A

Euclid preparation

Astronomy and Astrophysics, vol. 713, pp. A259

Abstract

Accurate modelling of redshift-space distortions (RSDs) is essential for maximising the cosmological information extracted from large galaxy redshift surveys. In preparation for the forthcoming analysis of the Euclid spectroscopic data, we investigated three approaches to modelling RSD effects on the power spectrum multipoles of mock H α emission line galaxies. We focused on two one-loop perturbation theory models – the effective field theory (EFT) and velocity difference generator (VDG ∞ ) – that differ in their treatment of the real-to-redshift space mapping on small scales and a third approach, the BACCO emulator, that adopts a hybrid strategy combining perturbation theory with high-resolution N -body simulations. We assessed the ability of these models to recover key cosmological parameters, including the expansion rate h , the cold dark matter density parameter ω c , and the scalar amplitude A s across four redshift bins spanning 0.9 ≤ z ≤ 1.8. In each bin, we found that VDG ∞ and BACCO outperform the EFT model across all scales up to k max ≲ 0.35 h Mpc −1 . While BACCO saturates in constraining power at intermediate scales and higher redshift, the VDG ∞ model continues to improve parameter constraints beyond k max ≳ 0.30 h Mpc −1 . The EFT model, although robust on large scales, exhibits significant parameter biases for k max ≳ 0.25 h Mpc −1 , limiting its applicability to Euclid -like H α samples. Among the full perturbation theory-based models, the enhanced treatment of small-scale effects of RSDs in VDG ∞ improves cosmological parameter constraints by up to a factor of two.

Authors 99

  1. Scuola Internazionale Superiore di Studi Avanzati · National Institute for Astrophysics · Trieste Astronomical Observatory · Universitat Politècnica de Catalunya · Institute for Fundamental Physics of the Universe · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

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

    Institute of Space Sciences (ICE, CSIC), Campus UAB

    SISSA, International School for Advanced Studies

  2. Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

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

    Institute of Space Sciences (ICE, CSIC), Campus UAB

  3. University of Edinburgh · Royal Observatory

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  4. Ikerbasque · Donostia International Physics Center

    Affiliation as printed

    Donostia International Physics Center (DIPC)

    IKERBASQUE, Basque Foundation for Science

  5. National Institute for Astrophysics · Brera Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

  6. University of Bonn

    Affiliation as printed

    Universität Bonn, Argelander-Institut für Astronomie

  7. Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

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

    Institute of Space Sciences (ICE, CSIC), Campus UAB

  8. National Institute for Astrophysics · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

    INFN, Sezione di Trieste

  9. National Institute for Astrophysics · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

    INFN, Sezione di Trieste

  10. Centre National de la Recherche Scientifique · Université Savoie Mont Blanc · Laboratoire d'Annecy de Physique Théorique

    Affiliation as printed

    Laboratoire d’Annecy-le-Vieux de Physique Theorique, CNRS & Universite Savoie Mont Blanc

  11. Universitat Politècnica de Catalunya · University of Portsmouth · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

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

    Institute of Cosmology and Gravitation, University of Portsmouth

    Institute of Space Sciences (ICE, CSIC), Campus UAB

  12. University of Oxford

    Affiliation as printed

    Department of Physics, Oxford University

  13. Centre National de la Recherche Scientifique · Université Paris-Saclay · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Astrophysique, Instrumentation et Modélisation · Université Paris Cité

    Affiliation as printed

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

  14. University of Geneva

    Affiliation as printed

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

  15. Technion – Israel Institute of Technology

    Affiliation as printed

    Technion Israel Institute of Technology

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

    Affiliation as printed

    Aix-Marseille Université, CNRS, CNES, LAM

  17. Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

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

    Institute of Space Sciences (ICE, CSIC), Campus UAB

  18. 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

  19. University of Milan

    Affiliation as printed

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

  20. Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Parma

    Affiliation as printed

    INFN Gruppo Collegato di Parma

  21. University of Bonn

    Affiliation as printed

    Universität Bonn, Argelander-Institut für Astronomie

  22. University of Bonn

    Affiliation as printed

    Universität Bonn, Argelander-Institut für Astronomie

  23. National Institute for Astrophysics · Trieste Astronomical Observatory · University of Trieste · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    Dipartimento di Fisica – Sezione di Astronomia, Università di Trieste

