Published March 2026 | Version Published
Journal Article Open

Euclid preparation. LXXXIII. The impact of redshift interlopers on the two-point correlation function analysis

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  • 1. ROR icon Brera Astronomical Observatory
  • 2. ROR icon INFN Sezione di Genova
  • 3. ROR icon University of Genoa
  • 4. ROR icon French National Centre for Scientific Research
  • 5. ROR icon International School for Advanced Studies
  • 6. ICSC – Centro Nazionale di Ricerca in High Performance Computing, Big Data e Quantum Computing, Via Magnanelli 2, Bologna, Italy
  • 7. ROR icon INFN Sezione di Trieste
  • 8. ROR icon University of Trieste
  • 9. ROR icon Trieste Astronomical Observatory
  • 10. ROR icon Institute for Fundamental Physics of the Universe
  • 11. ROR icon Jet Propulsion Lab
  • 12. ROR icon Johns Hopkins University
  • 13. ROR icon California Institute of Technology
  • 14. ROR icon Istituto di Astrofisica Spaziale e Fisica Cosmica di Milano
  • 15. ROR icon Institut d'Astrophysique de Paris
  • 16. ROR icon Institute of Space Sciences
  • 17. ROR icon University of Padua
  • 18. ROR icon INFN Sezione di Padova
  • 19. ROR icon University of Waterloo
  • 20. ROR icon Perimeter Institute
  • 21. ROR icon University of Minnesota
  • 22. ROR icon Infrared Processing and Analysis Center
  • 23. ROR icon Institut d'Astrophysique Spatiale
  • 24. ROR icon European Space Astronomy Centre
  • 25. ROR icon University of Surrey
  • 26. INAF-Osservatorio di Astrofisica e Scienza dello Spazio di Bologna, Via Piero Gobetti 93/3, 40129, Bologna, Italy
  • 27. ROR icon University of Bologna
  • 28. ROR icon INFN Sezione di Bologna
  • 29. ROR icon Osservatorio Astronomico di Padova
  • 30. ROR icon Agenzia Spaziale Italiana
  • 31. ROR icon Osservatorio Astrofisico di Torino
  • 32. ROR icon University of Naples Federico II
  • 33. ROR icon Astronomical Observatory of Capodimonte
  • 34. ROR icon University of Porto
  • 35. ROR icon University of Turin
  • 36. ROR icon INFN Sezione di Torino
  • 37. ROR icon European Space Research and Technology Centre
  • 38. ROR icon Leiden University
  • 39. ROR icon Astronomical Observatory of Rome
  • 40. ROR icon INFN Sezione di Roma I
  • 41. ROR icon Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas
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  • 43. ROR icon RWTH Aachen University
  • 44. ROR icon INFN Sezione di Napoli
  • 45. ROR icon University of Hawaii at Manoa
  • 46. ROR icon Instituto de Astrofísica de Canarias
  • 47. ROR icon University of Edinburgh
  • 48. ROR icon University of Manchester
  • 49. ROR icon European Space Research Institute
  • 50. ROR icon Claude Bernard University Lyon 1
  • 51. ROR icon University of Barcelona
  • 52. ROR icon Institució Catalana de Recerca i Estudis Avançats
  • 53. UCB Lyon 1, CNRS/IN2P3, IUF, IP2I Lyon, 4 rue Enrico Fermi, 69622, Villeurbanne, France
  • 54. ROR icon Institut d'Estudis Espacials de Catalunya
  • 55. ROR icon University of Lisbon
  • 56. ROR icon University of Geneva
  • 57. ROR icon Institute for Space Astrophysics and Planetology
  • 58. ROR icon Center for Particle Physics of Marseilles
  • 59. ROR icon University of Bristol
  • 60. ROR icon Ludwig-Maximilians-Universität München
  • 61. ROR icon Max Planck Institute for Extraterrestrial Physics
  • 62. ROR icon University of Milan
  • 63. ROR icon INFN Sezione di Milano
  • 64. ROR icon University of Oslo
  • 65. Felix Hormuth Engineering, Goethestr. 17, 69181, Leimen, Germany
  • 66. ROR icon Technical University of Denmark
  • 67. ROR icon University of Copenhagen
  • 68. ROR icon Max Planck Institute for Astronomy
  • 69. ROR icon Goddard Space Flight Center
  • 70. ROR icon University College London
  • 71. ROR icon University of Helsinki
  • 72. ROR icon University of Paris
  • 73. ROR icon Helsinki Institute of Physics
  • 74. ROR icon Sorbonne University
  • 75. ROR icon Netherlands Institute for Radio Astronomy
  • 76. ROR icon Centre de Calcul de l'Institut National de Physique Nucléaire et de Physique des Particules
