯ 0 ,Σ¯ 0 }, and two forms for α B , with one fiducial set of values for each of the model parameters, α B, 0 and { α B, 0 , m }. Results. At the 68.3% confidence level, the percentage relative errors obtained with Euclid alone and our conservative settings for the full combination of probes for the US case are: for { μ ¯ 0 ,Σ¯ 0 }, with a ΛCDM fiducial, we obtain {23.3%, 2.6%}; for a fiducial { μ ¯ 0 ,Σ¯ 0 } = {0.5,0.5} we obtain {36.2%, 2.7%}; for α B, 0 whose fiducial is 0.2, we have 31.1%; and for { α B, 0 , m } with fiducial {0.9, 2.4} we have 11.6% and 11.8%. The constraints we obtain with the SS prescription provide similar values. We also computed constraints for different combinations of probes to assess their standalone and complementary constraining power.

Authors 97

  1. University of Lisbon · Institute of Astrophysics and Space Sciences

    Affiliation as printed

    Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande

  2. University of Naples Federico II

    Affiliation as printed

    Dipartimento di Fisica “E. Pancini”, Universita degli Studi di Napoli Federico II

  3. 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

  4. Ludwig-Maximilians-Universität München

    Affiliation as printed

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

  5. University of Lisbon · Institute of Astrophysics and Space Sciences

    Affiliation as printed

    Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande

  6. Royal Observatory · University of Edinburgh

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  7. Astronomical Observatory of Rome · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

    INFN-Sezione di Roma, Piazzale Aldo Moro, 2 – c/o Dipartimento di Fisica, Edificio G. Marconi

  8. University of Portsmouth · RWTH Aachen University

    Affiliation as printed

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

    Institute of Cosmology and Gravitation, University of Portsmouth

  9. Astronomical Observatory of Rome · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

    INFN-Sezione di Roma, Piazzale Aldo Moro, 2 – c/o Dipartimento di Fisica, Edificio G. Marconi

  10. University College London · University of Portsmouth

    Affiliation as printed

    Department of Physics and Astronomy, University College London

    Institute of Cosmology and Gravitation, University of Portsmouth

  11. Centre National de la Recherche Scientifique · Université de Montpellier · Laboratoire Univers et Particules de Montpellier

    Affiliation as printed

    Laboratoire univers et particules de Montpellier, Université de Montpellier, CNRS

  12. University of Manchester

    Affiliation as printed

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

  13. 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

  14. University of Bonn · Ruhr University Bochum

    Affiliation as printed

    Ruhr University Bochum, Faculty of Physics and Astronomy, Astronomical Institute (AIRUB), German Centre for Cosmological Lensing (GCCL)

    Universität Bonn, Argelander-Institut für Astronomie

  15. University of Portsmouth

    Affiliation as printed

    Institute of Cosmology and Gravitation, University of Portsmouth

  16. University of Geneva

    Affiliation as printed

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

  17. Istituto Nazionale di Fisica Nucleare, Sezione di Torino · University of Applied Sciences of the Grisons · University of Turin

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Torino

    INFN-Sezione di Torino

    University of Applied Sciences of the Grisons, Department of Applied Future Technologies

  18. Leiden University

    Affiliation as printed

    Institute Lorentz, Leiden University

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

    Affiliation as printed

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

  20. University of Surrey

    Affiliation as printed

    School of Mathematics and Physics, University of Surrey

  21. Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  22. Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

    INFN, Sezione di Trieste

  23. Scuola Internazionale Superiore di Studi Avanzati · Brera Astronomical Observatory · National Institute for Astrophysics · University of Bologna

    Affiliation as printed

    Dipartimento di Fisica e Astronomia, Università di Bologna

    INAF-Osservatorio Astronomico di Brera

    SISSA, International School for Advanced Studies

  24. Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  25. Institute for Fundamental Physics of the Universe · Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  26. Istituto Nazionale di Fisica Nucleare, Sezione di Torino