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

    INFN, Sezione di Trieste

  24. Scuola Internazionale Superiore di Studi Avanzati · National Institute for Astrophysics · Trieste Astronomical Observatory · Fondazione ICSC Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing

    Affiliation as printed

    ICSC – Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing

    INAF-Osservatorio Astronomico di Trieste

    SISSA, International School for Advanced Studies

  25. National Institute for Astrophysics · University of Genoa · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · Brera Astronomical Observatory

    Affiliation as printed

    Dipartimento di Fisica, Università di Genova

    INAF-Osservatorio Astronomico di Brera

    INFN-Sezione di Genova

  26. European Space Agency · European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA

  27. National Institute for Astrophysics · Brera Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Brera

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

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  29. Scuola Internazionale Superiore di Studi Avanzati · National Institute for Astrophysics · Trieste Astronomical Observatory · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste · Institute for Fundamental Physics of the Universe

    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

  30. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · 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

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

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  32. Ludwig-Maximilians-Universität München · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics

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

  33. National Institute for Astrophysics · Trieste Astronomical Observatory · Institute for Fundamental Physics of the Universe

    Affiliation as printed

    IFPU, Institute for Fundamental Physics of the Universe

    INAF-Osservatorio Astronomico di Trieste

  34. National Institute for Astrophysics · University of Genoa · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · Brera Astronomical Observatory

    Affiliation as printed

    Dipartimento di Fisica, Università di Genova

    INAF-Osservatorio Astronomico di Brera

    INFN-Sezione di Genova

  35. National Institute for Astrophysics · University of Naples Federico II · Astronomical Observatory of Capodimonte

    Affiliation as printed

    Department of Physics “E. Pancini”, University Federico II

    INAF-Osservatorio Astronomico di Capodimonte

  36. National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Torino · University of Turin · Osservatorio Astrofisico di Torino

    Affiliation as printed

    Dipartimento di Fisica, Università degli Studi di Torino

    INAF-Osservatorio Astrofisico di Torino

    INFN-Sezione di Torino

  37. National Institute for Astrophysics · Osservatorio Astrofisico di Torino

    Affiliation as printed

    INAF-Osservatorio Astrofisico di Torino

  38. National Institute for Astrophysics

    Affiliation as printed

    INAF-IASF Milano

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

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

    INFN-Sezione di Roma

  40. Universitat Autònoma de Barcelona · Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas · Port d'Informació Científica

    Affiliation as printed

    Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)

    Port d’Informació Científica, Campus UAB

  41. RWTH Aachen University · Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

    Affiliation as printed

    Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR), Linder Höhe

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

  42. Universitat Politècnica de Catalunya · Institute of Space Sciences · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

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

    Institute of Space Sciences (ICE, CSIC), Campus UAB

  43. National Institute for Astrophysics · Astronomical Observatory of Rome

    Affiliation as printed

    INAF-Osservatorio Astronomico di Roma

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

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  45. National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · Astronomical Observatory of Capodimonte

    Affiliation as printed

    INAF-Osservatorio Astronomico di Capodimonte

    INFN section of Naples

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

    Affiliation as printed

    Institute for Astronomy, University of Hawaii

  47. University of Bologna

    Affiliation as printed

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

  48. Instituto de Astrofísica de Canarias

    Affiliation as printed

    Instituto de Astrofísica de Canarias

  49. University of Edinburgh · Royal Observatory

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

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

    Affiliation as printed

    ESAC/ESA

    European Space Agency/ESRIN

  51. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

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

  52. Institut de Ciències del Cosmos · Universitat de Barcelona · Institució Catalana de Recerca i Estudis Avançats · Universitat Politècnica de Catalunya · Institut d'Estudis Espacials de Catalunya