  • 77. ROR icon University of Applied Sciences and Arts Northwestern Switzerland
  • 78. ROR icon University of Bonn
  • 79. ROR icon Durham University
  • 80. ROR icon Observatoire de la Côte d'Azur
  • 81. ROR icon Lagrange Laboratory
  • 82. ROR icon Astroparticle and Cosmology Laboratory
  • 83. CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, IRL2007, CPB-IN2P3, Berkeley, USA
  • 84. ROR icon École Polytechnique Fédérale de Lausanne
  • 85. Aurora Technology for European Space Agency (ESA), Camino bajo del Castillo s/n Urbanizacion Villafranca del Castillo, Villanueva de la Cañada, 28692, Madrid, Spain
  • 86. ROR icon Institute for High Energy Physics
  • 87. ROR icon Newcastle University
  • 88. ROR icon Centre National d'Études Spatiales
  • 89. ROR icon Institute of Space Science
  • 90. ROR icon Spanish National Research Council
  • 91. ROR icon University of La Laguna
  • 92. ROR icon Heidelberg University
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  • 98. Cosmic Dawn Center (DAWN)
  • 99. ROR icon Polytechnic University of Cartagena
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  • 101. ROR icon University of Ferrara
  • 102. ROR icon INFN Sezione di Ferrara
  • 103. ROR icon Istituto di Radioastronomia di Bologna
  • 104. ROR icon University of Oxford
  • 105. ROR icon Groupe Institut supérieur d'agriculture de Lille
  • 106. ROR icon Institute for Theoretical Physics
  • 107. ROR icon Case Western Reserve University
  • 108. ROR icon Technical University of Munich
  • 109. ROR icon Max Planck Institute for Astrophysics
  • 110. ROR icon University of Salamanca
  • 111. ROR icon Observatory of Strasbourg
  • 112. ROR icon University of Tokyo
  • 113. ROR icon Max Planck Institute for Physics
  • 114. ROR icon University of California, Irvine
  • 115. ROR icon University of Salento
  • 116. ROR icon INFN Sezione di Lecce
  • 117. INAF-Sezione di Lecce, c/o Dipartimento Matematica e Fisica, Via per Arnesano, 73100, Lecce, Italy
  • 118. ROR icon Institute of Physics of Cantabria
  • 119. ROR icon National Observatory
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  • 121. ROR icon University of Portsmouth
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  • 123. ROR icon Ruhr University Bochum
  • 124. ROR icon University of Turku
  • 125. Serco for European Space Agency (ESA), Camino bajo del Castillo s/n Urbanizacion Villafranca del Castillo, Villanueva de la Cañada, 28692, Madrid, Spain
  • 126. ROR icon ARC Centre of Excellence for Dark Matter Particle Physics
  • 127. ROR icon Swinburne University of Technology
  • 128. ROR icon University of the Western Cape
  • 129. ROR icon University of Cambridge
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  • 131. ROR icon Institut de Recherche sur les Lois Fondamentales de l'Univers
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  • 134. ROR icon Grenoble Institute of Technology
  • 135. ROR icon Arcetri Astrophysical Observatory
  • 136. ROR icon Sapienza University of Rome
  • 137. ROR icon Centre for Astrophysics of the University of Porto
  • 138. HE Space for European Space Agency (ESA), Camino bajo del Castillo s/n Urbanizacion Villafranca del Castillo, Villanueva de la Cañada, 28692, Madrid, Spain
  • 139. ROR icon Princeton University
  • 140. ROR icon Uppsala University
  • 141. ROR icon University of Lille
  • 142. ROR icon University of Oulu
  • 143. Center for Computational Astrophysics, Flatiron Institute, 162 5th Avenue, 10010, New York, NY, USA

Abstract

Context. The Euclid galaxy survey is designed to measure the spectroscopic redshift of emission-line galaxies (ELGs) by identifying the Hα emission line in their slitless spectra. The efficacy of this approach crucially depends on the signal-to-noise ratio (S/N) of the line, as sometimes noise fluctuations in the spectrum continuum can be misidentified as Hα. In addition, other genuine strong emission lines can be mistaken for Hα, depending on the redshift of the source. Both effects lead to ambiguities in the redshift measurement that can result in catastrophic redshift errors and the inclusion of ‘interloper’ galaxies in the sample.