    Affiliation as printed

    INFN-Sezione di Torino

  27. University of Surrey · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · University of Genoa

    Affiliation as printed

    Dipartimento di Fisica, Università di Genova

    INFN-Sezione di Bologna

    School of Mathematics and Physics, University of Surrey

  28. Astronomical Observatory of Capodimonte · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · 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

    INFN-Sezione di Genova

  29. Istituto Nazionale di Fisica Nucleare · Universidade do Porto · Institute of Astrophysics and Space Sciences · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · Centro de Astrofísica da Universidade do Porto

    Affiliation as printed

    INFN section of Naples

    Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP, Rua das Estrelas

  30. Istituto Nazionale di Fisica Nucleare, Sezione di Torino · University of Applied Sciences of the Grisons · University of Turin

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Torino

    INFN-Sezione di Torino

    University of Applied Sciences of the Grisons, Department of Applied Future Technologies

  31. Universidade do Porto · Osservatorio Astrofisico di Torino · National Institute for Astrophysics

    Affiliation as printed

    Faculdade de Ciências da Universidade do Porto, Rua do Campo de Alegre

    INAF-Osservatorio Astrofisico di Torino

  32. Istituto Nazionale di Fisica Nucleare, Sezione di Torino

    Affiliation as printed

    INFN-Sezione di Torino

  33. Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas · National Institute for Astrophysics

    Affiliation as printed

    Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)

    INAF-IASF Milano

  34. Astronomical Observatory of Rome · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

  35. Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  36. 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

  37. Port d'Informació Científica

    Affiliation as printed

    Port d’Informació Científica, Campus UAB, C. Albareda s/n

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

    Affiliation as printed

    Institute for Astronomy, University of Hawaii

  39. University of Bologna

    Affiliation as printed

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

  40. Royal Observatory · University of Edinburgh

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  41. University of Manchester

    Affiliation as printed

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

  42. European Space Agency · Instituto de Astrofísica de Canarias · European Space Research Institute

    Affiliation as printed

    European Space Agency/ESRIN

    Instituto de Astrofísica de Canarias, Vía Láctea

  43. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo

  44. Istituto Nazionale di Fisica Nucleare, Sezione di Torino

    Affiliation as printed

    INFN-Sezione di Torino

  45. 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 · Institut de Ciències del Cosmos · École Polytechnique Fédérale de Lausanne · Universitat de Barcelona

    Affiliation as printed

    Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (IEEC-UB)

    Institute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de Sauverny

    Université Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822

  46. Institució Catalana de Recerca i Estudis Avançats

    Affiliation as printed

    Institució Catalana de Recerca i Estudis Avançats (ICREA)

  47. Centre National de la Recherche Scientifique · University of Lisbon · Institute of Astrophysics and Space Sciences · Institut National de Physique Nucléaire et de Physique des Particules · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

    Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências, Universidade de Lisboa, Campo Grande

    UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon

  48. University of Lisbon

    Affiliation as printed

    Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande

  49. University of Geneva

    Affiliation as printed

    Department of Astronomy, University of Geneva

  50. Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

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

    Affiliation as printed

    Aix-Marseille Université, CNRS, CNES, LAM

  52. Leiden University

    Affiliation as printed

    Institute Lorentz, Leiden University

  53. University of Lisbon

    Affiliation as printed

    Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Edifício C8, Campo Grande

  54. University of Manchester

    Affiliation as printed

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

  55. European Space Agency · European Space Research Institute

    Affiliation as printed

    European Space Agency/ESRIN

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

    Affiliation as printed

    INAF-Istituto di Astrofisica e Planetologia Spaziali

  57. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo

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

    Affiliation as printed

    INFN-Padova

  59. 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

  60. Centre National de la Recherche Scientifique · Université Paris Cité · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Université Paris-Saclay · Astronomical Observatory of Rome · Astrophysique, Instrumentation et Modélisation · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

    Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM

  61. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo

  62. Agenzia Spaziale Italiana · Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

    Space Science Data Center, Italian Space Agency

  63. Institut d'Estudis Espacials de Catalunya · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · Universitat Politècnica de Catalunya