    Affiliation as printed

    Institució Catalana de Recerca i Estudis Avançats (ICREA)

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

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

  53. 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

  54. University of Geneva

    Affiliation as printed

    Department of Astronomy, University of Geneva

  55. National Institute for Astrophysics · Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

  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 Edinburgh · Royal Observatory

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  60. European Space Agency · European Space Astronomy Centre

    Affiliation as printed

    ESAC/ESA

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

    Affiliation as printed

    INFN-Padova

  62. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille

    Affiliation as printed

    Aix-Marseille Université, CNRS/IN2P3, CPPM

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

    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. Centre National de la Recherche Scientifique · Université Paris-Saclay · Commissariat à l'Énergie Atomique et aux Énergies Alternatives · Astrophysique, Instrumentation et Modélisation · Université Paris Cité

    Affiliation as printed

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

  66. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · Institut de Physique des 2 Infinis de Lyon

    Affiliation as printed

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

  67. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

    INFN-Bologna

  68. University of Bristol

    Affiliation as printed

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

  69. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille

    Affiliation as printed

    Aix-Marseille Université, CNRS/IN2P3, CPPM

  70. National Institute for Astrophysics · Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

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

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

  72. National Institute for Astrophysics

    Affiliation as printed

    INAF-IASF Milano

  73. National Institute for Astrophysics · Trieste Astronomical Observatory

    Affiliation as printed

    INAF-Osservatorio Astronomico di Trieste

  74. Ludwig-Maximilians-Universität München

    Affiliation as printed

    University Observatory, LMU Faculty of Physics

  75. University of Edinburgh · Royal Observatory

    Affiliation as printed

    Institute for Astronomy, University of Edinburgh, Royal Observatory

  76. Osservatorio di Astrofisica e Scienza dello Spazio · National Institute for Astrophysics · Istituto Nazionale di Fisica Nucleare, Sezione di Bologna

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

    INFN-Sezione di Bologna

  77. Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics

  78. National Institute for Astrophysics · Osservatorio Astronomico di Padova

    Affiliation as printed

    INAF-Osservatorio Astronomico di Padova

  79. Ludwig-Maximilians-Universität München · Max Planck Institute for Extraterrestrial Physics

    Affiliation as printed

    Max Planck Institute for Extraterrestrial Physics

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

  80. National Institute for Astrophysics · University of Milan · Istituto Nazionale di Fisica Nucleare, Sezione di Milano · Brera Astronomical Observatory

    Affiliation as printed

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

    INAF-Osservatorio Astronomico di Brera

    INFN-Sezione di Milano

  81. University of Oslo

    Affiliation as printed

    Institute of Theoretical Astrophysics, University of Oslo

  82. Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology

  83. Affiliation as printed

    Felix Hormuth Engineering

  84. Technical University of Denmark

    Affiliation as printed

    Cosmic Dawn Center (DAWN)

    Technical University of Denmark

  85. Max Planck Institute for Astronomy

    Affiliation as printed

    Max-Planck-Institut für Astronomie

  86. University College London

    Affiliation as printed

    Department of Physics and Astronomy, University College London

  87. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Aix-Marseille Université · Centre de physique des particules de Marseille

    Affiliation as printed

    Aix-Marseille Université, CNRS/IN2P3, CPPM

  88. Jet Propulsion Laboratory

    Affiliation as printed

    Jet Propulsion Laboratory, California Institute of Technology

  89. Centre National de la Recherche Scientifique · Institut National de Physique Nucléaire et de Physique des Particules · Lyon 1 Université · 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 · Sorbonne Université · Observatoire de Paris · 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. National Institute for Astrophysics · Osservatorio Astrofisico di Torino

    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

    SKAO

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

    Affiliation as printed

    INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna

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References 105