Aims. This paper forecasts the impact on the galaxy clustering analysis of the expected redshift errors in the Euclid spectroscopic sample. Specifically, it investigates the effect of the redshift interloper contamination on the galaxy two-point correlation function (2PCF) and, in turn, on the inferred growth rate of structure 8 and Alcock–Paczynski (AP) parameters α and α.

Methods. This work is based on the analysis of 1000 synthetic spectroscopic catalogues, the EuclidLargeMocks, which mimic the area and selection function of the Euclid Data Release 1 (DR1) sample. We estimated the 2PCF of contaminated catalogues and separated the different contributions, particularly those coming from galaxies with correctly measured redshift and from contaminants. We explored different models of increasing complexity to describe the measured 2PCF at a fixed cosmology, with the aim of identifying the most efficient model to reproduce the data. Finally, we performed a cosmological inference and evaluated the systematic error on the inferred 8α, and α values associated with different models.

Results. Our results demonstrate that a minimal modelling approach, which only accounts for an attenuation of the clustering signal regardless of the type of contaminants, is sufficient to recover the correct values of 8α, and α at DR1. The accuracy and precision of the estimated AP parameters are largely insensitive to the presence of interlopers. The adoption of a minimal modelling induces a 1%–3% systematic error on the growth rate of structure estimation, depending on the considered redshift. However, this error remains smaller than the statistical error expected for the Euclid DR1 analysis.

Copyright and License

© The Authors 2026. Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Acknowledgement

The authors acknowledges support from MIUR, PRIN 2022 (grant 2022NY2ZRS 001). Simulations and computations in this work have been run at the computing facilities of INFN, Sezione di Genova: the authors wish to thank the INFN IT personnel in Genova for their precious and constant support. P.M. acknowledges support from Italian Research Center on High Performance Computing Big Data and Quantum Computing (ICSC), by the Fondazione ICSC National Recovery and Resilience Plan (PNRR) Project ID CN-00000013 and by the PRIN 2022 PNRR project (code no. P202259YAF) funded by “European Union – Next Generation EU”, Mission 4, Component 1, CUP J53D23019100001. We acknowledge usage of Pleiadi system of INAF (Taffoni et al. 2020Bertocco et al. 2020). The Euclid Consortium acknowledges the European Space Agency and a number of agencies and institutes that have supported the development of Euclid, in particular the Agenzia Spaziale Italiana, the Austrian Forschungsförderungsgesellschaft funded through BMIMI, the Belgian Science Policy, the Canadian Euclid Consortium, the Deutsches Zentrum für Luft- und Raumfahrt, the DTU Space and the Niels Bohr Institute in Denmark, the French Centre National d’Etudes Spatiales, the Fundação para a Ciência e a Tecnologia, the Hungarian Academy of Sciences, the Ministerio de Ciencia, Innovación y Universidades, the National Aeronautics and Space Administration, the National Astronomical Observatory of Japan, the Netherlandse Onderzoekschool Voor Astronomie, the Norwegian Space Agency, the Research Council of Finland, the Romanian Space Agency, the State Secretariat for Education, Research, and Innovation (SERI) at the Swiss Space Office (SSO), and the United Kingdom Space Agency. A complete and detailed list is available on the Euclid web site (www.euclid-ec.org/consortium/community/).

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Additional details

Related works

Is new version of
Discussion Paper: arXiv:2505.04688 (arXiv)

Funding

Ministero dell'Istruzione e del Merito
PRIN 2022 2022NY2ZRS 001
European Union
J53D23019100001
European Space Agency

Dates

Submitted
2025-05-06
Accepted
2025-11-23
Available
2026-03-17
Published online