    Affiliation as printed

    INFN-Bologna

    Institut d’Estudis Espacials de Catalunya (IEEC), Edifici RDIT, Campus UPC

  64. Institute of Space Sciences

    Affiliation as printed

    Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, s/n

  65. Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

  66. Brera Astronomical Observatory · National Institute for Astrophysics

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  67. European Space Agency · European Space Research and Technology Centre

    Affiliation as printed

    European Space Agency/ESTEC

  68. Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

  69. Royal Observatory · University of Edinburgh

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  70. Brera Astronomical Observatory · National Institute for Astrophysics · University of Bologna

    Affiliation as printed

    Dipartimento di Fisica e Astronomia, Università di Bologna

    INAF-Osservatorio Astronomico di Brera

  71. University of Bristol

    Affiliation as printed

    School of Physics, HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue

  72. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics

  73. University of Bristol · Ludwig-Maximilians-Universität München

    Affiliation as printed

    School of Physics, HH Wills Physics Laboratory, University of Bristol, Tyndall Avenue

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

  74. University of Milan · University of Surrey · Osservatorio Astronomico di Padova · National Institute for Astrophysics

    Affiliation as printed

    Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano

    INAF-Osservatorio Astronomico di Padova

    School of Mathematics and Physics, University of Surrey

  75. Istituto Nazionale di Fisica Nucleare, Sezione di Milano

    Affiliation as printed

    INFN-Sezione di Milano

  76. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo

  77. Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology

  78. Technical University of Denmark

    Affiliation as printed

    Felix Hormuth Engineering

    Technical University of Denmark

  79. Affiliation as printed

    Cosmic Dawn Center (DAWN)

  80. Centre National de la Recherche Scientifique · Université Toulouse III - Paul Sabatier · Institut d'Astrophysique de Paris · Sorbonne Université · 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 d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne Université

  81. Centre National de la Recherche Scientifique · Université Paris-Saclay · Institut National de Physique Nucléaire et de Physique des Particules · Laboratoire de Physique des 2 Infinis Irène Joliot-Curie

    Affiliation as printed

    Université Paris-Saclay, CNRS/IN2P3, IJCLab

  82. Max Planck Institute for Astronomy

    Affiliation as printed

    Max-Planck-Institut für Astronomie

  83. University College London

    Affiliation as printed

    Department of Physics and Astronomy, University College London

  84. Goddard Space Flight Center

    Affiliation as printed

    NASA Goddard Space Flight Center

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

    Affiliation as printed

    INFN-Padova

  86. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo

  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. European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA, Camino Bajo del Castillo, s/n., Urb. Villafranca del Castillo

  89. University of Geneva

    Affiliation as printed

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

  90. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Department of Physics and Helsinki Institute of Physics

  91. Helsinki Institute of Physics

    Affiliation as printed

    Helsinki Institute of Physics, Gustaf Hällströmin katu 2

  92. Istituto Nazionale di Fisica Nucleare, Sezione di Torino

    Affiliation as printed

    INFN-Sezione di Torino

  93. Istituto Nazionale di Fisica Nucleare, Sezione di Milano

    Affiliation as printed

    INFN-Sezione di Milano

  94. Helsinki Institute of Physics

    Affiliation as printed

    Department of Physics

    Department of Physics and Helsinki Institute of Physics

  95. Centre National de la Recherche Scientifique · Université Paris Cité · Université Paris Sciences et Lettres · Observatoire de Paris · Laboratoire Univers et Théories

    Affiliation as printed

    Laboratoire Univers et Théorie, Observatoire de Paris, Université PSL, Université Paris Cité, CNRS

  96. SKA Observatory

    Affiliation as printed

    SKA Observatory, Jodrell Bank, Lower Withington

  97. University of Milan · European Space Agency · Osservatorio Astronomico di Padova · European Space Research and Technology Centre · National Institute for Astrophysics

    Affiliation as printed

    Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano

    European Space Agency/ESTEC

    INAF-Osservatorio Astronomico di Padova

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References 118